The timos per wook a student uses a lab comiputer are normally dstrbuted with a

Question

The timos per wook a student uses a lab comiputer are normally dstrbuted with a mean of 6 5 hours and a standard deviation of 1.4 hours A student is randomly selected Find the following probabiltes (a) Find the probability that the student uses a lab computer less than 5 hours per week (b) Find the probability that the student uses a lab computer between 7 and 8 hours per week (c) Find the probability that the student uses a lab computer more than 9 hours per week (a) The probablity that a student uses a lab computer less than 5 hours per week is (Round to three decimal places as needed ) The probability that student uses alab conoter between 7 and 8 hours per week ts Round to three decimal places as needed ) (c) The probability that a studont uses a lab computer more than 9 hours per week is Round to three decimal places as needed)

Explanation / Answer

a) P(X<5)

= P(Z<(5-6.5)/1.4)

= P(Z<-1.07)

use excel function

NORMSDIST(-1.07)

= 0.142

b) P(7<X<8)

P((7-6.5)/1.4<Z<(8-6.5)/1.4)

= P(0.36<Z<0.86)

= 0.219

c) P(X>9)

P(Z>(9-6.5)/1.4)

= P(Z>1.79)

= 0.037

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