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1. The table below shows the results of a survey in which 142 men and 145 women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies.
men women total
65 84 149 less than one month's income
77 61 138 one months income or more
total 142 145 287
a) Find the probability that a randomly selected worker has one month's income or more set aside for emergencies.
b) Given that a randomly selected worker is female, find the probability that the worker has less than one month's income.
c) Given that a randomly selected worker has one month's income or more, find the probability that the worker is female.
d) Find the probability that a randomly selected worker has less than one month's income saved OR the worker is male.
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