hw9solns - Solutions to Homework 9 5.85 Let X denote the...

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Solutions to Homework 9 5.85 Let X denote the amount spent for maintenance and repairs in a certain company in the next week, then X has an approximately normal distribution with mean of 600 and standard deviation of 40. Hence, the probability that actual costs will exceed the budgeted amount is 600 700 600 ( 700) ( ) 40 40 ( 2.5) 0.0062 X P X P P Z Z has a standard normal distribution. 5.93 Let X denote the resistance of the certain type of capacitor, X has a normal distribution with mean of 800 and standard deviation of 200, then a.The proportion of capacitors which will meet this specification is 900 800 800 1000 800 (900 1000) 200 200 200 (0.5 1) (0 1) (0 0.5) 0.3413 0.1915 X P X P P Z P Z P Z 0.1498 b. Define events A: the first capacitor chosen satisfy the specifications B: the second capacitor chosen satisfy the specificaions Because the two capacitors are randomly chosen, then
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hw9solns - Solutions to Homework 9 5.85 Let X denote the...

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