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Total questions: 18

Worksheet time: 22mins

Name
Class
Date
1.

If E(X) = 3, E(Y)= 4, Var(X)=2 and Var(Y)=5, find E(3X+4Y)

(a)  

2.

If E(X) = 3, E(Y)= 4, Var(X)=2 and Var(Y)=5, find var(3X+4Y)

(a)  

3.

If E(X) = 3, E(Y)= 4, Var(X)=2 and Var(Y)=5, find E(3X-4Y)

(a)  

4.

If E(X) = 3, E(Y)= 4, Var(X)=2 and Var(Y)=5, Var(3X-4Y)

(a)  

5.

If E(X) = 5 find E(3X+5).

(a)  

6.

Var(X) = 5 find Var(3X+5)

(a)  

7.

A random variable X has a mean of 10 and a standard deviation of 8. An independent random variable Y has a mean of 10 and a standard deviation of 6. What is the mean of X - Y ?

(a)  

8.

A random variable X has a mean of 10 and a standard deviation of 8. An independent random variable Y has a mean of 10 and a standard deviation of 6. What is the mean of X - Y ?

(a)  

9.

Let X represent the number on the face that lands up when a biased six-sided number cube is tossed. The expected value of X is 4, and the standard deviation of X is approximately 2.436. Two biased six-sided number cubes will be tossed, and the numbers appearing on the faces that land up will be added. What is the expectation of the sum?

(a)  

10.

Let X represent the number on the face that lands up when a biased six-sided number cube is tossed. The expected value of X is 4, and the standard deviation of X is approximately 2.436. Two biased six-sided number cubes will be tossed, and the numbers appearing on the faces that land up will be added. What is the standard deviation of the sum? give answer to 2 decimal places

(a)  

11.

If X~ B(6,0.2) , find the P (X = 2) . give your answer to 2 decimal places

(a)  

12.

If X~ B(6,0.2) , find the P (X < 2) . give your answer to 2 decimal places

(a)  

13.

If X~ B(6,0.2) , find the  P(X≤2)P\left(X\le2\right)  

 give your answer to 2 decimal places.



(a)  

14.

If X~ B(6,0.2) , find the P(X > 2)

give your answer to 2 decimal places.

(a)  

15.

If X~ B(6,0.2) , find the P(X ≥ 2) give your answer to 2 decimal places.

(a)  

16.

If X~ B(6,0.2) , find E(X)

(a)  

17.

If X~ B(6,0.2) , find VAR(X)

(a)  

18.

A fair die is thrown 13 times. Find the probability that the number of fives obtained is between 2 and 4 inclusive. give answer to 3 decimal places

(a)