Based on the caterer's experience, 38% of attendees to events will prefer chicken for the main dish.As the caterer plans for an event attended by 780 individuals, the normal approximation will be used for the binomial with a correction for continuity.In this case, what is the standard deviation of the number that she would expect to prefer chicken, when determining the probability that at less than 300 will prefer chicken?
A)114.0
B)300.0
C)183.8
D)296.4
E)13.6

Question

Quizplus · Accepted Answer

The standard deviation for a binomial distribution is calculated using the formula √(n * p * (1-p)), where n is the number of trials and p is the probability of success. Here, n = 780 and p = 0.38, so the standard deviation is √(780 * 0.38 * 0.62) ≈ 13.6.

Based on the Caterer's Experience, 38% of Attendees to Events