# Question: A sporting goods manufacturer was asked to sponsor a local

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 0.4. If he wins the first tournament, they estimate the probability that he will also win the second is 0.2. They guess that if he loses the first tournament, the probability that he will win the second is 0.3.

a) According to their estimates, are the two tournaments independent? Explain your answer.

b) What’s the probability that he loses both tournaments?

c) What’s the probability he wins both tournaments?

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 standard deviation of X?

a) According to their estimates, are the two tournaments independent? Explain your answer.

b) What’s the probability that he loses both tournaments?

c) What’s the probability he wins both tournaments?

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 standard deviation of X?

**View Solution:**## Answer to relevant Questions

Your company bids for two contracts. You believe the probability that you get contract #1 is 0.8. If you get contract #1, the probability that you also get contract #2 will be 0.2, and if you do not get contract #1, the ...Suppose that the appliance shop in Exercise 23 plans an 8-hour day. a) Find the mean and standard deviation of the number of repair calls they should expect in a day. b) What assumption did you make about the repair ...A day trader buys an option on a stock that will return $100 profit if the stock goes up today and lose $400 if it goes down. If the trader thinks there is a 75% chance that the stock will go up, a) What is her expected ...During the 18 years from 1995 through 2012, there were 144 hurricanes in the Atlantic basin. Assume that hurricanes are independent and the mean has not changed. a) What is the mean number of major hurricanes per year? b) ...Suppose we choose 12 people instead of the 5 chosen in Exercise 57 a) Find the mean and standard deviation of the number of right-handers in the group. b) What’s the probability that they’re not all right- handed? c) ...Post your question