Q:

# Which of the following random variables is not discrete? A) The number of classes taken in one semester by a student B) The annual rainfall in a city C) The attendance at a football game D) The number of patients treated at an emergency room in a day

Accepted Solution

A:
Answer:b) The annual rainfall in a city Step-by-step explanation:Remember, a discrete variable is one that can only take a finite number of values between any two values of a characteristic and a continuous variable is one that can take an infinite number of values between any two values of a characteristic.a) Observe that the variable x='classes taken in one semester' can take the values 0,1,2,...,n.Then the variable x is discreteb) Observe that the variable x='annual rainfall in a city' can take the values 2in, 1.6in, 5.1 in, 0.1inThen, the variable x can be take a infinite number of values between two number. So x isn't a discrete variable.c) The variable x='attendance at a football game' can take the values 3000,5000... n. And never will be a decimal number because There cannot be a personal decimal number. Therefore, x is a discrete variable.d) The variable x='patients treated at an emergency room in a day' can take the values 1,2,3,...,n. And never will be a decimal number because There cannot be a personal decimal number. Therefore, x is a discrete variable.