Create the Venn diagram:

A   - you work for an insurance company.  80% of your company's staff is sales force and 70% of your company's sales is force is male. in your company as whole , 60 % of the staff is male .

1-Create the Venn diagram for this data (unite draw two circles, on represent male and the other represent on the sale force.

2- what portion of your company's staff is male and on the sales force?

3- What portion of your company's staff is female and on the sales forces?

B About 55% of emergency room visits are unnecessary, assuming each emergency room visit is independent.  (Hint: first define the random variable x then write the objective of each question in terms of x.

1 if you randomly select 15 patients from those visiting the emergency department what is the chance that all of them need tobe in the emergence.

2 What is expected number from the 15 randomly selected patients, who do not need to be in the emergency room and what is the standard deviation of the number?

3 Suppose the distribution of unnecessary emergency room visits can be approximated by normal distribution what is the probability that at least two of them need be in the emergency room?