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Questions and Answers of Business Statistics

How many ways are there of drawing seven cards from a deck of 52 cards? Note that the cards are not replaced.
In how many ways can the digits from 0 to 5 be arranged three at a time?
Eight-ball pool, one of the most popular pool games, has 15 coloured and striped balls, numbered from 1 to 15, and a white cue ball. In how many ways could six of the numbered balls be arranged?
A committee of 5 is selected from a group of 7 faculty and 50 students. In how many different ways can the committee be selected if it must consist of two faculty and three students?
A panel discussion of seven employees consists of 4 women and 3 men. In how many ways can this group be selected from 15 men and 20 women?
If a committee of 6 is being selected from a group of 10 men and 12 women, in how many ways can this committee be arranged if at least 3 must be women?
A crew of eight is required for each midnight shift at the airport. There are 50 employees to choose from, and 30 of these are men. In how many ways can the crew be selected if at least half must be
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students: a.?What is the probability of selecting a
Consumers were surveyed on the number of visits to a Sears store (often, occasional, and never) and if the store was located in an enclosed mall (yes and no). The results are summarized in a
The marketing department has been given the assignment of designing colour codes for the 42 different lines of compact disks (CDs) sold by Goody Records. Three colours are to be used on each CD, but
a. Some Saskatchewan licence plates have three letters and three numbers. How many licence plates of this type can there be?b. Some Ontario licence plates have four letters and three numbers. How
Canadian postal codes consist of three letters and three digits, which alternate and start with a letter. For example, R2E 0M4 is a postal code from Winnipeg, Manitoba. How many postal codes can be
A study was done of the 377 vehicles parked in the college parking lot last Friday. The results were as follows: a.?What is the probability of finding a white car?b.?What is the probability of
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area. Sort the data
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area. Sort the data
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Sam Simone is the manager of a family-run pet store. He is deciding whether to open an hour later on Sundays. From past sales on Sundays he has determined that the probability of zero sales during
Compute the mean and variance of the following discrete probability distribution:x ................P(x)2 ................0.58 ................0.310 .............0.2
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. a.?Which of the above tables is a probability
The following table lists the probability distribution for cash prizes in a lottery conducted at Lawson’s Department Store:Prize ($) ................Probability$0
You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is: What is the probability you will
The parking authority in downtown Halifax reported the following information for a sample of 250 customers on the number of hours cars are parked and the amount they are charged: a. Convert the
The likelihood that a student will go to the cafeteria during a class break is 0.25. In a sample of 4 students, determine the probabilities of the following
The likelihood that an adult attending a weekday afternoon theatre performance is a senior is 0.40. In a sample of 5 adults, determine the probabilities of the following
A recent survey found that 60% of college students had part-time jobs. If 12 students are selected, find the following probabilities:a. x = 5.b. x ≤ 5.c. x ≥ 6.
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 30% of the customers entering the store that
Kolzak Appliance Outlet just received a shipment of 10 TV sets. Shortly after they were received, the manufacturer called to report that he had inadvertently shipped three defective sets. Ms. Kolzak,
Professor Jon Hammer has a pool of 15 multiple-choice questions regarding probability distributions. Four of these questions involve the hypergeometric distribution. What is the probability at least
Professor Hunking finds an average of 4 grammatical errors (x) per case study submitted by his Business Policy class. The distribution of errors approximates a Poisson distribution.a. What is
Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Ms. Kimberley Veevers, statistics editor, reports that the mean number
What are the requirements for the binomial distribution?
Under what conditions will the binomial and the Poisson distributions give roughly the same results?
Samson Apartments has a large number of units available to rent each month. A concern of management is the number of vacant apartments each month. A recent study revealed the percentage of the time
The vice-president of human resources at Lowes Inc. is studying the number of on-the-job accidents over a period of one month. He developed the following probability distribution. Compute the mean,
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. a.?Which of the above tables is a probability
The Bank of Hudson Bay reports that 7% of its credit card holders will default at some time in their life. The Moose Factory branch just mailed out 12 new cards today.a. How many of these new
A manufacturer of computer chips claims that the probability of a defective chip is 0.002. The manufacturer sells chips in batches of 1000 to major computer companies.a. How many defective chips
The sales of Lexus automobiles in the Calgary area follow a Poisson distribution with a mean of three per day.a. What is the probability that no Lexus is sold on a particular day?b. What is
An internal study at Lahey Electronics, a large software development company, revealed the mean time for an internal email message to arrive at its destination was two seconds. Further, the
Recent crime reports indicate that 18.4 motor vehicle thefts occur every hour in Canada. Assume that the distribution of thefts per hour can be approximated by a Poisson probability distribution.a.
