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The table below shows the results of a survey in which 141 men and 145 women wor

ID: 3040096 • Letter: T

Question

The table below shows the results of a survey in which 141 men and 145 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 e Less than one month's income One month's income or more Total 84 61 141 145 286 65 76 149 137 (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 Click to select your answer(s).

Explanation / Answer

a) probability =137/286=0.479

b) P(<one month income|male) =65/141=0.461

c) P(female|>one month income) =61/137=0.445

d) Dependent. as P(male)*P(saving less than one month income) is not equal to P(male and saving less than one month income)

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