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Unformatted text preview: 90 CHAPTER 5. CONTINUOUS RANDOM VARIABLES Exercise 5.8 The age of a first grader on September 1 at Garden Elementary School is uniformly distributed from 5.8 to 6.8 years. We randomly select one first grader from the class. a. X = b. X ~ c. Graph the probability distribution. d. f ( x ) = e. = f. = g. Find the probability that she is over 6.5 years. h. Find the probability that she is between 4 and 6 years. i. Find the 70th percentile for the age of first graders on September 1 at Garden Elementary School. Exercise 5.9 (Solution on p. 96.) Let X ~Exp(0.1) a. decay rate= b. = c. Graph the probability distribution function. d. On the above graph, shade the area corresponding to P ( X < 6 ) and find the probability. e. Sketch a new graph, shade the area corresponding to P ( 3 < X < 6 ) and find the probability. f. Sketch a new graph, shade the area corresponding to P ( X > 7 ) and find the probability. g. Sketch a new graph, shade the area corresponding to the 40th percentile and find the value. h. Find the average value of X . Exercise 5.10 Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to 8 minutes.exponential distribution with the average length of a call equal to 8 minutes....
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 Fall '08
 Ripol
 Statistics

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