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It has been determined that the mean amount of time that computer science majors spend on...

It has been determined that the mean amount of time that computer science majors spend on homework each week is approximately normally distributed with a mean of 15.2 hours and standard deviation 3.1 hours. What is the probability that a randomly selected computer science major will spend more than 14.5 hours on homework in a given week?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

Given that,

mean =  = 15.2 hours

standard deviation =  = 3.1 hours

p ( x > 14.5 )

= 1 - p (x < 14.5)

= 1 - p ( x -  / ) < ( 14.5 - 15.2/ 3.1 )

= 1 - p ( z < - 0.7 / 3.1 )

= 1 - p ( z < - 0.23 )

Using z table

= 1 - 0.4090

= 0.5910

Probability = 0.5910

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