1. Michael Jordan likes to take 3-point shots. In fact, the number of 3-point shots he...

Transcribed Image Text:

1. Michael Jordan likes to take 3-point shots. In fact, the number of 3-point shots he takes up to time t is a Poisson process with rate 10 per hour. We assume that a game starts at 6pm. (a) What is the expected number of 3-point shots he takes in the first 10 minutes of a game? (b) What is the expected number of 3-point shots he takes between 6:20pm and 6:30pm? (c) What is the probability that he takes exactly one 3-point shot between 6:20pm and 6:30pm? (d) What is the expected time he takes 5 3-point shots? Suppose he didn't take any 3-point shot in the first 10 minutes. Given that he has not taken any 3-point shot in the first 10 minutes, what is the expected time it takes for him to take the first 3-point shot? Now suppose that Michael can make any particular 3-point shot with probability 0.4 (independently of all other shots). 1. Michael Jordan likes to take 3-point shots. In fact, the number of 3-point shots he takes up to time t is a Poisson process with rate 10 per hour. We assume that a game starts at 6pm. (a) What is the expected number of 3-point shots he takes in the first 10 minutes of a game? (b) What is the expected number of 3-point shots he takes between 6:20pm and 6:30pm? (c) What is the probability that he takes exactly one 3-point shot between 6:20pm and 6:30pm? (d) What is the expected time he takes 5 3-point shots? Suppose he didn't take any 3-point shot in the first 10 minutes. Given that he has not taken any 3-point shot in the first 10 minutes, what is the expected time it takes for him to take the first 3-point shot? Now suppose that Michael can make any particular 3-point shot with probability 0.4 (independently of all other shots).

Answer rating: 100% (QA)

a The expected number of 3point shots he takes in the first 10 minutes of a game is 8 This is becaus... View the full answer