9. Suppose the distance X between a point target and a shot aimed at a point in a coin operated target game i continuous random variable with probability density function a. b. C. d. f(x) = £-/a- 0 (1-x²) 1≤x≤1 otherwise Sketch the graph of f(x) compute P(X>0) compute p(-1/214)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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9. Suppose the distance X between a point target and a shot aimed at a point in a coin operated target game is
continuous random variable with probability density function
a.
b.
C.
d.
f(x) =
(1 − x²)
0
-1≤x≤1
otherwise
Sketch the graph of f(x)
compute P(X>0)
compute p(-1/2 <x< ¹1/₂2)
compute P(x < -¹% or X > ¹14)
Transcribed Image Text:9. Suppose the distance X between a point target and a shot aimed at a point in a coin operated target game is continuous random variable with probability density function a. b. C. d. f(x) = (1 − x²) 0 -1≤x≤1 otherwise Sketch the graph of f(x) compute P(X>0) compute p(-1/2 <x< ¹1/₂2) compute P(x < -¹% or X > ¹14)
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