SOLUTION: Five hundred employees were selected from a city’s large private companies and asked whether or not they have any retirement benefits provided by their companies. Based on this

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Question 1164441: Five hundred employees were selected from a city’s large private companies and asked whether or
not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared.
men-225 have retirement benefits and 75 not have the benefit.
female-150 have retirement benefits and 50 not have the benefit.
question:
a. Suppose one employee is selected at random from these 500 employees. Find the following probabilities.
i. Probability of the intersection of events “woman” and “yes”
ii. Probability of the intersection of events “no” and “man”
b. Mention what other joint probabilities you can calculate for this table and then find them. You
may draw a tree diagram to find these probabilities.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!

-------B+----------B- ---Total
M----225---------75------300
W----150---------50------200
Total--375-------125------500
i. 150/500 or 0.3
ii. 75/500 or 0.15
there are joint probabilities of men and benefits and of women and no benefits