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The phone lines to an airline reservation system are
Chapter 3, Problem 101E(choose chapter or problem)
The phone lines to an airline reservation system are occupied 40% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are placed to the airline.
(a) What is the probability that for exactly three calls, the lines are occupied?
(b) What is the probability that for at least one call, the lines are not occupied?
(c) What is the expected number of calls in which the lines are all occupied?
Questions & Answers
QUESTION:
The phone lines to an airline reservation system are occupied 40% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are placed to the airline.
(a) What is the probability that for exactly three calls, the lines are occupied?
(b) What is the probability that for at least one call, the lines are not occupied?
(c) What is the expected number of calls in which the lines are all occupied?
ANSWER:Solution:
Step 1 of 3:
The probability that the phone lines to an airline reservation system are occupied is 0.40.
The events that the lines xare occupied on successive calls are independent.
Ten calls are placed to the airline.
- We have to find the probability that for exactly three calls, the lines are occupied.
- We have to find the probability that for at least one call, the lines are not occupied.
- We have to find the expected number of calls in which the lines are all occupied.