Find the following probabilities for the standard normal distribution Pr(z>2.5)

Albarellak

Albarellak

Answered

2021-01-08

Find the following probabilities for the standard normal distribution  Pr(z>2.5)

Answer & Explanation

joshyoung05M

joshyoung05M

Expert

2021-01-09Added 97 answers

z=xμσ
The normal distribution is symmetric about mean 0.5.
P(z>2.5)=0.5Pr(z2.5)
The probability that the z lies between 0 and 2.5 is equal to the area that lies under the curve from 0 and 2.5.
In the column headed by A across 2.5 the corresponding value is 0.4938.
The probability P(0z2.5) is A2.5.
So the value of A2.5 from the appendix C is 0.4938.


The value of P(z>2.5) 
P(z>2.5)=0.50.4938=0.0062


Aswer is 0.0062.

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