1. Homework #3 Solution
Write the distribution for formula and determine whether it is a probability distribution or not if it is then calculated mean, variance and standard deviation.
P(X) = X/6, for X=1, 2, 3. X 1 2   3
P(X)
 1/6
2/6 
3/6 

2. Homework #3 Solution

3. Homework #3 Solution P(X) = X, for X=0.2, 0.3, 0.5. X 0.2 0.3 0.5 P(X)
 0.2
 0.3
 0.5
P(X)
0.3 

4. Homework #3 Solution

5. Homework #3 Solution 3. P(X) = X/6 , for X=3, 4, 7. X 3 4 7 P(X) 3/64   7
P(X)
 3/6
4/6 
7/6 

6. Homework #3 Solution 4. P(X) = X + 0.1, for X = 0.1, 0.002, 0.004. X
 0.1
0.002
 0.004
P(X)
0.2
0.102 
0.104

7. Homework #3 Solution 5. P(X) = X/7, for X=1, 2, 4. X 1 2 4 P(X) 1/7 1 2 4
P(X)
1/7
2/7 
4/7

8. Homework #3 Solution

9. Homework #3 Solution P(X)=X/(X+2), for X = 0, 1 ,2 X 0 1 2 P(X) 1/3 0 1 2
P(X)
1/3
1/2

10. Homework #3 Solution Question #2
A study on social science they found that 25% of youth dealing with drugs last month, if 10 youths has been selected randomly, find that at least 4 of them had dealing with drugs.

11. Homework #3 Solution Solution
X=10 , p = (0.25), q = (0.75) ,X= 0, 1, 2, 3

12. Homework #3 Solution Solution
At least 4 of them had dealing with drugs
= 1 – ( ) = 0.224

13. Homework #3 Solution Question #3
A study on Life Insurance Company reported that 2% of all American births result in twins. If random of 8000 births is taken, find mean, variance and standard deviation of the number of births that would result on twins verify your methods of answering this question.

14. Homework #3 Solution
Solution
n = 8000, p= 0.02, q = 0.98