The table below shows the results of a survey in which 143 men and 145 women wor

Question

The table below shows the results of a survey in which 143 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) (a) Find the probability that a randomly selected worker has one month's income o 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? Independent Dependent

Explanation / Answer

a. Here we need to find P(One month’s income or more)

We will find using probability definition i.e. event/total n

So here it will be 138/288=0.4792

b. Here we will use conditional distribution

P(A/B)=P(A,B)/P(B)

So here it will be 77/143=0.5385

c. Here again we will use conditional distribution

P(female/one month’s or more)=61/138=0.4420

d. P(one month’s income saved)=150/288=0.5208

P (male) =143/288=0.4965

P(A)P(B)=0.2586

Now P(AnB)=66/288=0.2292

Hence it is not independent

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