A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute

Tahmid Knox

Tahmid Knox

Answered question

2021-10-17

A normal population has a mean of 80.0 and a standard deviation of 14.0. Determine the likelihood of a value of 75.0 or less.

Answer & Explanation

gotovub

gotovub

Skilled2021-10-18Added 98 answers

Mean of the normal distribution is μ=80 and the standard deviation is σ=14
Let X serve as the random element.
P(X<75)=P(Xμ<75μ)
=P(Xμσ<75μσ)
=P(z<758014)
=P(z<514)
=P(z<-0.357)
=P(z>0.357)
=0.5-P(0 =0.5-0.14-6) (from Appendix B1.)
=0.3594

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