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:
- 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)
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:
- 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)
- What is the probability that less than three antennas will be
defective? ( 4 marks)