Assume that the distributions for the following scenarios are normal. Use the normal standard table to find the following probabilities. Fill in blanks, round z-scores to the nearest hundredth.  1) The average score on a math test is 75 with a standard deviation of 8. What is the probability that a randomly selected test has a score of 90 or higher?        P(z > ______) = _________   2) The life of a gas grill is 3.5 years with a standard deviation 0.35 years. What is the probability that the grill will last less than 3 years?   P(z < -1.43) = _________   3) Ambulance response times average 7.5 minutes with a standard deviation of 2.5. What is the probability that an ambulance will respond within 6 to 8 minutes.  P(_____ < z < ______) = 0.3050

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that the distributions for the following scenarios are normal. Use the normal standard table to find the following probabilities. Fill in blanks, round z-scores to the nearest hundredth. 

1) The average score on a math test is 75 with a standard deviation of 8. What is the probability that a randomly selected test has a score of 90 or higher?       

P(z > ______) = _________

 

2) The life of a gas grill is 3.5 years with a standard deviation 0.35 years. What is the probability that the grill will last less than 3 years?  

P(z < -1.43) = _________

 

3) Ambulance response times average 7.5 minutes with a standard deviation of 2.5. What is the probability that an ambulance will respond within 6 to 8 minutes. 

P(_____ < z < ______) = 0.3050

 

 

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