Solve the questions below

Q.1 Give an example for each of the following concepts:

(i) Discrete variable.

(ii) Continuous variable.

(iii) Nominal-level measurement.

(iv) Ordinal-level measurement.

(v) Interval-level measurement.

(vi) Ratio-level measurement.

2 Classify each according to level of measurement with the

interpretation of the meaning of zero if exist.

(i) Ages of students in the college (in years).

(ii) Ages premature babies in the maternity hospital (in

hours).

(iii) Color of eyes of people.

(iv) Colors of Spectrum of light.

(v) Rankings of football players.

(vi) Temperatures inside room (in Celsius).

(vii) Temperatures inside high cold cooling device in a labor (in Kelvin).

(viii) Nationalities of the workers in Riyadh.

(ix) Salaries of employees in the college.

(x) Weights of boxes of fruits.

(xi) Criminal cases in court

3 Classify each variable as qualitative or quantitative.

(i) Time neededtofinish the exam.

(ii) Colors of basketball team T-shirts.

(iii) Weights of luggage of passengers.

(iv) Classification of children in a day care center according to gender.

(v) Marital status of faculty members in King Saud

University.

(vi) Horsepower of tractor engines.

4 Classify each variable as discrete or continuous

(i) Lifetime (in hours) of table lamps.

(ii) Number of cars rented each week.

(iii) Number of cups sold each day by coffee shop.

(iv) Weights of boys in a school.

(v) Capacity (in gallons) of ten jugs of oil.

5 Classify each sample as simple random, systematic, stratified, or cluster

(i) Out of every 50 cars manufactured is checked to determine its gear.

(ii) Out of every 10 customers entering a shopping mall

is asked to select his favourite store.

(iii) Assistant professors are selected using random numbers to determine annual salaries.

6 For each of these statements, define the population and

state how a sample might be obtained.

(i) Every 40 minutes, 1 people die in car crashes and

120 are injured is Saudi Arabia.

(ii) The average cost of an airline mail is 20SAR.

7 The table below shows the number of new AIDS cases in

the U.S. in each of the years

Year New AIDS cases

1989 33,643

1990 41,761

1991 43,771

1992 45,961

1993 103,463

1994 61,301

Classify the study as either descriptive or inferential..

8 The table below shows the average income by age group

for the residents in Riyadh in the year 2012. The average

incomes for each age group are estimates based on a sample

of size 100 from each group.

Age group Average income

18 - 24 33,643

25 - 39 41,761

40 - 54 43,771

55 - 70 45,961

Over 70 103,463

Classify the study as either descriptive or inferential.

boll. A commercial building has two entrances, num- um- bered I and II. Three people enter the building at nes 9:00 A.M. Let X denote the number that select entrance I. Assuming the people choose entrances our independently, find the probability distribution for X. Were any additional assumptions necessary in arriving at your answer?Question 16 (1 point) Select all of the following statements which are true regarding random variables and their probability distributions. The following set of probabilities is a potential probability distribution (probability mass function). X P(X=x) 15 0.21 18 0.68 9 0.10 10 0.01 The following set of probabilities is a potential probability distribution (probability mass function). x P(X=x) 6.1 0.42 7.5 0.32 9.5 -0.25 8.5 0.51 A continuous random variable does not have a countable number of distinct values, while a discrete variable does. A discrete random variable does not have a countable number of distinct values, while a continuous variable does.The following set of probabilities is a potential probability distribution (probability mass function). X P(X=x) 24 0.25 25 10.15 26 10.32 27 10.12 The probability that a discrete random variable assumes a value can be anything, even a value above 1. The probability that a discrete random variable assumes a value can only be a number between O and 1 (including 0 and 1)