Binomial distribution is a very important and common distribution in statistics. A binomial variable X is always
Fantastic news! We've Found the answer you've been seeking!
Question:
Binomial distribution is a very important and common distribution in statistics. A binomial variable X is always COUNT of something. But not all count variables have binomial distributions. There are 4 binomial settings to justify whether a variable X is a Binomial variable or not.
Transcribed Image Text:
a. There are a fixed number n of observations. b. The n observations are all independent. c. Each observation falls into just two categories. We define one of them as 'Success', and the other 'Failure'. d. The probability of success for a single observation (p) is the same for each observation. Keep these in mind, and tell whether the variable X is a binomial variable or not. It has to satisfy all 4 settings to be binomial variable. If X is a binomial variable, write in the form X- Bin (n, p), with n and p values specified. If X is not a binomial variable, which of the 4 settings are violated? (1) (2.5pts)Research shows that around 90% of the chicken eggs will hatch at 100°F. X is the number of hatched eggs from an incubator set as 100 °F in a farm. (2) (2.5pts)Research shows that around 90% of the chicken eggs will hatch at 100 °F, but only 80% at 95 °F. In a farm, there are two incubators, and each have 20 eggs to hatch. One incubator is set at 100 °F and the other is set at 95 °F. X is the total number of hatched eggs from both incubators. (3) (2.5pts)Research shows that chicken eggs and duck eggs hatch rate at 100°F are both 90%. 10 chicken eggs and 10 duck eggs are put in an incubator controlled at 100 °F. X is the number of hatched eggs from the incubator. (4) (2.5pts)When an opinion poll calls residential telephone numbers at random, only 20% of the phone calls reach a live person. X is the number of calls that reach a live person out of 20 dialings from the random digit dialing machine. a. There are a fixed number n of observations. b. The n observations are all independent. c. Each observation falls into just two categories. We define one of them as 'Success', and the other 'Failure'. d. The probability of success for a single observation (p) is the same for each observation. Keep these in mind, and tell whether the variable X is a binomial variable or not. It has to satisfy all 4 settings to be binomial variable. If X is a binomial variable, write in the form X- Bin (n, p), with n and p values specified. If X is not a binomial variable, which of the 4 settings are violated? (1) (2.5pts)Research shows that around 90% of the chicken eggs will hatch at 100°F. X is the number of hatched eggs from an incubator set as 100 °F in a farm. (2) (2.5pts)Research shows that around 90% of the chicken eggs will hatch at 100 °F, but only 80% at 95 °F. In a farm, there are two incubators, and each have 20 eggs to hatch. One incubator is set at 100 °F and the other is set at 95 °F. X is the total number of hatched eggs from both incubators. (3) (2.5pts)Research shows that chicken eggs and duck eggs hatch rate at 100°F are both 90%. 10 chicken eggs and 10 duck eggs are put in an incubator controlled at 100 °F. X is the number of hatched eggs from the incubator. (4) (2.5pts)When an opinion poll calls residential telephone numbers at random, only 20% of the phone calls reach a live person. X is the number of calls that reach a live person out of 20 dialings from the random digit dialing machine.
Expert Answer:
Answer rating: 100% (QA)
1 For the first we have given that rate of hatching at 100F is 90 That means probability of success ... View the full answer
Related Book For
Financial Accounting Tools for business decision making
ISBN: 978-0470534779
6th Edition
Authors: Paul D. Kimmel, Jerry J. Weygandt, Donald E. Kieso
Posted Date:
Students also viewed these mathematics questions
-
Carbon accounting is a very important and huge growth area of accounting. Discuss the different stakeholders (and their information needs) that would be interested in the carbon accounting report.
-
A companys tradename is a very important asset to the company, as it creates immediate product identification. Companies invest substantial sums to ensure that their product is well-known to the...
-
Supply Chain management is a very important aspect within business operation to make sure that the company is able to operate and meet the marketing demands. It is also important to consider that...
