Consider the following table:XPr Product.32а.4.427(a) Find the values of a, b, and c.(b) Find E[X].

Consider the given table, X Pr Product=X×Pr 0 .3 0 2 a .4 5 .4 2 7 b c

Answered: х Pr Product .3 2 a .4 .4 2 7 h

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Consider the following table:
X
Pr Product
.3
2
а
.4
.4
2
7
(a) Find the values of a, b, and c.
(b) Find E[X].

Expert Solution

Step 1

Consider the given table,

$X$	$Pr$	Product= $X \times Pr$
0	.3	0
2	a	.4
5	.4	2
7	b	c

Step 2

From the table,

$2 \times a = . 4 \Rightarrow a = \frac{. 4}{2} = . 2$

$\sum_{}^{} Pr=1$

$. 3 + a + . 4 + b = 1$

$\Rightarrow b = 1 - (. 3 + . 2 + . 4) = . 1$

$c = 7 \times b = . 7$

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