00:02
Hello students, let us do this question.
00:04
From the given frequency table, we have to find the following probability.
00:08
First one is probability that randomly selected worker contribute to the retirement saving plan at work given that the worker is male.
00:17
So this is probability that worker contribute to the retirement saving plan, which is c represented as c.
00:26
And given that the worker is male.
00:28
So m is for male.
00:29
Using the formula of conditional probability probability of a given b is probability of a intersection b upon probability of b.
00:42
We can rewrite this probability as probability that worker contributes to the saving plan c intersection worker is male upon probability that the worker is male.
00:55
From the given table we have to look for the intersection of contribute and male.
01:00
So this is 117 and probability will be divided by grand total which is 500.
01:07
And the probability of male is sum of male which is 250 probability will be divided by 500...