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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 2E
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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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