Find the marginal probability function for random variabe

Reference no: EM132606778

QUESTION ONE
The following table shows a joint probability mass function f(x,y)

function f(x,y)

                      X
       0             1                  2

   0 1/16      2/16          1/16
Y 1 2/16     4/16          2/16
     2 1/16     2/16          1/16
Total 4/16     8/16           4/16

Find :
P(X=0,Y=1)
P(X<Y)
P(X>Y)
P(X=Y)

QUESTION TWO
Find the marginal probability function for the random variable X in question one above
P(X=0)
P(X=1)
P(X=2)

QUESTION THREE

Calculate the covariance and correlation for X and Y using the information from the joint probability mass function in the table given below
                      Y
       1             2              3

X 1   0           0.1             0

2 0.3 0.2 0.1

3 0 0.3 0

P(Y) 0.3 0.6 0.1

QUESTION FOUR

The following table shows marks scored by 15 students in Mathematics and English test: Use it to calculate the correlation coefficient

STUDENT   MATHEMATICS (X)   ENGLISH (Y)
1   84   69
2   74   64
3   48   56
4   54   72
5   72   86
6   71   68
7   96   87
8   75   86
9   69   71
10   100   91
11   23   31
12   58   65
13   94   89
14   76   71
15   52   54

QUESTION FIVE

Find the regression of Y on X in question four (4) above

Reference no: EM132606778

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