Question

According to recent figures from the National of Educational Statistics (US), 17.5% of all bachelor’s degrees are in business. 27% of bachelor’s degrees in business are obtained by women and 48.75% of other degrees are obtained by men.

1. Complete the table.

b.What is the probability that a randomly selected recent bachelor’s degree graduate will be a man?

c.What is the probability that a randomly selected recent bachelor’s degree graduate will be a man with a degree in business?

(d) What is the probability that a randomly selected female recent bachelor’s degree graduate will have a degree in business?

Answer 1

Answer)

It is mentioned in the question that 17.5% of all bachelor's degrees are in business

So, 100-17.5% = 82.5% of all bachelor's degrees are others

and 27% of bachelor's degree in business are obtained by women

27% of 17.5% = 4.725%

So, 17.5-4.725= 12.775% are obtained by men

48.75%of other degrees are obtained by men

48.75% of 82.5% = 40.21875 by men

And 82.5 - 40.21875 = 42.28125 by women

Required table is

Business. Other

Men. 12.775 40.21875

Women. 4.725 42.28125

B)

Probability is given by favorable/total

Total here is = 12.775 + 4.725 + 40.21875 + 42.28125 = 100

Favorable = man = 12.775 + 40.21875= 52.99375

Required probability is = 52.99375/100 = 0.5299375

C)

Favorable = man with a degree in business = 12.775

Required probability = 0.12775

D)

Here total is females = 4.725 + 42.28125 = 47.00625

Favorable is female with business degree = 4.725

Required probability is 4.725/47.00625

= 0.1005185480654