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

Question

The table below shows the results of a survey in which 141 men and 145 women workers ages 25-64 were asked if they have at least 1 months income set aside for emergencies. Male. Female. Total

Less than a month income 65 83 148 One month income 76 62 138 Total 141 145 286
A) Find the probability that a randomly selected worker had one months income. (Nearest thousand)
B) Given that a randomly selected worker is male. Find probability that a worker has less than one months income. (Nearest thousand)
C) If they have one months income, what is probability they are female? (Nearest thousand)
D) Are events having less than 1 months income saved and “ being male” dependent or independent?
The table below shows the results of a survey in which 141 men and 145 women workers ages 25-64 were asked if they have at least 1 months income set aside for emergencies. Male. Female. Total

Less than a month income 65 83 148 One month income 76 62 138 Total 141 145 286
A) Find the probability that a randomly selected worker had one months income. (Nearest thousand)
B) Given that a randomly selected worker is male. Find probability that a worker has less than one months income. (Nearest thousand)
C) If they have one months income, what is probability they are female? (Nearest thousand)
D) Are events having less than 1 months income saved and “ being male” dependent or independent?
Male. Female. Total

Less than a month income 65 83 148
Less than a month income 65 83 148 One month income 76 62 138 Total 141 145 286
A) Find the probability that a randomly selected worker had one months income. (Nearest thousand)
B) Given that a randomly selected worker is male. Find probability that a worker has less than one months income. (Nearest thousand)
C) If they have one months income, what is probability they are female? (Nearest thousand)
D) Are events having less than 1 months income saved and “ being male” dependent or independent?

Explanation / Answer

A) The probability that a randomly selected worker had one months income = 138 / 286 = 0.483.

B) Probability that a worker has less than one months income given that the worker is male

= 65 / 141 = 0.461.

C) Probability that the worker is female given that they have one months income

= 62 / 138 = 0.449.

D) Probability that a worker has less than one months income = 148 / 286 = 0.517.

Probability that a worker has less than one months income given that the worker is male

= 65 / 141 = 0.461.

Since the two probabilities are not equal, the events are dependent.

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