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QUESTION 4 ( 8 marks) A telemarketer is able make a sale on 27% of the...

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Statistics

QUESTION 4 ( 8 marks)

A telemarketer is able make a sale on 27% of the phone calls hemakes. Assume that he makes 12 calls in an hour. Answer thefollowing questions, assuming a binomial probabilitydistribution:

Required:

  1. What is the probability that he will make exactly four sales inthe course of an hour? ( 3 marks)
  2. What is the probability that he will make at least three salesin the course of an hour? Hint: Use theapproach that requires the least calculation work! ( 5marks)

Suppose 1.6% of the antennas on new Nokia cell phones aredefective. For a random sample of 235 antennas, answer thefollowing questions (assume a Poisson probabilitydistribution):

Required:

  1. Calculate the mean and standard deviation for the probabilitydistribution of the number of defective antennas in the randomsample. ( 2 marks)
  2. What is the probability that exactly five of the antennas willbe defective? What is the probability that less than three antennaswill be defective? ( 4 marks)

i need fully explanation and calculation of theanswer

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