New Process Inc., a large mail-order supplier of women’s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large
The National Aeronautics and Space Administration (NASA) has experienced two disasters. The Challenger exploded over the Atlantic Ocean in 1986, and the Columbia exploded over east Texas in 2003.
The law firm of Hagel and Hagel is located in downtown Winnipeg. There are 10 partners in the firm: 7 live in Osborne Village and 3 live in St Boniface. Wendy Hagel, the managing partner, wants to
a. Construct a probability distribution for x = number of big-screen TVs sold.b. What is the expected number of big-screen TVs sold per month? Interpret this value.c. The price of a big-screen
A recent study revealed that 40% of women in the St. John’s area who work full-time also volunteer in the community. Suppose we randomly select eight women in the St. John’s area.a. What is
Simone has a quiz in class today. The quiz will consist of 10 multiple-choice questions, each with four possible answers. Simone has not had time to review the material or to do the practice
In the game of heads or tails, if two coins are tossed, you win $0.75 if you throw two heads, win $0.50 if you throw a head and a tail, and lose $1.00 if you throw two tails. What are the expected
The waiting time, in minutes, for service at the Tim Hortons at the front entrance of the college follows a uniform distribution between 0.5 and 8.0 minutes.a. What are the values
The mean of a normal probability distribution is 350; the standard deviation is 75.a. μ ± 1σ of the observations lie between what two values?b. μ ± 2σ of the
Given the following z-values, find the areas under the normal curve to the left and right of the z-value.a. z = 1.0b. z = -1.25c. z = 2.83d. z = -2.35
Given the following pairs of z-values, find the area under the normal curve between each pair of z-values.a. z = 1.0 and z = -1.0b. z = -1.25 and z =
The average grade in a quiz was 20.0, with a standard deviation of 4.0. The grades follow the normal distribution.a. Compute the z-value for a grade of 25.0.b. What proportion of
The average time it takes to walk to the shopping mall from campus is normally distributed, with a mean of 12.2 minutes and a standard deviation of 2.5 minutes.a. Compute the z-value
A recent study of the hourly wages of maintenance crews for major airlines showed that the mean hourly salary was $16.50, with a standard deviation of $3.50. If we select a crew member at random,
StopOne stock follows a normal distribution with a mean price of $50 and a standard deviation of $4.a. Compute the probability the stock will range between $44 and $55 during the month of
The average life of a battery is advertised as 80 hours. A quality control check found that the mean life was normally distributed at 80 hours with a standard deviation of 14 hours.a. Compute
A cola-dispensing machine is set to dispense on average 225 millilitres (mL) of cola per cup. The standard deviation is 10 mL. The distribution amounts dispensed follows a normal
The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, with a mean of $70000 and a standard deviation of $20000. A loan application is
A survey reported that the mean starting salary for college graduates after a three-year program was $33 176. Assume that the distribution of starting salaries follows the normal distribution with a
The average life of a battery is advertised at 80 hours. A quality control check found that the mean life was normally distributed at 80 hours, with a standard deviation of 14 hours. Determine the
The amounts dispensed by a cola machine follow the normal distribution with a mean of 200 mL and a standard deviation of 0.3 mL per cup. How much cola is dispensed in the largest 1% of the cups?
