The table below shows the results of a survey in which 142 men and through (d).
ID: 3202992 • Letter: T
Question
The table below shows the results of a survey in which 142 men and through (d). 146 women w Men Women Total Less than one month's income 65 84 149 One month's income or more 77 62 139 Total 142 146 288 (a) Find the probability that a randomly selected worker has one month's income or mol The probability is L. (Round to the nearest thousandth as needed.) (b) Given that a randomly selected worker is a male, find the probability that the worker h 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 probal 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" independe Click to select your answer(s).Explanation / Answer
a) P(one month's income or more) = 139 / 288
= 0.483
b) P(less than one month's income | male) = P(less than one month's income and male) / P(men)
= (65/288) / (142/288)
= 65/142
= 0.458
c) P(female | one month's income or more) = P(female and one month's income or more) / P(one month's income or more)
= (62/288) / (139/288)
= 62/139
= 0.446
d) P(less than one month's income and male) = 65 / 288 = 0.226
P(less than one month's income) * P(male) = 149/288 * 142/288 = 0.255
Since , P(less than one month's income and male) is not equal to P(less than one month's income) * P(male) , both the events are not independent.
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