Total a. P (A or B) = b. P (A or B) = c. P(AB) = Round to 3 decimal places d. P (AB) C 0.599 Round to 3 decimal places e. Are the events A and B independent? (click f. Are the events A and B mutually exclusive? (click SAMSUNG SUBMIT QUE 1 (click to select) Yes No SAVE PROGRESS SUBM
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The given table is as follows :
| B | Bc | Total | |
| A | 0.454 | 0.225 | |
| Ac | |||
| Total | 0.599 |
Let's find the row total for the row A.
⇒0.454 + 0.225 = 0.679
We get,
| B | Bc | Total | |
| A | 0.454 | 0.225 | 0.679 |
| AC | |||
| Total | 0.599 | 1 |
Similarly, find the column total for column B. Let, MV = missing value.
⇒0.454 + MV = 0.599
⇒ MV = 0.599 –0.454 ⇒ MV = 0.145
We get,
| B | Bc | Total | |
| A | 0.454 | 0.225 | 0.679 |
| Ac | 0.145 | ||
| Total | 0.599 | 1 |
Column total for column Bcis given by,
0.599 + MV = 1
MV = 1–0.599⇒ MV = 0.401
The new table is as follows,
| B | Bc | Total | |
| A | 0.454 | 0.225 | 0.679 |
| Ac | 0.145 | ||
| Total | 0.599 | 0.401 | 1 |
Similarly, missing value (MV) in column Bc is calculated as,
0.225 + MV = 0.401
MV = 0.401 – 0.225
⇒ MV = 0.176
New table is as follows :
| B | Bc | Total | |
| A | 0.454 | 0.225 | 0.679 |
| Ac | 0.145 | 0.176 | |
| Total | 0.599 | 0.401 | 1 |
Lastly, the row total for row Ac can be calculated as follows,
0.145 + 0.176 = 0.321
Therefore, the complete table is given by :
| B | Bc | Total | |
| A | 0.454 | 0.225 | 0.679 |
| Ac | 0.145 | 0.176 | 0.321 |
| Total | 0.599 | 0.401 | 1 |
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