SOLUTION: A group of 150 randomly selected chief executive officers (CEO’s) were tested for personality type. The table below gives the results of this survey Type A Type B Men 78 42

Algebra ->  Probability-and-statistics -> SOLUTION: A group of 150 randomly selected chief executive officers (CEO’s) were tested for personality type. The table below gives the results of this survey Type A Type B Men 78 42      Log On


   



Question 1054178: A group of 150 randomly selected chief executive officers (CEO’s) were tested for personality type. The table below gives the results of this survey

Type A
Type B
Men
78
42
Women
19
11
If one CEO is selected at random from this group, find the probability that this CEO has type B personality and is a woman.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if you set up a table, you would get something like the following.



                       type A         type B        total


         men             78             42            120
         women           19             11             30

         total           97             53            150




if you look at this table, you will see that there are 11 women with type B personality out of a total of 150 CEO's.

the probability that, if you pick a CEO at random, you will get a woman with type B personality is therefore 11 / 150.