Question

PART A. Let's say that a business has 400 employees, 300 of whom are male and 100 of whom are female. From Human Resources, we know that that 25% of the male employees have bachelor degrees or above, while 53% of the females have bachelor degrees or above. If we were to choose one of the 400 employees at random, what is the probability that the individual would have a bachelor degree or above and be female?

PART B. There are 200 patients who have undergone one of two types of surgery, hip or knee replacement. A year after surgery each individual was asked whether they were satisfied or dissatisfied with with their operation. The following table summarizes this information:

	Satisfied	Dissatisfied
Knee	70	25
Hip	90	15

What is the probability of a person with hip surgery being satisfied with their operation a year later?

PART C. Temitayo has two children, the first of which is a boy. What is the probability that his second child is a girl? You can assume that having a girl or a boy child is equally likely. A. 1 B. .5 C. .33 or D. .25

What type of probability did you calculate? A. Marginal B. Joint C. Conditional D. Independent

PART D. There is as 25% chance of rain tomorrow, a 30% of high winds and a 10% chance of both. What is the probability of it being rainy, windy or both?

PART E.

Which of the following is true for mutually exclusive events M and K? A. They are disjoint B. They have no outcomes in common C. M^K is empty D. A-C is all correct

PART G.

A fair die is rolled simultaneously with a fair coin. What is the probability of getting a heads or a number greater than 4?

Answer 1

a) probability that the individual would have a bachelor degree or above and be female =P(female)*P(bachelor degree or above |female) =(100/400)*0.53=0.1325

b)

probability of a person with hip surgery being satisfied with their operation a year late =90/105=0.8571

c)

probability that his second child is a girl =0.5

d)

C. Conditional

e)

What is the probability of it being rainy, windy or both =0.25+0.3-0.1=0.45

f)

D. A-C is all correct

G)

probability of getting a heads or a number greater than 4 =(1/2)*(2/6)=1/6