SDS321GP24Sol - SDS321GP24 1 Lets suppose I randomly select...

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SDS321GP24 1. Let’s suppose I randomly select one of the four dice I carry around. Recall one only rolls 5’s, one rolls 2 and 6, and two are fair. a) What is the probability that if I select one at random and roll it, I will roll a 5? Answer using total probability: 0*1/4+1*1/4+1/6*1/2=0+1/4+1/12=1/3=24/72 b) What is the probability that if I roll that die twice, both times it is a 5? Answer using total probability: 0*0*1/4+1*1*1/4+1/6*1/6*1/2=0+1/4+1/72=19/72 c) What’s the probability that if I randomly select a die and roll a 5 the first time I roll it, the next roll is also a 5? That is, let A= event of rolling a 5 on the first roll and B = event that you rolled a 5 on the second one. P(B|A)= c a. 1/3 b. 19/72 c. 19/24 d. 24/19 e. None of the above 2. Suppose, that in a firm producing automobile restraint systems, the entire production in each of 10 consecutive months has yielded no complaint from their clients. With no additional information on the average number of complaints per
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