Question

In a lottery 4 numbers are picked from among 15 possible numbers. The player also purchases a lottery ticket and picks which four which he and she thinks will win.

a. construct the probability distribution of x, the number of winners picked by the player.

Answer 1

Answer:

Given Data

In a lottery 4 numbers are picked from among 15 possible numbers.

a) construct the probability distribution of x , the number of winners picked by the player.

For hypergeometric distribution

Here

N = population size = 15

K = number of success states in the population = 4

n = number of drows = 4

k = number of success

=   

= 0.2417

=

= 0.4835

=  

= 0.2417

=  

= 0.0322

=  

= 0.000732

Probability distribution of X

X	P(X)
0	0.2417
1	0.4835
2	0.2417
3	0.0322
4	0.000732