sta4321-13-1

# sta4321-13-1 - 2/ 3 Exercises Exercise 5.22 (p.232) Jerry...

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Continuous Random Variables

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Exercises Exercise 5.4 (p.220) The weekly repair cost, X , for a certain machine has a probability density function given by f ( x )= ± cx ( 1 - x ) , & 0 x 1 0 , otherwise with measurements in \$100s. (a) Find the value of c that makes this function a valid probability density function. (b) Find and sketch the distribution function of X . (c) What is the probability that repair costs will exceed \$75 during a week? (d) What is the probability that the repair costs will exceed \$75 given that they will exceed \$50? Arthur Berg Continuous Random Variables
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Unformatted text preview: 2/ 3 Exercises Exercise 5.22 (p.232) Jerry is always early for appointments, arriving between 10 minutes early to exactly on time. The distribution function associated with X , the number of minutes early he arrives, is as follows: F ( x ) = , x &lt; x 2 40 , x 4 20 x-x 2-40 60 , 4 x 10 1 , x &gt; 10 Find the mean number of minutes Jerry is early for appointments. Arthur Berg Continuous Random Variables 3/ 3...
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## sta4321-13-1 - 2/ 3 Exercises Exercise 5.22 (p.232) Jerry...

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