Q. 73 Complete the PDF and answer the ... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 4: Q. 73 (page 288)

Complete the PDF and answer the questions.
a. Find the probability that $x = 2 .$
b. Find the expected value.

Short Answer

Expert verified

(a) $P (x = 2) = 0.1$ .

(b) The expected value is $1.6$ .

Step by step solution

Given information (part a)

Explanation

$X$	$P (x)$	$X . P (x)$
$0$	$0.3$	$0$
$1$	$0.2$	$0.2$
$2$	$0.1$	$0.2$
$3$	$0.4$	$1.2$
Total	$1$	$1.6$

$P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) = 1 0.3 + 0.2 + P (x = 2) + 0.4 = 1 P (x = 2) = 1 - 0.9 P (x = 2) = 0.1$

The sum of all probabilities for a random variable is $1$ . By this concept, we got the Probability of $x = 2$ .

Given information (part b)

Explanation (part b)

$X$	$P (X)$	$X . P (x)$
$0$	$0.3$	$0$
$1$	$0.2$	$0.2$
$2$	$0.1$	$0.2$
$3$	$0.4$	$1.2$
Total	$1$	$1.6$

$E (x) = \underset{}{鈭� x P (X = x)} E (x) = 0 脳 P (x = 0) + 1 脳 P (x = 1) + 2 脳 P (x = 2) + 3 脳 P (x = 3) E (x) = 0 脳 0.3 + 1 脳 0.2 + 2 脳 0.1 + 3 脳 0.4 E (x) = 1.6$

Thus, the expected value is $1.6$ .

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91影视

Complete the PDF and answer the questions.
a. Find the probability that $x = 2 .$
b. Find the expected value.

Short Answer

Step by step solution

Given information (part a)

Explanation

Given information (part b)

Explanation (part b)

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91影视

Complete the PDF and answer the questions.a. Find the probability thatx=2.b. Find the expected value.

Short Answer

Step by step solution

Given information (part a)

Explanation

Given information (part b)

Explanation (part b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Complete the PDF and answer the questions.
a. Find the probability that $x = 2 .$
b. Find the expected value.