### Find the marginal probability function for random variabe

Assignment Help Basic Statistics
##### 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

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