Use the standard normal distribution to find P (z2.66)

P (z2.66) = 0.0138

Step-by-step explanation:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

P (z2.66)

P (z < - 2.33)

Z = - 2.33 has a pvalue of 0.0099. So

P (z < - 2.33) = 0.0099.

P (z > 2.66)

1 subtracted by the pvalue of Z when X = 2.66.

Z = 2.66 has a value of 0.9961

P (z > 2.66) = 1 - 0.9961 = 0.0039

P (z2.66) = P (z 2.66) = 0.0099 + 0.0039 = 0.0138

P (z2.66) = 0.0138