Write down the possible values for the following random variables. (a) Consider

Question

Write down the possible values for the following random variables. (a) Consider that you are counting the number of customers entering the Walmart center on Highway 12 during 5am-8am on a Saturday morning. Let X be the number of customers. Write down all the possible values for X. [Alert: do not physically drive out there to count the heads; you might catch cold. This question is only an intellectual practice]. (b) We inspect 50 iphones. Let X be the number of defective ones. What are the possible values of X? (c) We toss 100 coins. Let X be the number of tails. What are the possible values of X? List them all. (d) We interview 100 CEOs. Let X be the number of CEOs who are aged below 40. List all the possible values of X.

Explanation / Answer

A) since its early morning, we can expect that the maximum number of customers that will come to walmart in the given time period is 100

The possible values of x are

0,1,2,3,4,5,6,7,8,9,10,11,12,13,14.......,97,98,100

B) The possible values of X are 0,1,2,3,4,5,6,7,8,9,10,11,12,13,.......,47,48,49,50

C) The possible values of X are

0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15...,98,99,100

D) The possible values of X are

0,1,2,3,4,5,6,7,8,9,10,11,12....98,99,100

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