Answer to Question #97568 in Statistics and Probability for Juliet Beglaryan

Answer to Question #97568 in Statistics and Probability for Juliet Beglaryan

Category:
Answers>Math>Statistics and Probability

Question #97568

2. A convention of sumo wrestlers is held at a hotel. The weight of sumo wrestlers can be approximated by a normal with mean 540 pounds and standard deviation of 45 pounds. The hotel elevator can accommodate 9 wrestlers at a time. Suppose that a simple random sample of 9 wrestlers enters the elevator. The elevator will fail if the total weight of the occupants exceeds 5000 pounds. What is the chance that the elevator will fail to operate?

Expert’s answer

If the total weight of the 9 wrestlers exceeds 5000 pounds, then the mean weight of the 9 wrestlers must exceed pounds.Change the criterion for failing to operate from "total weight exceeding 5000 pounds" to "mean weight for 9 people exceeding pounds".Let the mean weight in pounds: Then Given that pounds, pounds. The probability that the elevator will fail to operate is

Post a Comment