Compute the probability P(DTC) using P(DIC) - PCDnc) P (C) = and the table values P(DTC)= A D 0.10 E 0.30 Totals 0.40 (round to two decimet places) B C 0.10 0.25 0.20 0.05 0.30 0.30 Totals 0.45 0.55 1.00
Compute the probability P(DTC) using P(DIC) - PCDnc) P (C) = and the table values P(DTC)= A D 0.10 E 0.30 Totals 0.40 (round to two decimet places) B C 0.10 0.25 0.20 0.05 0.30 0.30 Totals 0.45 0.55 1.00
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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## Probability Calculation Using Table Values
In this section, we will compute the probability \( P(D|C) \) using the following formula and the given table values:
### Formula
\[ P(D|C) = \frac{P(D \cap C)}{P(C)} \]
### Table Values
| | A | B | C | Totals |
|---------|-----|-----|-----|--------|
| D | 0.10| 0.10| 0.25| 0.45 |
| E | 0.30| 0.20| 0.05| 0.55 |
|**Totals**|**0.40**|**0.30**|**0.30**|**1.00** |
### Calculation
\[ P(D|C) = \]
(round to two decimal places)
---
The table above presents joint probabilities of events D and E with events A, B, and C, as well as their marginal totals. To find \( P(D|C) \), use the joint probability of D and C \( P(D \cap C) \) and the marginal probability of C \( P(C) \) from the table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0cd4ae9-86e1-45b4-8824-a362b78dd084%2F7f103083-c038-4cf8-a3fe-7912ce943d9d%2Fj8c4ta_processed.png&w=3840&q=75)
Transcribed Image Text:---
## Probability Calculation Using Table Values
In this section, we will compute the probability \( P(D|C) \) using the following formula and the given table values:
### Formula
\[ P(D|C) = \frac{P(D \cap C)}{P(C)} \]
### Table Values
| | A | B | C | Totals |
|---------|-----|-----|-----|--------|
| D | 0.10| 0.10| 0.25| 0.45 |
| E | 0.30| 0.20| 0.05| 0.55 |
|**Totals**|**0.40**|**0.30**|**0.30**|**1.00** |
### Calculation
\[ P(D|C) = \]
(round to two decimal places)
---
The table above presents joint probabilities of events D and E with events A, B, and C, as well as their marginal totals. To find \( P(D|C) \), use the joint probability of D and C \( P(D \cap C) \) and the marginal probability of C \( P(C) \) from the table.
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