A national survey was undertaken to determine whether a realtionship exists betw

Question

A national survey was undertaken to determine whether a realtionship exists between gender and the habit of smoking. A major newspaper reported the survey results as follows. 55% of thoses surveyed were male, while 60% of those surveyed smoked. 5% of the survey respondents were female who did not smoke.

if one of the persons surveyed is selected at random,answer each of the questions given below.

Let f= the person selected is female, and S = the person selected smokes.

1a. Are the events F and S mutually exclusive?

1b. What is the probability that the person selected is female or smokes?

1c.Given that the person selected is female, what is the probability that she also smokes?

1d. What is the probability that the person selected does not smoke?

Explanation / Answer

%age of thoses surveyed were male, M = 55

%age of those surveyed smoked, S = 60

%age of the survey respondents were female who did not smoke = 5

if one of the persons surveyed is selected at random,answer each of the questions given below.

Let f= the person selected is female, and S = the person selected smokes.

1a. the events F and S are not mutually exclusive as there are some females who smoke.

1b. the probability that the person selected is female or smokes = 0.60 + 0.05 = 0.65

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