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:
- What is the probability that he will make exactly four sales inthe course of an hour? ( 3 marks)
- 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:
- Calculate the mean and standard deviation for the probabilitydistribution of the number of defective antennas in the randomsample. ( 2 marks)
- 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
