The probability is 0.04 that a passenger on United Airlines flight 9841 is a Platinum flyer (50,000 miles per year).

1.The probability is 0.04 that a passenger on United Airlines flight 9841 is a Platinum flyer (50,000 miles per year).

 

(a) If 150 passengers take this flight, find the binomial and Poisson probability of no platinum flyers.(Round your answers to 4 decimal places.)

 

  Binomial probability
  Poisson probability

 

(b) If 150 passengers take this flight, find the binomial and Poisson probability of 3 platinum flyer.(Round your answers to 4 decimal places.)

 

  Binomial probability
  Poisson probability

 

(c) If 150 passengers take this flight, find the binomial and Poisson probability of 4 platinum flyers.(Round your answers to 4 decimal places.)

 

  Binomial probability
  Poisson probability

 

In a major league baseball game, the average is 1.8 broken bat per game.

 

(a) Find the probability of no broken bats in a game. (Round your answer to 4 decimal places.)

 

  Probability

 

(b) Find the probability of at least 2 broken bats in a game. (Round your answer to 4 decimal places.)

 

  Probability
(e) Is the Poisson approximation justified?
Yes
No

2.

The probability that an American CEO can transact business in a foreign language is .30. Eleven American CEOs are chosen at random.

(a) What is the probability that none can transact business in a foreign language? (Round your answer to 4 decimal places.)
  Probability
(b)

What is the probability that at least two can transact business in a foreign language? (Round your answer to 4 decimal places.)

  Probability
(c)

What is the probability that all 11 can transact business in a foreign language? (Round your answer to 10 decimal places.)

  Probability

3.

In a major league baseball game, the average is 1.8 broken bat per game.
(a) Find the probability of no broken bats in a game. (Round your answer to 4 decimal places.)
  Probability
(b) Find the probability of at least 2 broken bats in a game. (Round your answer to 4 decimal places.)
  Probability
9.
value:

10.00 points

The probability that an American CEO can transact business in a foreign language is .40. Fourteen American CEOs are chosen at random.

(a) What is the probability that none can transact business in a foreign language? (Round your answer to 4 decimal places.)
  Probability
(b)

What is the probability that at least two can transact business in a foreign language? (Round your answer to 4 decimal places.)

  Probability
(c)

What is the probability that all 14 can transact business in a foreign language? (Round your answer to 10 decimal places.)

  Probability