Intro to Stat_Part_26

# Intro to Stat_Part_26 - 92 CHAPTER 5 CONTINUOUS RANDOM...

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92 CHAPTER 5. CONTINUOUS RANDOM VARIABLES 5.2.1 Try these multiple choice problems The next three questions refer to the following information. The average lifetime of a certain new cell phone is 3 years. The manufacturer will replace any cell phone failing within 2 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. Exercise 5.15 (Solution on p. 97.) The decay rate is A. 0.3333 B. 0.5000 C. 2.0000 D. 3.0000 Exercise 5.16 (Solution on p. 97.) What is the probability that a phone will fail within 2 years of the date of purchase? A. 0.8647 B. 0.4866 C. 0.2212 d. 0.9997 Exercise 5.17 (Solution on p. 97.) What is the median lifetime of these phones (in years)? A. 0.1941 B. 1.3863 C. 2.0794 D. 5.5452 The next three questions refer to the following information. The Sky Train from the terminal to the rental car and long term parking center is supposed to arrive every 8 minutes. The waiting times for the train are known to follow a uniform distribution. Exercise 5.18 (Solution on p. 97.) What is the average waiting time (in minutes)? A. 0.0000 B. 2.0000 C. 3.0000 D. 4.0000 Exercise 5.19 (Solution on p. 97.) Find the 30th percentile for the waiting times (in minutes). A. 2.0000 B. 2.4000 C. 2.750 D. 3.000 Exercise 5.20 (Solution on p. 97.) The probability of waiting more than 7 minutes given a person has waited more than 4 minutes is?

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