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Calculus: An Applied Approach (Min...

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

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BuyFindarrow_forward

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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Chapter 9 Solutions

Calculus: An Applied Approach (MindTap Course List)
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Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 7-10, write the fraction as a...Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Random Selection In a class of 72 students, 44 are...Ch. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - 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