Concept explainers
Fast Food Restaurant Drive-Through Service Times: Who’s Best?
Data Set 25 “Fast Food” in Appendix B includes lunch and dinner drive-through service times at McDonald’s. Burger King, Wendy’s, and Dunkin’ Donuts restaurants. Several examples and exercises in this chapter use some of those service times. For this project, use all of the service times.
Critical Thinking
Use the methods from this chapter to address the following questions.
1. Which of the four restaurants appears to have the fastest lunch drive-through service times?
2. Which of the four restaurants appears to have the fastest dinner drive-through service times?
3. Do the lunch drive-through service times appear to be different from the dinner drive-through service times? Explain.
4. Based on the available menu items at the different restaurants, does any one of the restaurants have an inherent advantage relative to service times? Explain.
5. Considering differences in menu items, is there a restaurant that appears to be more efficient than the others? Explain.
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Elementary Statistics (13th Edition)
- 6. Show that, for any random variable, X, and a > 0, Lo P(x -00 P(x < xarrow_forward5. Suppose that X is an integer valued random variable, and let mЄ N. Show that 8 11118 P(narrow_forward食食假 6. Show that I(AUB) = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B}; I(AB)= min{I{A}, I{B}} = I{A} I{B}; I{A A B} = I{A} + I{B}-21{A} I{B} = (I{A} - I{B})². -arrow_forward11. Suppose that the events (An, n ≥ 1) are independent. Show that the inclusion- exclusion formula reduces to P(UAL)-1-(1-P(Ak)). k=1 k=1arrow_forward8. Show that, if {Xn, n≥ 1} are independent random variables, then sup X,, A) < ∞ for some A.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward11. (a) Define the (mathematical and conceptual) definition of conditional probability P(A|B).arrow_forward12. (a) Explain tail events and the tail o-field. Give an example.arrow_forwardLet A, A1, A2,... be measurable sets. Then P(A)=1- P(A); • P(Ø) = 0; P(A1 UA2) ≤ P(A1) + P(A2); A1 C A2 P(A1) P(A2); P(UA) + P(n=14) = 1. Exercise 3.1 Prove these relations. ☐arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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