Question

determine whether the value is a discrete random variable, continuous random variable, or not a random variable.
a. the number of people with blood type a in a random sample of 48 people
b. the number of fish caught during a fishing tournament
c. the eye color of people on commercial aircraft flights
d. the number of textbook authors now sitting at a computer
e. the amount of snowfall in december in city a
f. the number of statistics students now reading a book

a. is the number of people with blood type a in a random sample of 48 people a discrete random variable, a continuous random variable, or not a random variable?

a. it is a discrete random variable.
b. it is a continuous random variable.
c. it is not a random variable.

Explanation:

A discrete random variable has a countable number of possible values. The number of people with blood type A in a sample, number of fish caught, number of textbook authors at a computer, and number of statistics students reading a book are all countable. The amount of snowfall is a continuous random variable as it can take on any value in an interval. Eye - color is not a random variable in the numerical sense as it is a categorical variable.

1. The number of people with blood type A in a random sample of 48 people is countable, so it is a discrete random variable.
2. The number of fish caught during a fishing tournament is countable, so it is a discrete random variable.
3. Eye color is a categorical variable, not a random variable in the numerical sense.
4. The number of textbook authors now sitting at a computer is countable, so it is a discrete random variable.
5. The amount of snowfall in December in City A can take on any value in an interval, so it is a continuous random variable.
6. The number of statistics students now reading a book is countable, so it is a discrete random variable.

Answer:

a. A. It is a discrete random variable.
b. A. It is a discrete random variable.
c. C. It is not a random variable.
d. A. It is a discrete random variable.
e. B. It is a continuous random variable.
f. A. It is a discrete random variable.