Suppose the monthly charges for cell phone plans are normally distributed with mean μ=$62 and standard deviation σ=​$18. ​(a) Draw a normal curve with the parameters labeled. ​(b) Shade the region that represents the proportion of plans that charge less than ​$44. ​(c) Suppose the area under the normal curve to the left of X=​$44 is 0.1587. Provide an interpretation of this result.

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 7E
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Suppose the monthly charges for cell phone plans are normally distributed with mean
μ=$62
and standard deviation
σ=​$18.
​(a) Draw a normal curve with the parameters labeled.
​(b) Shade the region that represents the proportion of plans that charge
less
than
​$44.
​(c) Suppose the area under the normal curve to the
left
of
X=​$44
is 0.1587. Provide an interpretation of this result.
 
 
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