Question

Suppose that a sharp-shooter hits the bull’s eye on a If the next 4 shots are target 18,000 in 50,000 shots. independent, find the probability that:

a. The next 4 shots hit the bull’s eye.

b. Two of the next 4 shots hit the bull’s eye

Answer 1

Suppose that a sharp-shooter hits the bull’s eye on a If the next 4 shots are target 18,000 in 50,000 shots. independent, find the probability that:

Binomial distribution used.

n=4, p=18000/50000 = 0.36

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

The next 4 shots hit the bull’s eye.

P( x=4) =0.0168

Excel function used: =BINOM.DIST(4, 4, 0.36, FALSE)

Two of the next 4 shots hit the bull’s eye

P( x=2) =0.3185

Excel function used: =BINOM.DIST(2, 4, 0.36, FALSE)

Binomial Probabilities Table
	X	P(X)
	0	0.1678
	1	0.3775
	2	0.3185
	3	0.1194
	4	0.0168