Question Help * John, Clarce, and Roberto work for a publishing company The comp

Question

Question Help * John, Clarce, and Roberto work for a publishing company The company wants to send two emplayees to a statistics conference. To be fair, the company decides that two indinduals who get to atiend will have ther names drazan from a hat. This is like obtaining a simple random sample of size 2 (a) Determine the sample space of the experiment That is ist all possible simple random sampies of sze n2 (b) What is the probabnty that John and Roberto attend the conlerence? (c) What is the probablity that Roberto stays home? (a) Choose the correct answer below. (Nate that each person is represented by the first letter in thetr name ) OA. JC, JR B. JC, JR, CR CJ, RJ, RC (b)The probability that John and Roberto attend the conference is Type an integer or a simplified fraction) (c) The probability that Roberto stays home is [ ] (Type an nieger or a simplified fraction) Click to select your answerfs) 6 1 interactive Assgnment r Section 6 1 Homework

Explanation / Answer

a) As we are selecting 2 of the 3 people to go, therefore the order is not important here. The sample space for the event would be given as:

S = { JC, JR, CR }

Therefore c is the correct answer here.

b) Probability that J and R attend the conference is computed as:

= Number of ways to get JR / Total sample size

= 1/3

Therefore 1/3 is the required fraction here.

c) Probability that R stays home is computed as:

= Probability that J and C attend the conference

= 1/3

Therefore 1/3 is the required fraction here.

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