Roberto, Dominique, and Clarice works for a publishing company. The company want

Question

Roberto, Dominique, and Clarice works for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Roberto and Dominique attend the conference? (c) What is the probability that Dominique attends the conference? (d) What is the probability that Clarice stay home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name. A. RD, RC, DC, DR, CR, CD B. RD, RC, DC C. RD, RC, DC, RR, DD, CC. D. RD, RC (b) The probability that Roberto and Dominique attend the conference is . (c) The probability that Dominique attends the conference is . (d) The probability that Clarice stays home is .

Explanation / Answer

a) Sample space of the experiment i.e. list of all possible simple random sample of size n = 2 is,

RD,RC, DC

b) The Probability that Roberto and Dominique attand the conferance is,1 / 3 = 0.3

c) The probability that Dominique attend the conference is , Number of time Dominique selected in the sample divided by total number of samples = 2 /3 = 0.7

d) The probability that Clarice stays home means number of times Clarice not selected in the sample divided by total number of sample = 1 / 3 = 0.3

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