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 is 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 the airline running out of vegetarian dinners is the probability that more than 35 passengers request a vegetarian meal. This can be calculated using the binomial distribution:P(X > 35) = 1 - P(X <= 35) = 1 - sum(binomial(360, 0.08, k) for k in range(36)) = 0.081Therefore, the probability that the airline will be short of vegetarian dinners is 0.081.

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