The cumulative distribution function of the continuous random variable X is given by: F(x)={0 if  x≤0 2/5(3x−x2/2) if   0 1/4) P(0.73 ≤ X ≤ 0.78)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter5: Linear Inequalities
Section5.3: Solving Multi-step Inequalities
Problem 62PFA
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The cumulative distribution function of the continuous random variable X is given by:

F(x)={0 if  x≤0

2/5(3x−x2/2) if   0<x<1

1   if  1≤x

 

Calculate:

  • P(X ≤ 2/7)

  • P(X > 1/4)

  • P(0.73 ≤ X ≤ 0.78)

{ic
x <0
F (x) =
(3x
0 < x < 1
1
1< x
|
Transcribed Image Text:{ic x <0 F (x) = (3x 0 < x < 1 1 1< x |
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