Determine whether the random variable is discrete or continuous. In each case, s

Question

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of people with blood type A in a random sample of 14 people. (b) The time it takes to fly from City A to City B. (a) Is the number of people with blood type A in a random sample of 14 people discrete or continuous? A. The random variable is discrete. The possible values are x = 0, 1, 2, , 14. B. The random variable is continuous. The possible values are x = 0, 1, 2, , 14. C. The random variable is discrete. The possible values are 0 lessthanorequalto x lessthanorequalto 14. D. The random variable is continuous. The possible values are 0 lessthanorequalto x lessthanorequalto 14. (b) Is the time it takes to fly from City A to City B discrete or continuous? A. The random variable is continuous. The possible values are t > 0. B. The random variable is continuous. The possible values are t = 1, 2, 3, C. The random variable is discrete. The possible values are t= 1, 2, 3, D. The random variable is discrete. The possible values are t > 0.

Explanation / Answer

ques a

the correct answer is option a.
x is a rv variable counting the number of person having a blood type in a sample of 14
since we can count it is discrete and the possible values are 0,1,2....,14 like 0 person can have blood type a, 1person can have it and so on.

ques b

the correct answer is option a
time is a continuous variable and it cannot be negative.

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