Question

Three students scheduled interviews for summer employment at the ARCA Institute. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews. a. List the experimental outcomes. b. Define a random variable that represents the number of offers made. Is the random variable continuous? c. Show the value of the random variable for each of the experimental outcomes

Answer 1

The experimental outcomes will be (Y, Y, Y), (Y, Y, N), (Y, N, Y), (N, Y, Y), (Y, N, N), (N, Y, N), (N, N, Y), (N,N, N)

How to explain the outcome?

It should be noted that in the outcomes, (Y, Y, N) illustrates that the first student has an offer, the second student has an offer and the third student has no offer.

The random variable will be the number of orders which is represented by x. In this case, it's not continuous as it's a discrete variable taking values of 0, 1, 2, 3,

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