A sporting goods manufacturer was asked to sponsor a local boy in two.pdf

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A sporting goods manufacturer was asked to sponsor a local boy in two fishing tournaments. They claim the probatility that he will win the first toumament is 0.7 . If he wins the first toumament, they estimate the probabality that he will also win the second is 0.6 . They guess that it he loses the first tournament, the probablity that he will win the second is 0.5 . Complete parts a through e below. a) According to their estimates, are the two toumaments independent? Explain your answer. A. No; no events are independent. B. Yes, al events are independent. C. Yes; the cutcome of the first tournament has no impact on the second tournament. D. No; the outcome of the frst toumament determines the probability of winning the second toumament. b) What's the peobabilty that he loses both tournaments? (Type an integer or a decimal. Do not round.) c) Whars the probeblity that he wins both tournaments? (Type an integer or a decimal. Do not round.) d) Let random variable X be the number of tournaments he wins. Find the probability model for X . e) What are the expected value and sandard deviation of X? The expected value of X is (Type an integer or a decimal. Do not round.) The standard deviation of X is (Round to three decimal places as needed.).

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