below ed that graduates of a statístics program last categorized according to ge

Question

below ed that graduates of a statístics program last categorized according to gender ia For numbers 17 to 20, refer to the problem bei Suppose that graduates of a statistics ing to gender and employment status as follows, Employed Unemployed are 14 Male 46 Female 17. What is the probability that a graduate elected at randonm employed given that the graduate is female? 6 C. 35 d. 18. What is proba the probability that a graduate selected at random is employed? b. d. 19, What is the probability that a graduate selected at random is male and employed? 10 b. 30 d. 35 20. What is the probability that a graduate selected at random is male or employed? 7 10 b. 30 d. 35

Explanation / Answer

Following table shows the row total and colun total:

17:

Out of 50 female, 46 are employed so

P(employed | female) = 46 / 50 = 23 /25

Correct option is d.

18:

P(employed) = 60 / 70 =6 / 7

Correct option is d.

19:

P(male and employed) = 14 / 70 = 1 / 5

Correct option is a.

20:

P(male or employed) = P(male) + P(employed) - P(male and employed) = (20/70) + (60/70) - (14/70) = 66 /70 = 33 /35

Correct option is d.

Employed Unemployed Total Male 14 6 20 Female 46 4 50 Total 60 10 70

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