ACTUARY Mathematics and Statistics

Question 1

A die is rolled. What is the probability of rolling a number greater than 4?

Accepted Answer

1/3

Answer

1/6

Answer

1/2

Answer

2/3

Question 2

A bag contains 3 red balls and 2 blue balls. A ball is randomly drawn. If a red ball is worth 5 points and a blue ball is worth 10 points, what is the expected value of the points earned?

Accepted Answer

8

Answer

6

Answer

7

Answer

9

Question 3

If a random variable X has the following probability distribution:
P(X=1) =0.2, P(X=2) =0.5, P(X=3)=0.3,

Accepted Answer

0.94

Answer

0.61

Answer

0.75

Answer

1.02

Question 4

A coin is flipped 3 times. What is the probability of getting exactly 2 heads?

Accepted Answer

3/8

Answer

1/8

Answer

3/4

Answer

1/2

Question 5

A card is drawn from a standard 52-card deck. What is the probability that it is a queen given that it is a face card?

Accepted Answer

1/3

Answer

1/12

Answer

1/9

Answer

1/4