Submit Test Question #13 / 25 Anita\'s, a fast-food chain specializing in hot do
ID: 3070366 • Letter: S
Question
Submit Test Question #13 / 25 Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so-it can ma decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 40 individual customers is taken. a. Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. (If necessary, consult a list of formulas.) Clear Undo ee Prev. Question Next Question >> 2 3 4 5 6 7 8Explanation / Answer
Here, we can consider the binomial distribution
p = Probability of success
n = Number of trails = sample size
in our case, p = 0.52
n = 40
Mean of binomial distribution = n * p
Standard deviation of binomial distribution = ( n * p * ( 1 - p ))0.5
a. Mean number of customers who order their food to go = n * p = 40 * 0.52 = 20.8
b. Standard deviation = ( n * p * ( 1 - p ))0.5 = (40 * 0.52 * ( 1 - 0.52 ))0.5 = 3.160