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

ruigE

ruigE

Answered question

2021-10-27

A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 55.0 and 70.0.

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-10-28Added 169 answers

Mean of the normal distribution is μ=80 and the standard deviation is σ=14
Let X serve as the random element.
P(55<X<70)=P(55μ<Xμ<70μ)
=P(55μσ<Xμσ<70μσ)
=P(558014<z<708014)
=P(2514<z<1014)
=P(-1.78 Calculate because the two points are on the same sides of the mean.
P(-1.78 P(55 =P(0 =0.4625-0.2611 (from Appendix B1.)
=0.2014

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