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 (1 – -x?) 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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a) 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
- x²)
0 <x <1
(1 -
f(x)
elsewhere
Find the expected value and standard deviation of the amount of gravel sold in a week.
b) 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:a) 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 - x²) 0 <x <1 (1 - f(x) elsewhere Find the expected value and standard deviation of the amount of gravel sold in a week. b) 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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