Homework: practice problems- module 10 Score: 0 of 1 pt 6.5.11 Save 3 of 4 (2 co
ID: 3283726 • Letter: H
Question
Homework: practice problems- module 10 Score: 0 of 1 pt 6.5.11 Save 3 of 4 (2 complete) ? Hw Score: 50%, 2 of 4 pts EQuestion Help The capacity of an elevator is 8 people or 1304 pounds. The capacity will be exceeded if 8 people have weights with a mean greater than 1304/8-163 pounds. Suppose the people have weights that are normally distributed with a mean of 173 Ib and a standard deviation of 35 lb. a. Find the probability that if a person is randomly selected, his weight will be greater than 163 pounds. The probability is approximately(Round to four decimal places as needed.)Explanation / Answer
Probability that a person selected at random has weight greater than 163 = P(X>163) = P( (X-173)/ 35 > (163-173)/35)
= P(Z > -0.2857) = P(Z<0.2857) = 0.6124
The probability is aproximately = 0.6124
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