-
Katz Hat Shop received a shipment of hats for which it paid the wholesaler $2,970. The price of the hats was $3,000, but Katz was given a $30 cash discount and required to pay freight charges of $50....
-
Banks sometimes quote interest rates in the form of "add-on interest." In this case, if a 1-year loan is quoted with a 20% interest rate and you borrow $1,000, then you pay back $1,200. But you make...
-
How much energy is stored in the forewing when a force at the tip deflects it by 3.5 mm? A. 0.766 mJ B. 49.0 mJ C. 0.219 J D. 1.70 kJ 2L/3- 6.0- Hindwing 5.0 1/ Forewing 4.0- 3.0 2.0- Hindwing 3 1.0...
-
Mr. Prestages foot and lower leg were caught in a combine manufactured by defendant SperryNew Holland. He and his wife sued Defendant for damages arising out of the accident. Their first cause of...
-
A recent Gallup poll of 519 adults who flew in the past year (published in The Economist, June 16, 2007, p. 6) found the following their number 1 complaints about flying: cramped seats (45), cost...
-
What sql commands are used in RDBMS? What are the 5 basic SQL queries?
-
Create two tables based on the E-R model shown in Figure 4-41 and the business rules in the following list for a work order tracking database. Include all the constraints in the CREATE TABLE...
-
STANDARDIZATION OF ca 0.02M KMnO4 SOLUTION WITH STANDARD OXALIC ACID. REQUIREMENTS (1) KMnO4 solution (0,02M) (2) Oxalic acid 0.05M (3) 3M H2SO4 solution The oxalic acid dihydrate solution was...
-
1. Design one class that represents these types of objects: CINEMA PRESENTS FILM TITLE SCREEN ADULT standard 14 PRICE 8.60 DATE PROGRAMME TIME 06/11/2011 18:00 RATING 12A PRINTABLE MOVIE NIGHT...
-
If logsy-A=Blogsx, where x>0 and y > 0, then y is equal to Oa. x85A Ob. b. x8 5A O c. x-A Od. y B(5A)
-
3. Given f(x)=2x-12x+18x a) Use the second derivative sign chart to determine the intervals on which f(x) is concave up and concave down. b) Give the coordinates of any inflection points.
-
Solve the given differential equation. y= y'-y=13 (Use C as the arbitrary constant.) ID: 31.2.17
-
John raises Angus cattle and sells them to a packing house. McDonald's then sells the meat supplied by the packer as hamburgers. In this scenario, which of the following economic terms best describes...
-
Question 1 Tribeca Putt-Putt Golf Sideshow Bob manages the Tribeca Putt Putt Golf course on a third of an acre owned by Tribeca Putt Putt Golf CEO (Krusty the Clown) in the Tribeca area of Manhattan....
-
Should we separate the debt and equity features of convertible debt? Team 1: Pro separation: Present arguments in favor of separating the debt and equity features of convertible debt. Team 2: Against...
-
Match each of the following forms of business organization with a set of characteristics: sole proprietorship (SP), partnership (P), corporation (C). (a) _____ Shared control, tax advantages,...
-
At December 31 of a recent year, the following information (in thousands) was available for sunglasses manufacturer Oakley, Inc.: ending inventory $155,377; beginning inventory $119,035; cost of...
-
Selected transactions for Charlotte Corporation during its first month in business are presented below. Sept. 1 Issued common stock in exchange for $20,000 cash received from investors. 5 Purchased...
-
The role of state governments in providing public primary and secondary education varies greatly. In one case, the state government operates the school system; in a number of others, the state...
-
The education grant simulation case showed that a program of matching grants was not effective in equalizing per pupil spending because demand was relatively inelastic. What other means might be used...
-
Congestion is a common problem on roads and other transportation systems. Carefully explain what an economist means by congestion and why it is an economic problem.What type of user charge can solve...
Study smarter with the SolutionInn App