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You are considering a population that is normally distributed with μ = 22 and σ =...

You are considering a population that is normally distributed with μ = 22 and σ = 5. Compute the following by converting to the standard normal distribution and using the Alternate Z Table that I posted on Canvas (4 points each):

a. p(X < 20)

b. p(X > 21)

c. p(23< X < 27)

d. p(X < 19 or X > 23)

e. p(X > 24 given that X > 23)

f. The range of scores centered around the mean that include 80% of the area under the normal curve. In other words, find the values j and k that makes the following true: p(j < X < k) = 0.8.

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