If P(-2 < Z < k)=.6 , where Z is a standard normal random variable, then...

If P(-2 < Z < k)=.6 , where Z is a standard normal random variable, then k is... Select one: a. 0.195 b. 0.73 c. 0.55 d. -0.40

Expert Solution

P(-2 < z < k) = 0.60
P(z < k) - P(z < -2) = 0.60

From the z-table,
P(z < -2) = 0.0228 (shown in the figure below)

P(z < k) - 0.0228 = 0.60
P(z < k) = 0.6228

From the z-table,
k = 0.31 corresponds to the p-value of 0.6228

Note: There is no option matching the k-value. The answer solved here is correct as per the question. Either the question might have been incorrectly posted, please check if there are any incorrect figures OR the options are incorrect.

orchestra answered 1 year ago

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