Suppose the probability that a marksman will hit a target each time he shoots is 0.67. If he fires 7 shots at a target, what is the probability he will hit it 2 times? Round your answer to six decimal places.
A)Pr(2 Hits) = 0.036893
B)Pr(2 Hits) = 0.008950
C)Pr(2 Hits) = 0.000615
D)Pr(2 Hits) = 0.012298
E)Pr(2 Hits) = 0.006149

Question

Suppose the probability that a marksman will hit a target each time he shoots is 0.67. If he fires 7 shots at a target, what is the probability he will hit it 2 times? Round your answer to six decimal places. ​
A)Pr(2 Hits) = 0.036893
B)Pr(2 Hits) = 0.008950
C)Pr(2 Hits) = 0.000615
D)Pr(2 Hits) = 0.012298
E)Pr(2 Hits) = 0.006149

Quizplus · Accepted Answer

The probability of hitting the target 2 times out of 7 can be calculated using the binomial probability formula: $P(X=k) = \binom{n}{k}p^k(1-p)^{n-k}$, where $n=7$, $k=2$, $p=0.67$, and $1-p=0.33$. Plugging these values into the formula gives the probability of exactly 2 hits, which rounds to 0.036893.

Suppose the Probability That a Marksman Will Hit a Target