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Contact [7]
3 years ago
12

The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie

d on successive calls are independent. Assume that eight calls are placed to the airline.(a) What is the probability that for exactly two calls the lines are occupied
Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

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