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

QUESTION 4 ( 8 marks)

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

Required:

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

Suppose 1.6% of the antennas on new Nokia cell phones are defective. For a random sample of 235 antennas, answer the following questions (assume a Poisson probability distribution):

Required:

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

i need fully explanation and calculation of the answer

Expert Solution

orchestra answered 1 year ago

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