Graph the pdf f(x) and cdf F(x) for #22 # 22The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv Xwith pdf1< x < 2f(x) =x2.otherwisea. Compute the cdf of X.b. Obtain an expression for the (100p)th percentile. What is the value of û?c. Compute E (X)and V(X).d. If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due induring the week, how much of the 1.5 thousand gallons is expected to be left at the end of theweek? (Hint: Let h(x) = amount left when demand = x,]I

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Description: Graph the pdf f(x) and cdf F(x) for #22 # 22The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv Xwith pdf1< x < 2f(x) =x2.otherwisea. Compute the cdf of X.b. Obtain an expression for the (100p)th percentile. Wh

The probability distribution function is f(x)=21-1x2; for 1≤x≤2 and 0 otherwise. So in the graph of…

Answered: # 22 The weekly demand for propane gas…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Graph the pdf f(x) and cdf F(x) for #22

# 22
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X
with pdf
1< x < 2
f(x) =
x2.
otherwise
a. Compute the cdf of X.
b. Obtain an expression for the (100p)th percentile. What is the value of û?
c. Compute E (X)and V(X).
d. If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in
during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the
week? (Hint: Let h(x) = amount left when demand = x,]
I

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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