A sporting goods manufacturer was asked to sponsor a local boy in two fishing tournaments. They claim the probability that he will win the first tournament is 0.5. If he wins the first tournament, they estimate the probability that he will also win the second is 0.4. They guess that if he loses the first tournament, the probability that he will win the second is 0.3. Complete parts a through e below. a) According to their estimates, are the two tournaments independent? Explain your answer. O A. Yes; the outcome of the first tournament has no impact on the second tournament. O B. Yes; all events are independent. O C. No; no events are independent. D. No; the outcome of the first tournament determines the probability of winning the second tournament. b) What's the probability that he loses both tournaments? 0.35 (Type an integer or a decimal. Do not round.) c) What's the probability that he wins both tournaments? 0.2 (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. 0 P(x) (Type integers or decimals. Do not round.)