5. A hotel elevator is rated to safely carry up to 10 passengers with a total we

Question

5. A hotel elevator is rated to safely carry up to 10 passengers with a total weight of 2,300 pounds. Therefore, if the elevator has 10 passengers (with no luggage or other items), the mean weight of each passenger can be up to 230 poand if the average adult male weighs 190 pounds with a standard deviation of 40 pounds, what is the probability that the elevator will be overloaded if a random group of 10 adult males boards the elevator at the same time? Round your answer to four decimal places. (2 pts)

Explanation / Answer

=190

=40

x=230

z=(x-)/()

=(230-190)/(40)

=40/40

=1

P(x>230) =P(z>1)

               =1-P(z<1)

               =1-0.8413

               =0.1587

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