Find P(CNE) directly from the table. B C Totals 0.08 0.04 0.08 0.20 E 0.42 0.26 0.12 0.80 Totals 0.50 0.30 0.20 1.00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The table provided is used to calculate the probability of joint events. It shows probabilities for combinations of events, organized as follows:

**Table Columns and Rows:**

- **Columns:** Represent categories A, B, and C, with a Totals column for each.
- **Rows:** Represent categories D and E, with a Totals row for each.

**Table Values:**

- The probability values for each combination are as follows:
  - P(D∩A) = 0.08
  - P(D∩B) = 0.04
  - P(D∩C) = 0.08
  - Total for D = 0.20
  - P(E∩A) = 0.42
  - P(E∩B) = 0.26
  - P(E∩C) = 0.12
  - Total for E = 0.80

- **Column Totals:**
  - Total for A = 0.50
  - Total for B = 0.30
  - Total for C = 0.20

- **Overall Total:** 1.00

The field below the table asks for the probability P(C∩E), which is found directly in the table at the intersection of row E and column C.

**Answer:**
P(C∩E) = 0.12

This text and table should help in understanding joint probability and how to read such tables.
Transcribed Image Text:The table provided is used to calculate the probability of joint events. It shows probabilities for combinations of events, organized as follows: **Table Columns and Rows:** - **Columns:** Represent categories A, B, and C, with a Totals column for each. - **Rows:** Represent categories D and E, with a Totals row for each. **Table Values:** - The probability values for each combination are as follows: - P(D∩A) = 0.08 - P(D∩B) = 0.04 - P(D∩C) = 0.08 - Total for D = 0.20 - P(E∩A) = 0.42 - P(E∩B) = 0.26 - P(E∩C) = 0.12 - Total for E = 0.80 - **Column Totals:** - Total for A = 0.50 - Total for B = 0.30 - Total for C = 0.20 - **Overall Total:** 1.00 The field below the table asks for the probability P(C∩E), which is found directly in the table at the intersection of row E and column C. **Answer:** P(C∩E) = 0.12 This text and table should help in understanding joint probability and how to read such tables.
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