Each customer of a newspaper can sign up for weekday delivery and/or weekend delivery. The customer's file records whether he or she receives each delivery as Y for yes and N for no. The probabilities of the customer receiving the newspaper are shown below. Complete parts a through d. Outcome (Weekday, Weekend) YN NY NN 0.12 0.04 0.52 Probability a. Display the outcomes in a contingency table, using the rows as the weekend event and the columns as the weekday event. Weekday Weekend Yes No 0.12 0.52 (Type integers or decimals. Do not round.) b. Let W denote the event that the customer bought a newspaper during the week and S be the event that he or she got it on the weekend (S for Saturday/Sunday). Find P(W) and P(S). P(W) = 0.44 (Type an integer or a decimal. Do not round.) YY 0.32 Yes 0.32 P(W and S) = No 0:04 P(S) = 0.36 (Type an integer or a decimal. Do not round.) c. Explain what the event "W and S" means and find P(W and S). The event means the customer got a newspaper on both weekdays and the weekend. (Type an integer or a decimal. Do not round.)
Each customer of a newspaper can sign up for weekday delivery and/or weekend delivery. The customer's file records whether he or she receives each delivery as Y for yes and N for no. The probabilities of the customer receiving the newspaper are shown below. Complete parts a through d. Outcome (Weekday, Weekend) YN NY NN 0.12 0.04 0.52 Probability a. Display the outcomes in a contingency table, using the rows as the weekend event and the columns as the weekday event. Weekday Weekend Yes No 0.12 0.52 (Type integers or decimals. Do not round.) b. Let W denote the event that the customer bought a newspaper during the week and S be the event that he or she got it on the weekend (S for Saturday/Sunday). Find P(W) and P(S). P(W) = 0.44 (Type an integer or a decimal. Do not round.) YY 0.32 Yes 0.32 P(W and S) = No 0:04 P(S) = 0.36 (Type an integer or a decimal. Do not round.) c. Explain what the event "W and S" means and find P(W and S). The event means the customer got a newspaper on both weekdays and the weekend. (Type an integer or a decimal. Do not round.)
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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6.

Transcribed Image Text:**Title: Understanding Newspaper Delivery Probability**
Each customer of a newspaper can sign up for weekday delivery and/or weekend delivery. The customer's file records whether they receive each delivery as Y for yes and N for no. The probabilities of the customer receiving the newspaper are given as follows:
| Outcome (Weekday, Weekend) | YY | YN | NY | NN |
|----------------------------|----|----|----|----|
| Probability | 0.32 | 0.12 | 0.04 | 0.52 |
**a. Contingency Table Display:**
The outcomes can be displayed in a contingency table using the rows as the weekend event and the columns as the weekday event.
| Weekend \ Weekday | Yes | No |
|-------------------|------|------|
| Yes | 0.32 | 0.04 |
| No | 0.12 | 0.52 |
**b. Events Explanation:**
Let \( W \) denote the event that the customer bought a newspaper during the week and \( S \) be the event that they got it on the weekend (S for Saturday/Sunday).
- \( P(W) = 0.44 \) (Probability of receiving during weekdays)
- \( P(S) = 0.36 \) (Probability of receiving during the weekend)
**c. Combined Events:**
The event "W and S" means the customer got a newspaper on both weekdays and the weekend.
- \( P(W \text{ and } S) = 0.32 \) (Probability of receiving on both weekdays and the weekend)
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