A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches, and standard deviation of 1.8 inches. If one item is chosen at random, what is the probability that it is less than 11.1 inches long?

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
Section13.3: Special Probability Density Functions
Problem 53E
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A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches, and
standard deviation of 1.8 inches.
If one item is chosen at random, what is the probability that it is less than 11.1 inches long?
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Transcribed Image Text:A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches, and standard deviation of 1.8 inches. If one item is chosen at random, what is the probability that it is less than 11.1 inches long? Question Help: D Video Submit Question
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The
mean price paid is $2000 and the standard deviation is $105.
1685
1790
1895
2000
2105
2210
2315
Distribution of Prices
What is the approximate percentage of buyers who paid less than $1685?
What is the approximate percentage of buyers who paid between $2000 and $2105?
What is the approximate percentage of buyers who paid between $1895 and $2105?
What is the approximate percentage of buyers who paid less than $1790?
What is the approximate percentage of buyers who paid between $2000 and $2315?
What is the approximate percentage of buyers who paid between $2000 and $2210?
Transcribed Image Text:The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $105. 1685 1790 1895 2000 2105 2210 2315 Distribution of Prices What is the approximate percentage of buyers who paid less than $1685? What is the approximate percentage of buyers who paid between $2000 and $2105? What is the approximate percentage of buyers who paid between $1895 and $2105? What is the approximate percentage of buyers who paid less than $1790? What is the approximate percentage of buyers who paid between $2000 and $2315? What is the approximate percentage of buyers who paid between $2000 and $2210?
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