For the standard normal distribution, find the following probabilities. (a) Pr(0 leq Z leq 2.5)

Question
Normal distributions
asked 2021-01-28
For the standard normal distribution, find the following probabilities.
(a) \(Pr(0 \leq Z \leq 2.5)\)

Answers (1)

2021-01-29
Consider the probability \(P(0 < z < 2.5)\),
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.
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 \(P(0 < z < 2.5)\) is A_{2.5}.
So the value of A_{2.5} from the appendix is 0.4938.
Hence the value of \(P(0 \leq z \leq 2.5)\) is 0.4938.
0

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