Elevator ride: Engineers are designing a large elevator that will accommodate 41 people. The maximum weight the elevator canhold safely is 8200 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 192pounds and standard deviation 64 pounds, and the weights of adult U.S. women have mean 172 pounds and standard deviation73 pounds. Use the TI-84 Plus calculator.Part 1 of 3(a) If 41 people are on the elevator, and their total weight is 8200 pounds, what is their average weight?The average weight ispounds.Part 2 of 3(6) If a random sample of 41 adult men ride the elevatori what is the probability that the maximum safe weight will beexceeded? Round the answer to at least four decimal placesThe probability that the maximum safe weight will be exceeded is

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Description: Elevator ride: Engineers are designing a large elevator that will accommodate 41 people. The maximum weight the elevator canhold safely is 8200 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 192p

Normal distribution - The normal distribution is the continuous probability distribution which is…

Answered: (a) If 41 people are on the elevator,…

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(a) If 41 people are on the elevator, and their total weight is 8200 pounds, what is their average weight? The average weight is pounds.

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Elevator ride: Engineers are designing a large elevator that will accommodate 41 people. The maximum weight the elevator can
hold safely is 8200 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 192
pounds and standard deviation 64 pounds, and the weights of adult U.S. women have mean 172 pounds and standard deviation
73 pounds. Use the TI-84 Plus calculator.
Part 1 of 3
(a) If 41 people are on the elevator, and their total weight is 8200 pounds, what is their average weight?
The average weight is
pounds.
Part 2 of 3
(6) If a random sample of 41 adult men ride the elevatori what is the probability that the maximum safe weight will be
exceeded? Round the answer to at least four decimal places
The probability that the maximum safe weight will be exceeded is

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