Converting to the standard normal random variable z, the probability statement P(x 2 44.5) is now P(Z 2 2.96). Recall that the normal probability table gives area under the curve to the left of a given z value. Since we want the area to the right of z = 2.96 and the area under the entire curve is 1, the area to the left of z = 2.96 can be subtracted from 1. Use the table to find the probability that more than 44.5 adults in the group smoke, P(z 2 2.96), rounding the result to four decimal places. P(Z 2 2.96) = 1 - P(Z ≤ 2.96) = 1- 44.5 = 2.96 X X

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Converting to the standard normal random variable z, the probability statement P(x ≥ 44.5) is now P(Z > 2.96). Recall that the normal probability table gives area under the curve to the left of a given z value.
Since we want the area to the right of z = 2.96 and the area under the entire curve is 1, the area to the left of z = 2.96 can be subtracted from 1.
Use the table to find the probability that more than 44.5 adults in the group smoke, P(Z > 2.96), rounding the result to four decimal places.
P(Z ≥ 2.96) = 1 - P(Z ≤ 2.96)
= 1
44.5
=
2.96
X
X
Transcribed Image Text:Converting to the standard normal random variable z, the probability statement P(x ≥ 44.5) is now P(Z > 2.96). Recall that the normal probability table gives area under the curve to the left of a given z value. Since we want the area to the right of z = 2.96 and the area under the entire curve is 1, the area to the left of z = 2.96 can be subtracted from 1. Use the table to find the probability that more than 44.5 adults in the group smoke, P(Z > 2.96), rounding the result to four decimal places. P(Z ≥ 2.96) = 1 - P(Z ≤ 2.96) = 1 44.5 = 2.96 X X
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