Probability Essay Example
 Category:Business
 Document type:Assignment
 Level:Undergraduate
 Page:1
 Words:261
Probability
Question 1
Question 2
If a member of staff is selected at random what is the probability that:

They are in the most senior grade.
P=102/200=0.51

They are in the least senior grade.
P= 40/200=0.2

They are Male.
P(M)=138/200=0.69

They are Female.
P(F)=62/200=0.31

.They are in the most senior grade given that they are Female
P=40/200=0.2

They are Female given that they are in the most senior grade.
P=40/200=0.2

They are in the least senior grade given that they are Male.
P=29/200=0.145
.They are Male given that they are in the least senior grade (h)
P=29/200=0.145
Question 3
Question 4
Promoted 
Not Promoted 


What is the probability that a family will own both a US car and a non US car?
P(Owns a U.S car AND non U.S car)
30/200=0.15

Use the marginal probabilities to compare US and non US car ownership.

What is the probability a family owns a car?
P(Owns nonUS car but not nonUS car AND Owns US car but not nonUS car AND Owns both US car and nonUS car).
10/200+150/200+30/200
0.05+0.75+0.15=0.95
If a family owns a US car, what is the probability that it also owns a non US car?iv.
150/200+30/200=0.9

If a family owns a non US car, what is the probability that it also owns a US car?
10/200+30/200=0.2

Are US car and non US car ownership independent? Explain your answer.
Let A be US car
Let B be nonUS car
P(A AND B)=30/200=0.15
P(A) .P(B)150/200×180/200=1.64
P(A AND B) not equal P(A) .P(B) so the event A and B are not independent