of The table below shows the results of a survey in which 142 men and 144 women
ID: 3171154 • Letter: O
Question
of The table below shows the results of a survey in which 142 men and 144 women workers ages 25 to 64 were asked if they have at least one month's income s Men Women Total Less than one months income 65 83 148 One months income or more 61 138 Total 142 144 286 (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) e) Given that a randomly selected worker has one month's income or more, find the probability that the worker is a female The probability ls0 (Round to the nearest thousandth as needed) (d Are the events having less than one months income saved and being male independent or dependent? Independent O Dependent Click to select your answer(s)Explanation / Answer
a) P(one month's income or more ) = 138/286 = 0.483
b)P(less than one month's income | Men) = 65/142 = 0.458
c)P( female | one month's income or more) = 61/138 = 0.442
d)P( less than one month's income) = 148/286
P(being male) = 142/286 = 0.517
P(being male and having less than one month's income) = 77/142 which is not equal to P( less than one month's income) *P(being male)
Which implies they are dependent events
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