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Name: Answers AP Statistics Continuous Distributions Review 1) In a recent study, it was found that in one town the number of hours that a typical 10-year-old child watches television per week is normally distributed with a mean of 12 hours and a standard deviation of 1.5 hours. If Gary is a typical 10-year-old child in this town, what is the probability that he watches between 9 and 14 hours of television per week? .8860 2) An electric circuit is designed so that voltage levels are uniformly distributed between 5.00V and 9.00V. Find the probability that a randomly selected voltage level is between 7.00V and 8.50V. .375 3) If heights of adult males are normally distributed with a mean of 70.2 inches and a standard deviation of 4.2 inches, and 95% of all adult males satisfy a minimum height requirement for police officers, what is that minimum height requirement? 63.29 inches 4) Suppose that a distribution is shown to the right. a) P x 1 .25 b) P x 2 .375 c) P 1 x 3 .75 .5 .25 1 2 3 5) In studying ocean conditions, the Bureau of Fisheries found that for one location, the August water temperatures (in degrees Fahrenheit) were normally distributed with a mean of 83.6 and a standard deviation of 2.4. Find the temperature that is exceeded 10% of the time. 86.68˚F 6) A service station is located at one end of a 4-kilometer tunnel. Any vehicle breakdown requires servicing is equally likely to occur at any point in the tunnel. a) What is the probability that a service call will involve a vehicle located in the first 1.8 km? .45 b) What is the probability that a service call will involve a vehicle located at least halfway in the tunnel? .5 7) The amount of money spent weekly on cleaning, maintenance and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed with mean of $615 and standard deviation of $42. The amount of money spent weekly on salaries is also approximately normally distributed with a mean of $5000 with standard deviation of $205. If the restaurant budgets $6000 for cleaning, maintenance, repairs and salaries, what is the probability that the actual costs will exceed the budgeted amount? .0329