Question

Q1A:

Q1B:

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"), construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. If this proportion is correct, what is the probability that, in a so it can make decisions regarding the possible random sample of 4 customers at Anita's, exactly 2 order their food to go? Round your response to at least three decimal places. (If necessary, consult a list of formulas.) Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is 17.6 miles, and the standard deviation of the distance commuted is 3.3 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university of the commute (a) According to Chebyshev's theorem, at least 7 distances lie between 11.0 miles and 24.2 (b) According to Chebyshev's theorem, at least? of the commute distances lie between 9.35 miles and 25.85 (c) Suppose that the distribution is bell-shaped. According to the empirical of the commute distances lie between 11.0 rule, approximately? miles and 24.2 ? (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles

Answer 1

1A)P(exactly 2 orders)=⁴C₂(0.45)²(0.55)² =0.368

1B)

a ) 75%

b) 84%

c) 95%

d) between 14.3 miles and 20.9 miles