Homework SourseSuppose the number of different computers X used by a studen
| Suppose the number of different computers (X) used by a student in the last week has the distribution in the following table. | |||||||||
| X | P(X) | ||||||||
| 0 | 0.3 | ||||||||
| 1 | 0.4 | ||||||||
| 2 | 0.3 | ||||||||
| ? | |||||||||
| ? | = E[X] | ||||||||
| ? | = Var[X] | ||||||||
| Now let X1 and X2 be two independent observations sampled from the above distribution. Let Y= (X1+X2)/2. Fill out the tables below: | |||||||||
| Y values | Y Probabilities | ||||||||
| X1 | 0 | 1 | 2 | 0.3 | 0.4 | 0.3 | |||
| X2 | 0 | 0.3 | |||||||
| 1 | 0.4 | ||||||||
| 2 | 0.3 | ||||||||
| Distribution of Y | |||||||||
| (PMF) | (CDF) | ||||||||
| Y | P(Y) | P(Y?y) | |||||||
| 0 | |||||||||
| 0.5 | |||||||||
| 1 | |||||||||
| 1.5 | |||||||||
| 2 | |||||||||
| ? | = E[Y] | ||||||||
| ? | = Var[Y] | ||||||||
| ? | = SD[Y] | ||||||||
| Suppose the number of different computers (X) used by a student in the last week has the distribution in the following table. | |||||||||
| X | P(X) | ||||||||
| 0 | 0.3 | ||||||||
| 1 | 0.4 | ||||||||
| 2 | 0.3 | ||||||||
| ? | |||||||||
| ? | = E[X] | ||||||||
| ? | = Var[X] | ||||||||
| Now let X1 and X2 be two independent observations sampled from the above distribution. Let Y= (X1+X2)/2. Fill out the tables below: | |||||||||
| Y values | Y Probabilities | ||||||||
| X1 | 0 | 1 | 2 | 0.3 | 0.4 | 0.3 | |||
| X2 | 0 | 0.3 | |||||||
| 1 | 0.4 | ||||||||
| 2 | 0.3 | ||||||||
| Distribution of Y | |||||||||
| (PMF) | (CDF) | ||||||||
| Y | P(Y) | P(Y?y) | |||||||
| 0 | |||||||||
| 0.5 | |||||||||
| 1 | |||||||||
| 1.5 | |||||||||
| 2 | |||||||||
| ? | = E[Y] | ||||||||
| ? | = Var[Y] | ||||||||
| ? | = SD[Y] | ||||||||
Solution
i am unable to upload image of answer so i am sending u the link of answer...please go through it
https://drive.google.com/file/d/0B6-y3LStajLMNXgwSW9vMlY3b0RfOU44VWw2Q192b0otWng4/view?usp=sharing
