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Old June 29th, 2009, 09:31 PM
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Quote:
Originally Posted by WillB View Post
Hello everyone!

I would like to know how to do this question.
Let X have the distribution N(80,225). Find
a. P(75 \le X \le 85)
b. P(X<50)
c. P(X>95)
d. P(|X-80|>18)

Thanks
Are you using tables?

Your textbook or class notes should have salient examples to follow. You will need to be much more specific in stating what you can and can't do.

Note:

If using tables, you first need to convert X-values to Z-values.

a. = Pr(X < 85) - Pr(X < 75) = ....

b. \Pr(X < 50) = \Pr \left(Z < \frac{50 - 80}{15}\right) = \Pr(Z < -2) = \Pr(Z > 2) = 1 - \Pr(Z < 2).

c. = 1 - Pr(X < 95) = ....

d. = Pr(X > 98) + Pr(X < 62) = 2 Pr(X > 98) (since 80 is the mean) = 2 (1 - Pr(X < 98)) = ....
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