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The age distribution for senators in the 104th under 40 40-49 50-59 60-69 70 and over 14 41 27 17 age no. of senators 1 Consider the following four events: A = event the senator is under 40 Was ds 10110WS.

The age distribution for senators in the 104th under 40 40-49 50-59 60-69 70 and over 14 41 27 17 age no. of senators 1 Consider the following four events: A = event the senator is under 40 Was ds 10110WS.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Age Distribution for Senators in the 104th U.S. Congress The age distribution for senators in the 104th U.S. Congress is presented in the table below: | Age Range | Under 40 | 40-49 | 50-59 | 60-69 | 70 and over | |-----------------|----------|-------|-------|-------|-------------| | No. of Senators | 1 | 14 | 41 | 27 | 17 | #### Consider the following four events: - **A**: The event that the senator is under 40 - **B**: The event that the senator is in his or her 50s - **C**: The event that the senator is 40 or older - **D**: The event that the senator is under 60 #### Problem: - **Find the probability of each given event below:** To calculate these probabilities, you would sum the appropriate values from the table and divide by the total number of senators. Let's denote the total number of senators as \( N \). **Steps to solve:** 1. Calculate the total number of senators: \( N = 1 + 14 + 41 + 27 + 17 \). 2. Sum the number of senators corresponding to each event. 3. Divide the sum by \( N \) to get the probability. This setup will help you determine the likelihood of each event occurring based on the age distribution of the senators.
Transcribed Image Text:### Age Distribution for Senators in the 104th U.S. Congress The age distribution for senators in the 104th U.S. Congress is presented in the table below: | Age Range | Under 40 | 40-49 | 50-59 | 60-69 | 70 and over | |-----------------|----------|-------|-------|-------|-------------| | No. of Senators | 1 | 14 | 41 | 27 | 17 | #### Consider the following four events: - **A**: The event that the senator is under 40 - **B**: The event that the senator is in his or her 50s - **C**: The event that the senator is 40 or older - **D**: The event that the senator is under 60 #### Problem: - **Find the probability of each given event below:** To calculate these probabilities, you would sum the appropriate values from the table and divide by the total number of senators. Let's denote the total number of senators as \( N \). **Steps to solve:** 1. Calculate the total number of senators: \( N = 1 + 14 + 41 + 27 + 17 \). 2. Sum the number of senators corresponding to each event. 3. Divide the sum by \( N \) to get the probability. This setup will help you determine the likelihood of each event occurring based on the age distribution of the senators.
**Probabilities of Events Involving a Senator's Age** Consider the following four events: - **A** = event the senator is under 40 - **B** = event the senator is in his or her 50s - **C** = event the senator is 40 or older - **D** = event the senator is under 60 Find the probability of each event given below: (a) **not B** = ⬜ (b) **A or D** = ⬜ (c) **A or C** = ⬜ (d) **A** = ⬜ (e) **A and D** = ⬜ To answer each of these probability questions, use the definitions of events provided and consider any overlapping circumstances where necessary.
Transcribed Image Text:**Probabilities of Events Involving a Senator's Age** Consider the following four events: - **A** = event the senator is under 40 - **B** = event the senator is in his or her 50s - **C** = event the senator is 40 or older - **D** = event the senator is under 60 Find the probability of each event given below: (a) **not B** = ⬜ (b) **A or D** = ⬜ (c) **A or C** = ⬜ (d) **A** = ⬜ (e) **A and D** = ⬜ To answer each of these probability questions, use the definitions of events provided and consider any overlapping circumstances where necessary.
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