Question

At the Statsville County Fair, the probability of winning a prize in the basketball toss game is 0.1.

a) Show the probability distribution for the number of prizes won in 8 games (round to 6 decimal places).

b) If the game will be played 500 times during the fair, how many prizes should the game operators keep in stock?

Answer 1

X	0	1	2	3	4	5	6	7	8
P(X=x)	p(X=0)	P(X=1)	P(X=2)	P(X=3)	P(X=4)	P(X=5)	P(X=6)	P(X=7)	P(X=8)
P(X=x)	0.430467	0.382638	0.148803	0.033067	0.004593	0.000408	0.000023	0.000001	0.0000001

A) probability distribution for number of prize won in 8 games

Let X is number of successes(wins prize)

It follows binomial distribution( n , p )

P(X=x)= (p)^x(1-p)^(n-x)

B)

E(X)=50

Hence expected 50 prizes should game operators keep in stock

Solution file is attached go through it

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