The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular construction supply company in a given week is a continuous random variable X with PDF as f(x)%= x²) 0 x <1 0. elsewhere Find the expected value and standard deviation of the amount of gravel sold in a week, a) Consider a normally distributed random variable X with a mean of 85 and standard deviation of 10. Find P(90

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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The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular
construction supply company in a given week is a continuous random variable X with PDF as
'3
- x²)
0sx <1
f(x) =2
%3D
elsewhere
Find the expected value and standard deviation of the amount of gravel sold in a week,
a) Consider a normally distributed random variable X with a mean of 85 and standard
deviation of 10. Find P(90 < X< 100)?
Transcribed Image Text:The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular construction supply company in a given week is a continuous random variable X with PDF as '3 - x²) 0sx <1 f(x) =2 %3D elsewhere Find the expected value and standard deviation of the amount of gravel sold in a week, a) Consider a normally distributed random variable X with a mean of 85 and standard deviation of 10. Find P(90 < X< 100)?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,