Question

Two books of a student are selected without random substitution where there are four examples of Statistics, three of Mathematics, and two of Finance. If X is the number of books of Statistics and Y is the number of volcanoes of selected Mathematics. construct a table that shows the values ​​of the joint probability distribution of X and Y.

Answer 1

Answer :

Number of books of Statistics = X

Number of volcanoes of selected Mathematics = Y

Total no.of books selected of student = 2

Examples of statistics = 4

Mathematics = 3

Finance = 3

therefore,

The table is as follows :

	X
Y	0	1	2	3	Total
0	0.222	0.333	0.044	0	= 0.222 + 0.333 + 0.044 + 0 = 0.6
1	0.222	0.133	0	0	= 0.222 + 0.133 = 0.355
2	0.044	0	0	0	0.044
Total	= 0.222 + 0.222 + 0.044 = 0.489	= 0.333 + 0.133 + 0 = 0.467	0.044	0	= 0.488 + 0.466 + 0.044 = 1

Finally the no.of books can be selected in $2^1^0$ ways