Name Probability Project 3 Due Feb 7 2014 1 Sam is tossing a pentagonal solid or five sided solid The faces are numbered 1 to 5 He tosses it twice List the sample space for this experiment 1 point 2 You plan to have four children and the gender of each child is equally likely to be a male as a female a Construct a tree diagram for this situation 2 points b Determine the probability that your family has 3 points Four girls exactly one son At least one son 3 Find the probability of drawing 3 jacks in a row a if the card is replaced after each draw 1 point b if no cards are replaced in the deck after each draw 1 point 4 A biased coin is tossed 3 times P H 7 Construct a tree diagram to represent this situation 2 points 5 Us the tree diagram above and determine the probability of tossing 4 points a exactly 2 heads b Three heads c 2 or 3 heads c at least one tail 5 Construct a Venn diagram to represent this situation There is a 0 35 probability that John will purchase a new care a 0 65 probability that Mary will purchase a new car and a 20 probability that they both will purchase a new car 1 point 6 Use the Venn diagram in 5 and determine the probability that 3 points a John or Mary will purchase a new car b neither John nor Mary will purchase a new car c John will purchase a new car if Mary purchases one or given Mary has purchased a new car 7 Use the binomial formula and show your work Be sure to list the binomial coefficient for full credit Find the chance that Sam will have exactly 7 questions correct on a 10 point True False test if he plans to guess at the answers since he has not studied and did not attend class 2 points
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