Let X be a normal random variable with mean 12 and variance 4. Find the value...

Question

Question

Let X be a normal random variable with mean 12 and variance 4. Find the value of c such that P{X > c} = .10.

Provide the both the name (...th percentile) and the notation (?! with numerical value of ?) of the quantity 9.

math Statistics-And-Probability

Answer 1

Answer #1

Define the standard random variable Z as

Now from normal table we have

To find the percentile of 9, we find

So percentile of 9 is 6.68th

Answer 2

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