Question

Identify which of the following is most appropriate: discrete random variable, continuous random variable, or not a random variable.
a. Exact weights of the next 100 babies born in the United States
b. Responses to the survey question "Which political party do you prefer?"
c. Numbers of spins of roulette wheels required to get the number 7
d. Exact foot lengths of humans
e. Shoe sizes (such as 8 or 8½) of humans.

Answer 1

Answer:

A.) Continuous random variable ;Not a random variable ; Discrete random Variable ; Continuous random variable ; discrete random variable

Step-by-step explanation:

Identify which is most appropriate category for the sample data given below :

a. Exact weights of the next 100 babies born in the United States

This is a continuous random varibake as it could take up any value including decimals in other to specify the exact weight of an individual.

b. Responses to the survey question "Which political party do you prefer?"

Not a random variable as the outcome to this question isn't numerical.

c. Numbers of spins of roulette wheels required to get the number 7

This is a discrete random variable as the number of roulette spins would be a whole number within a specified fic range.

d. Exact foot lengths of humans

Continuous random variable

The exact foot length of human would vary greatly and in a bid to give an exact value, foot length will most definitely take up decimal values

e. Shoe sizes (such as 8 or 8½) of humans.

This is also a discrete random variable as shoe sizes are restricted to a specific range. Even with the inclusion of 1/2 in the measurement, there are no values inbetween (8 and 8 1/2) which will be the same for the remaining value range.