The capacity of an elevator is 88 people or 12401240 pounds. The capacity will b

ID: 3219217 • Letter: T

Question

The capacity of an elevator is

people or

12401240

pounds. The capacity will be exceeded if

people have weights with a mean greater than

1240 divided by 8 equals 155 pounds.1240/8=155 pounds.

Suppose the people have weights that are normally distributed with a mean of

162 lb162 lb

and a standard deviation of

35 lb35 lb.

a. Find the probability that if a person is randomly selected, his weight will be greater than

155155

pounds.The probability is approximately

nothing .

(Round to four decimal places as needed.)

Here it is given that for normal distribution mean=162 and sd=35

We need to find probability of a random selected person is greater than 155

i.e. P(x>155), as this is normally distributed we convert x to z

Where z=x-mean/sd=155-162/35=-0.2

So P(z>-0.2)=0.5-P(0<z<-0.2)=0.5+0.0793=0.5793

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