If we divide every number by 400 then we will get the joint probability table,
a.
Income <50000 | Income > 50000 | Marginal Prob | |
Accept Offer | 40/400 | 30/400 | 70/400 |
Reject Offer | 210/400 | 120/400 | 330/400 |
Marginal Prob | 250/400 | 150/400 |
b.
There are total 30 + 120 (column 2) households having income greater than 50000 dollars, out of them 120 reject the offer,
Probability = 120/150 = 0.8
c.
There are total 40 + 210 (column 1) households having income less than 50000 dollars, out of them 40 accepts the offer,
Probability = 40/250 = 0.16
d.
There are toal 40 + 30 (row 1) households which accept the offer,
Out of them, 30 has income more than 50000
Thus, probability = 30/70 = 0.43
5. Through a telephone survey, a low-interest bank credit card is offered to 100 as follows....
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