A recent study of 200 nurses found that of 125 female nurses 56 held bachelor's degrees; of the males 34 held bachelor's. If a nurse is selected at random find the probability that the nurse is, a. Male
b. Female with a bachelor's
c. Male without a bachelor's
d. Male given he/she has a bachelor's
e. Has a bachelor's given the nurse is female

Question

02-02-2017
Mathematics

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A recent study of 200 nurses found that of 125 female nurses 56 held bachelor's degrees; of the males 34 held bachelor's. If a nurse is selected at random find the probability that the nurse is, a. Male
b. Female with a bachelor's
c. Male without a bachelor's
d. Male given he/she has a bachelor's
e. Has a bachelor's given the nurse is female

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altavistard altavistard · Answer 1 · 2017-02-02T02:27:20+01:00

Need to develop a contingency table (often used for calculating probabilities when the focus is on conditional probability).

The nurse is either M or F.
The nurse either has a BS degree or does not.

Since there are 125 female nurses, and 56 of those held bachelors degrees, that leaves (125-56), or 69, who did not hold bachelors degrees. Complete this table. I found that there are 75 male nurses and 125 female nurses. Note that 75 and 125 add up to 200 (which is the given number of nurses).