SOLUTION: The probability that Edmund Blackadder hits the target with an arrow at any time is p=0.2 (hence he misses with probability 0.8). He fires his arrows at a target 9 times. a) Is

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Question 913727: The probability that Edmund Blackadder hits the target with an arrow at any time is p=0.2 (hence
he misses with probability 0.8). He fires his arrows at a target 9 times.
a) Is this a binomial experiment? Why?
b) Find the probability that Blackadder hits the target exactly 5 times
c) Find the probability that he hits it at least once (a bit tricky, think of a solution
involving the complement)
d) Find the expected number of target hits and the standard deviation.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(hit) = .2, n = 9
a) Yes, hit or miss
b) P(x=5) = binompdf(9, .2, 5) 0r P = 9C5(.2)^5(.8)^4
c) P(least one) - 1 - P(none) = .8^9
d. expected = .2%2A9 = ~2