A university student frequents one of two coffee houses on campus, choosing Tim Hortons 80% of the time and Starbucks 20% of the time. Regardless of where she goes, she buys a decaffeinated coffee on 90% of her visits. (a) The next time she goes into a coffee house on campus, what is the probability that she goes to Tim Hortons and orders a decaffeinated coffee? (Enter your answer to two decimal places.) ✓ 0.72 (b) Are the two events in part (a) independent? Explain. O Yes, because the probability that the student orders a decaffeinated coffee is 0.9 regardless of whether the student visits Tim Hortons or Starbucks. O No, because the probability that the student orders a decaffeinated coffee depends on whether the student visits Tim Hortons or Starbucks. (c) If she goes into a coffee house and orders a decaffeinated coffee, what is the probability that she is at Starbucks? 0.0278 x

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A university student frequents one of two coffee houses on campus, choosing Tim Hortons 80% of the time and Starbucks 20% of the time. Regardless of where she goes, she buys a decaffeinated
coffee on 90% of her visits.
(a) The next time she goes into a coffee house on campus, what is the probability that she goes to Tim Hortons and orders a decaffeinated coffee? (Enter your answer to two decimal places.)
0.72
(b) Are the two events in part (a) independent? Explain.
Yes, because the probability that the student orders a decaffeinated coffee is 0.9 regardless of whether the student visits Tim Hortons or Starbucks.
O No, because the probability that the student orders a decaffeinated coffee depends on whether the student visits Tim Hortons or Starbucks.
(c) If she goes into a coffee house and orders a decaffeinated coffee, what is the probability that she is at Starbucks?
0.0278
X
(d) What is the probability that she goes to Tim Hortons or orders a decaffeinated coffee or both? (Enter your answer to two decimal places.)
0.98
Submit Answer
Transcribed Image Text:A university student frequents one of two coffee houses on campus, choosing Tim Hortons 80% of the time and Starbucks 20% of the time. Regardless of where she goes, she buys a decaffeinated coffee on 90% of her visits. (a) The next time she goes into a coffee house on campus, what is the probability that she goes to Tim Hortons and orders a decaffeinated coffee? (Enter your answer to two decimal places.) 0.72 (b) Are the two events in part (a) independent? Explain. Yes, because the probability that the student orders a decaffeinated coffee is 0.9 regardless of whether the student visits Tim Hortons or Starbucks. O No, because the probability that the student orders a decaffeinated coffee depends on whether the student visits Tim Hortons or Starbucks. (c) If she goes into a coffee house and orders a decaffeinated coffee, what is the probability that she is at Starbucks? 0.0278 X (d) What is the probability that she goes to Tim Hortons or orders a decaffeinated coffee or both? (Enter your answer to two decimal places.) 0.98 Submit Answer
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