2. 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 exactly 3 calls the lines are occupied? b. What is the probability that at least 1 call the lines are not occupied? c. What is the expected number of calls in which the lines are all occupied?
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We want to find the probability that exactly 3 out of 10 calls have the lines occupied. This is a binomial probability problem with n = 10 trials, k = 3 successes, and p = 0.4 probability of success (lines occupied). The binomial probability formula is: $P(X=k) = Show more…
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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. (i) What is the probability that for exactly three calls the lines are occupied? (ii) What is the probability that for at least one call the lines are not occupied? (iii) What is the expected number of calls in which the lines are all occupied?
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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. For the next 10 calls to the airlines, what is the probability that exactly 3 of the calls will get an occupied line? Round your answer to 3 decimal places. For the next 10 calls to the airlines, what is the probability that at least 1 call gets an occupied line? Round your answer to 3 decimal places.
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