5.2 If the probability density of a random variable is given byorlw o (k + 2)x³0 < x < 1f(x) =%3D0.elsewherefind the valuek and the probability that the randomvariable takes on a value1and(a) greater than -; (b) between3.4-33

f(x)=(k+2)x3 0<x<10 o/wproperities∫f(x)dx=1

2 If the probability density of a random variable is given by (k + 2)x³ 0 < x < 1 f(x) = 0. elsewhere find the value k and the probability that the random variable takes on a value 3 (a) greater than -; (b) between 1 and 3° 2.

2 If the probability density of a random variable is given by (k + 2)x³ 0 < x < 1 f(x) = 0. elsewhere find the value k and the probability that the random variable takes on a value 3 (a) greater than -; (b) between 1 and 3° 2.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

5.2 If the probability density of a random variable is given by
orlw o (k + 2)x³
0 < x < 1
f(x) =
%3D
0.
elsewhere
find the valuek and the probability that the random
variable takes on a value
1
and
(a) greater than -; (b) between
3.
4
-
3
3

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