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Chapter 5: Q. 62 (page 351)
Use the following information to answer the next seven exercises. A distribution is given as Find the median.
The value of median is 0.9241
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A fireworks show is designed so that the time between fireworks is between one and five seconds, and follows a uniform
distribution.
a. Find the average time between fireworks.
b. Find probability that the time between fireworks is greater than four seconds.
The number of miles driven by a truck driver falls between , and follows a uniform distribution.
a. Find the probability that the truck driver goes more than miles in a day.
b. Find the probability that the truck drivers goes between miles in a day.
c. At least how many miles does the truck driver travel on the furthest of days?
What is the area under f(x) if the function is a continuous probability density function?
Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. Find the average age of the cars in the lot.
On average, a pair of running shoes can last 18 months if used every day. The length of time running shoes last is exponentially distributed. What is the probability that a pair of running shoes last more than 15 months? On average, how long would six pairs of running shoes last if they are used one after the other? Eighty percent of running shoes last at most how long if used every day?
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