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Probability Problem

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In a study designed to gauge married women's participation in the workplace today, the data provided in the attached file are obtained from a sample of 750 randomly selected married women. Consider a woman selected at random from this sample in aswering the following questions:

a)what is the probablity that this randomly selected woman has a job outside the home?

b)what is the probability that this randomly selected woman has at least one child?

c)what is the probability that this randomly selected woman has a full-time job and no more than one child?

d)what is the probability that this randomly selected woman has a part-time job or at least one child, but not both?

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Solution Summary

An excel spreadsheet containing data about women at work, percent having children, etc. You are to calculate the probabailities associated with various questions about the women (what is the probability that a randomly selected women will have XYZ and ZYX?).

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I took the data in excel attached and sorted the women by job status. I the made three new columns: one for each job status. I then sorted each column accordingly to number of children to make a manageable database.

From that, we can calculate:

a) 307 women have full time jobs, and 178 have part time jobs. 307 + 178=485 women have jobs. 485/750=64.7%

b) 98 women with full time jobs have zero children, 16 women with no job have zero children, ...

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