9)
Given
= 10, = 4
We convert this to standard normal as
P (X < x) = P( Z < x - / )
So,
P( 7 < X < 13) = P (X < 13) - P( X < 7)
= P (Z < 13 - 10 / 4) - P (Z < 7 - 10 / 4)
= P(Z < 0.75) - P( Z < -0.75)
= 0.7734 - 0.2266
= 0.5468
10)
80th percentile = + Z ,Where Z is critical value at 80% confidence level.
23 = + 0.8416 * 4
Solve for
= 19.6336
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