Determine whether the following value is a continuous random variable, discrete

Question

Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rain in City Upper A during Julyamount of rain in City A during July b. The "yes" or "no" response to a survey question"yes" or "no" response to a survey question c. The number of home runs in a baseball gamenumber of home runs in a baseball game d. The time it takes for a light bulb to burn outtime it takes for a light bulb to burn out e. The number of textbook authors now eating a mealnumber of textbook authors now eating a meal f. The number of people in a restaurant that has a capacity of 250number of people in a restaurant that has a capacity of 250

Explanation / Answer

a. The amount of rain in City Upper A during Julyamount of rain in City A during July

not a random variable

b. The "yes" or "no" response to a survey question"yes" or "no" response to a survey question

this is a discrete random variable since we only have 2 options

c. The number of home runs in a baseball gamenumber of home runs in a baseball game

this is a discrete random variable because the number of home runs in this problem only can be integers numbers never with decimals or fractions of home runs

d. The time it takes for a light bulb to burn outtime it takes for a light bulb to burn out

this is a contunuous random variable because the time has minutes, hours or seconds that you can use like decimals

e. The number of textbook authors now eating a mealnumber of textbook authors now eating a meal

this is adiscrete random variable because the number of textbook are a integer number

f. The number of people in a restaurant that has a capacity of 250number of people in a restaurant that has a capacity of 250

this is a discrete random variable because the number of person only can be integers , never a half of a person

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