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. This is continuous random variable, as the variable can take any values between two specified values. For example rain in city Upper A during July is 5.6mm.

b. This is dicreate in nature as respondants will be checking an integer value between 0 and plus infinity. She will not choose 2.3 Yes or No.

c. This is discrete variable as number of home runs can take any integer value between 0 and plus infinity.

d. Continuous variable. Here the time can be any value between two specified one. For example, burn out tim efor light bulb might be between 200 minutes to 500.55 minutes.

e. Discrete random variable. The number of authors can take only integer value between 0 to plus infinity. 2 author staking meal but not 2.5 authors.

f. Discrete random varaible. Number of people will also be an integer value between 0 and plus infinity. It can not be 129.5 people.

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