   # Using Probability Distributions In Exercises 11 and 12, sketch a graph of the probability distribution and find each probability. x -2 -1 1 3 5 P ( x ) 1 11 2 11 4 11 3 11 1 11 (a) P ( − 1 ≤ x ≤ 3 ) (b) P ( x &lt; 1 ) ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
Chapter 9, Problem 12RE
Textbook Problem
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## Using Probability Distributions In Exercises 11 and 12, sketch a graph of the probability distribution and find each probability. x -2 -1 1 3 5 P ( x ) 1 11 2 11 4 11 3 11 1 11 (a) P ( − 1 ≤ x ≤ 3 ) (b) P ( x < 1 )

(a)

To determine

To graph: The probability distribution and find the probability P(1x3):

 x −2 −1 1 3 5 P(x) 111 211 411 311 111

### Explanation of Solution

Given Information:

The probability distribution:

 x −2 −1 1 3 5 P(x) 111 211 411 311 111

Graph:

Consider the provided probability distribution.

 x −2 −1 1 3 5 P(x) 111 211 411 311 111

Use the ti-83 graphing calculator to construct the graph to represent this probability distribution.

Step 1: Open the ti-83 graphing calculator.

Step 2: Press [STAT] [ENTER] key and enter the data in L1 and L2.

Step 3: Press the [2ND] and select “Y=”. Use the arrow keys and select the Plot 1:ON

Type: Select Bar Graph

Step 4: Press the [GRAPH] key.

The bar graph of the probability distribution is obtained as,

For any random variable X, and specific values a and b, the probability P(axb) is defined as,

P(axb)=Sum of all probabilities between values a and b

Consider the provided probability distribution

(a)

To determine

To graph: The probability distribution and find the probability P(x<1) using the data given below,.

 x −2 −1 1 3 5 P(x) 111 211 411 311 111

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