x < 2 1 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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the one that have tittle with selected exercise is the question. another image is the answer. pls help me by explaining how to get answer for question 1b 

1. (a) k = 15
0.
x < 2
1
2<x <3
15
3sx<4
(b) F(x) =
4sx<5
15
5sx<6
1, x26
2/3
1,
Transcribed Image Text:1. (a) k = 15 0. x < 2 1 2<x <3 15 3sx<4 (b) F(x) = 4sx<5 15 5sx<6 1, x26 2/3 1,
SELECTED EXERCISE 7B
1.
A random variable X has a probability distribution function S(x) given by
X-1
S(x) =
x = 2,3,4,5,6 where k is a constant.
k
Find the value of k.
a)
Construct the cumulative distribution function of X.
b)
Find P( 3 SXS5)
c)
Find E(X), Var(X), Hence determine E(7-2X) and Var(7-2X)
d)
Transcribed Image Text:SELECTED EXERCISE 7B 1. A random variable X has a probability distribution function S(x) given by X-1 S(x) = x = 2,3,4,5,6 where k is a constant. k Find the value of k. a) Construct the cumulative distribution function of X. b) Find P( 3 SXS5) c) Find E(X), Var(X), Hence determine E(7-2X) and Var(7-2X) d)
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