11. A continuous random variable X has a probability density function f, where [4(1 – x²) S(x) = elsewhere " The cumulative probability function F(x) = [0, 4(1 – z*), 1, 15 x > 0 a > 1 S (z – $), -4), 15 # >0 clsewhere 0, A(x – 4). [1, * < 0 0 < * <1 I>1 [0, D 15 * > 0 * >1 0,

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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11. A continuous random variable X has a probability
density function f, where
|4(1 – x²)
S(x) =
elsewhere
The cumulative probability function F(=) =
[0,
k(1 – z²),
| 1,
A
0 < # <1
x >1
| k(x – 4),
0 < * <1
clsewhere
0,
x < 0
0< =<1
0,
A(x – 4),
|1,
I>1
(0,
k(x – ).
[0,
D
0 < *<1
*>1
Transcribed Image Text:11. A continuous random variable X has a probability density function f, where |4(1 – x²) S(x) = elsewhere The cumulative probability function F(=) = [0, k(1 – z²), | 1, A 0 < # <1 x >1 | k(x – 4), 0 < * <1 clsewhere 0, x < 0 0< =<1 0, A(x – 4), |1, I>1 (0, k(x – ). [0, D 0 < *<1 *>1
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