Given the following PDF, calculate the following quantities: f(x)=90*(x^8)*(1-x) for 0.7) 9. 0.8507 P(.7 >

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Given the following PDF, calculate the following quantities:
f(x)=90*(x^8)*(1-x) for 0<x<1; 0 elsewhere.
Cumulative Distribution
1.
12x(1-x)^2
Function for X. (ie. F(x))
2.
24x(1-x)^2
What is the 75th
percentile of the
distribution?
3.
10(x^9)-9(x^10)
P(X<0.5)
4.
0.4320
5.
0.8182
P(0.25<X<0.5)
6.
0.9036
standard deviation of X
7.
0.0107
E[X]
8.
0.1113
P(X>.7)
9.
0.8507
P(.7<x<.9)
10. 0.5868
00
>
Transcribed Image Text:Given the following PDF, calculate the following quantities: f(x)=90*(x^8)*(1-x) for 0<x<1; 0 elsewhere. Cumulative Distribution 1. 12x(1-x)^2 Function for X. (ie. F(x)) 2. 24x(1-x)^2 What is the 75th percentile of the distribution? 3. 10(x^9)-9(x^10) P(X<0.5) 4. 0.4320 5. 0.8182 P(0.25<X<0.5) 6. 0.9036 standard deviation of X 7. 0.0107 E[X] 8. 0.1113 P(X>.7) 9. 0.8507 P(.7<x<.9) 10. 0.5868 00 >
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