This Question: 8 pts 7 of 31 (0 complete) This Quiz: 250 The table below shows t

Question

This Question: 8 pts 7 of 31 (0 complete) This Quiz: 250 The table below shows the results of a survey in which 142 men and 146 women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies. Complete parts (a) through (d) Men Women Total 65 77 42 146 288 Less than one month's income One month's income or more Total 84149 62 139 (a) Find the probability that a randomly selected worker has one month's income or more set aside for emergencies The probability is(Round to the nearest thousandth as needed.) (b) Given that a randomly selected worker is a male, find the probability that the worker has less than one month's income. The probability is(Round to the nearest thousandth as needed) (c) Given that a randomly selected worker has one month's income or more, find the probability that the worker is a female. The probability is (Round to the nearest thousandth as needed) (d) Are the events "having less than one month's income saved" and "being male" independent or dependent? O Independent O dependent

Explanation / Answer

A) P(one months income or more) = 139/288 = 0.483

B) P(less one months income | male) = P(male and less than one months income) / P(male) = (65/288) / (142/288) = 65/142 = 0.458

C) P(female | one months income or more) = P(female and one months income or more) / P(one months income or more) = (62/288) / (139/288)

= 62/139

= 0.446

D) Option-B) dependent. Because P(less than one months income | male) is not equal to P(less than one months income)

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