York

2020-11-26

For the standard normal distribution, find the following probabilities.

(с)$Pr(z\le 2.5)$

(с)

Asma Vang

Skilled2020-11-27Added 93 answers

The z score for a normally distribution of x is,

Where,

Calculation:

Consider the standard probability distribution,

Now, the normal distribution is symmetric about mean 0.5.

So this implies,

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.

To find the probability look in the column headed by z for the value of 2.5 in appendix C.

In the column headed by A across 2.5 the corresponding value is 0.4938.

Thus the probability

So the value of

The value of

Hence the value of

Read carefully and choose only one option

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