Refer to Exercise 24, where the amount requested for home loans followed the normal distribution with a mean of $70 000 and a standard deviation of $20 000.a. What is the minimum amount
The monthly sales of mufflers follow the normal distribution with a mean of 1200 and a standard deviation of 225. The manufacturer would like to establish inventory levels such that there is only a
The newsstand at the corner of Bloor and Yonge finds that the number of papers sold each day follows a normal probability distribution with a mean of 900 copies and a standard deviation of 150
Research on new juvenile delinquents put on probation revealed that 38% of them committed another crime.a. What is the probability that of the last 100 new juvenile delinquents put on probation, 30
Given the following z-values, find the areas under the normal curve to the left and right of the z-value:a. z = 1.56b. z = 1.83c. z = -0.78d. z = -2.45
Given the following pairs of z-values, find the area under the normal curve between each pair of z-values:a. z = -1.5 and z = 1.75b. z = 1.23
The mean of a normal probability distribution is 25 with a standard deviation of 8.a. μ ± 1σ of the observations lie between what two values?b. μ ± 2σ of the
The average salary of merchandisers is $45 000 per year with a standard deviation of $6000.a. What is the probability that a merchandiser earns more than $55 000 per year?b. What is the
Fast Service Truck Lines uses the Ford Super 1310 exclusively. Management made a study of the maintenance costs and determined the number of kilometres travelled during the year followed the normal
The average grade on a quiz was 39.5/50 (79%). Assume that the distribution of grades is normally distributed, with a standard deviation of 1.5.a. What is the probability that the average grade
The registrar at Elmwood University (EU) studied the grade point averages (GPAs) of students over many years. Assume the GPA distribution follows a normal distribution with a mean of 3.10 and a
For the most recent year available, the mean annual cost to attend a private college was $25 000. Assume that the distribution of annual costs follows the normal probability distribution and the
Many three-year automobile leases allow up to 100 000 km. If the lease goes beyond this amount, a penalty per kilometre is added to the lease cost. Suppose the distribution of kilometres driven on
A recent survey reported that the average person consumes six glasses of water per day (250 mL per glass). Assume the standard deviation of water consumption is 378.5 mL per day and the consumption
The number of cupcakes sold per week at the Coffee Bean Cafe follows the normal probability distribution, with a mean of 150 cupcakes. The standard deviation of this distribution is 5
According to the Show Box Office at the Smythe Production Company, the mean cost to run a performance is $3000. Assume that the standard deviation is $410 and that the performance cost follows a
A normal population has a mean of 50 and a standard deviation of 7.a. Compute the z-value associated with 45.b. What percentage of the population is between 45 and 63?c. What
The weights of canned hams processed at the Henline Ham Company follow the normal distribution, with a mean of 3.1 kg and a standard deviation of 0.125 kg. The label weight is given as 3
The Gravenhurst Enquirer reported that the mean number of hours worked per week by those employed full-time is 43.9. The article further indicated that about one-third of those employed full-time
Refer to the Real Estate Data—Saskatoon online, which reports information on home listings. The mean list price (in $ thousands) of the homes was computed earlier. Use the normal distribution to
Refer to the CREA (Canadian Real Estate Association) Cities Only data online, which reports information on average house prices nationally and in a selection of cities across Canada.a. Calculate the
Baxmedical stock has increased over the past five years by the following percentages: 8, 12, 14, 26, and 5. Compute the geometric mean of the percentage increases.
Enrollment in skating lessons at the Biway Community Centre has increased each year by the following percentages: 2, 8, 6, 4, 10, 6, 8, and 4. Compute the geometric percentage increase.
In 2003, the consumer price index (CPI) for Canada was 102.8, but in 2015, the CPI was 126.6. What was the geometric mean annual increase for the period?
The population of Canada has increased from 21 961 999 in 1971 to an estimated 36 155 487 in 2016 (statcan.gc.ca/start-debut-eng.html). What was the geometric mean annual increase for the period?
Listed below is the number of hours that a sample of students spent travelling to college each week. What is the median number of hours spent travelling per week? What is the mode? 10.3 11.5 10.3
Listed below is the average earnings ratio by gender for full-year, full-time workers from 2002 to 2011: (Source: Adapted from Statistics Canada. Go to Connect for complete file.) a.?What is the
The Loris Healthcare System employs 200 persons on the nursing staff. Fifty are nurse’s aides, 50 are practical nurses, and 100 are registered nurses. Nurse’s aides receive $16 per hour,
The Human Resources Director at DuPont began a study of the overtime hours in the Inspection Department. A sample of 15 workers was selected at random, and records showed they worked the following
Compute the mean hourly wage paid to carpenters who earned the following wages: $15.40, $20.10, $18.75, $22.76, $30.67, $18.00.
Continue with the Whitner Autoplex data and case from Chapter 2. Rob would like you to further develop tables and charts that he could review monthly and would like you to report where the selling

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