a) The Project Manager found that distribution of the amount of gravel (in tons) sold by aparticular construction supply company in a given week is a continuous random variable X withPDF asf(x) =x²)elsewhereFind 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 standarddeviation of 10. Find P(90 s X < 100)?

(As per the bartleby guidelines, for more than one question asked, only first one is to be solved.…

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) (1-x) 0

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) (1-x) 0

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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
f(x) =
x²)
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 s X < 100)?

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