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In: Statistics and Probability

QUESTION 4 ( 8 marks) A telemarketer is able make a sale on 28% of the...

QUESTION 4 ( 8 marks)

A telemarketer is able make a sale on 28% of the phone calls he makes. Assume that he makes 11 calls in an hour. Answer the following questions, assuming a binomial probability distribution:

Required:

  1. What is the probability that he will make exactly four sales in the course of an hour? ( 3 marks)

  1. What is the probability that he will make at least three sales in the course of an hour? Hint: Use the approach that requires the least calculation work! ( 5 marks)

QUESTION 5 ( 8 marks)

Suppose 1.5% of the antennas on new Nokia cell phones are defective. For a random sample of 240 antennas, answer the following questions (assume a Poisson probability distribution):

Required:

  1. Calculate the mean and standard deviation for the probability distribution of the number of defective antennas in the random sample. and What is the probability that exactly five of the antennas will be defective? ( 4 marks)
  2. What is the probability that less than three antennas will be defective? ( 4 marks)

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