Read each problem carefully. Show your complete solution and present an illustration for each problem. 1. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6 years. Assumed the distribution is normally distributed. a. Find the number of volunteers with ages less than 20 years. b. Find the number of volunteers with ages greater than 22 years. c. Find the actual age of Roland if 85.31% of the volunteers are younger than him.

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Read each problem carefully. Show your complete solution and present
an illustration for each problem.
1. A group of 500 volunteers recorded an average age of 21.5 years and
standard deviation of 9.6 years. Assumed the distribution is normally
distributed
.
a. Find the number of volunteers with ages less than 20 years.
b. Find the number of volunteers with ages greater than 22 years.
c. Find the actual age of Roland if 85.31% of the volunteers are younger
than him.
d. If 2.5% of the volunteers are older than Shirley how old is she?
e. Between what ages is the middle 40% of the volunteers?
2. The mean weight of 1000 students at a certain high school is 140
pounds and the variance is 100 pounds. Assuming that the weights
are normally distributed, how many students weigh:
a. Between 120 and 145 pounds?
b. More than 150 pounds?

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