An airline has found that on average,8% of its passengers request vegetarian meals.On a flight with 360 passengers the airline has 35 vegetarian dinners available.What's the probability that it will be short of vegetarian dinners?
A)0.081
B)0.919
C)0.067
D)0.394
E)0.606

Question

Quizplus · Accepted Answer

The probability of a passenger requesting a vegetarian meal is 0.08. The probability of not requesting a vegetarian meal is 1 - 0.08 = 0.92. The probability of having 35 or fewer passengers requesting a vegetarian meal is the sum of the probabilities of having 0, 1, 2, ..., 35 passengers requesting a vegetarian meal. This can be calculated using the binomial distribution. The probability of having 35 or fewer passengers requesting a vegetarian meal is 0.919. Therefore, the probability of being short of vegetarian dinners is 1 - 0.919 = 0.081.

An Airline Has Found That on Average,8% of Its Passengers