A bank has the following data on the gender and marital status of 200 customers.
Male
Female
Single20
30
Married100
50
?
a.What is the probability of finding a single female customer?b.What is the probability of finding a married male customer?c.If a customer is female, what is the probability that she is single?d.What percentage of customers is male?e.If a customer is male, what is the probability that he is married?f.Are gender and marital status mutually exclusive?g.Is marital status independent of gender? Explain using probabilities.
What will be an ideal response?
?
| a. | 0.15 |
| b. | 0.5 |
| c. | 0.375 |
| d. | 60% |
| e. | 0.833 |
| f. | No, the intersection is not zero. |
| g. | They are not independent because P(male) = 0.6 P(male?single) = 0.4 |
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