0. x < 2 1 25x <3 15 3

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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the one that have selected exercise 7b is the question. The other picture is the answer for question 1a and 1b. Please explain to me how to get the answer for 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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