3. Weights of 1-year old boys have a normal distribution; therefore, a normal curve is a good mathematical model for the probability distribution. The mean is 22.8 lbs and the standard deviation is 2.2 lbs. a. Label the horizontal axis of the normal curve according to the 68/95/99.7 rule. 16.2 18.4 20.6 22.8 25 27.2 29.4 Weight (lbs) 68% is 20.6 to 25 95% is 18.4 to 27.2 99.7% is 16.2 to 29.4 b. What is the probability that a randomly selected 1-year-old boy weighs between 20.6 lbs and 25 lbs? Write this event in probability notation and use stat crunch to find the associated probability.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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3. Weights of 1-year old boys have a normal distribution; therefore, a normal curve is a good
mathematical model for the probability distribution. The mean is 22.8 lbs and the standard
deviation is 2.2 lbs.
a. Label the horizontal axis of the normal curve according to the 68/95/99.7 rule.
16.2
18.4
20.6
22.8
25
27.2
29.4
Weight (lbs)
68% is 20.6 to 25
95% is 18.4 to 27.2
99.7% is 16.2 to 29.4
b. What is the probability that a randomly selected 1-year-old boy weighs between 20.6 lbs
and 25 lbs? Write this event in probability notation and use stat crunch to find the associated
probability.
Transcribed Image Text:3. Weights of 1-year old boys have a normal distribution; therefore, a normal curve is a good mathematical model for the probability distribution. The mean is 22.8 lbs and the standard deviation is 2.2 lbs. a. Label the horizontal axis of the normal curve according to the 68/95/99.7 rule. 16.2 18.4 20.6 22.8 25 27.2 29.4 Weight (lbs) 68% is 20.6 to 25 95% is 18.4 to 27.2 99.7% is 16.2 to 29.4 b. What is the probability that a randomly selected 1-year-old boy weighs between 20.6 lbs and 25 lbs? Write this event in probability notation and use stat crunch to find the associated probability.
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