Question

Computers are shut down for certain periods of time for routine maintenance, installation of new hardware,...

  1. Computers are shut down for certain periods of time for routine maintenance, installation of new hardware, and so on. The downtimes for a particular computer are normally distributed with a mean, , of 1.5 hours and a standard deviation, , of 0.4 hours.

    Find the probability a downtime will exceed 0.5 hours.

4 points   

QUESTION 16

  1. Find the probability a downtime will be between 2 and 2.5 hours.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

P(x > 0.5) = 1 - P(x < 0.5)

= 1 - P[(x - ) / < (0.5 - 1.5) / 0.4)

= 1 - P(z < -2.5)

= 1 - 0.0062

= 0.9938

Probability = 0.9938

16.

P(2 < x < 2.5) = P[(2 - 1.5)/ 0.4) < (x - ) /  < (2.5 - 1.5) / 0.4) ]

= P(1.25 < z < 2.5)

= P(z < 2.5) - P(z < 1.25)

= 0.9938 - 0.8944

= 0.0994

Probability = 0.0994

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