A marksman takes 10 shots at a target and has probability 0.2 of hitting the target with each shot, independently of all other shots. Let ? be the number of hits. What is the probability of scoring no hits? Find the expectation and variance of ?.
Added by Brandi S.
Step 1
Since the probability of hitting the target is 0.2, the probability of missing the target is 1 - 0.2 = 0.8. Since the shots are independent, the probability of missing all 10 shots is the product of the probabilities of missing each shot: $P(\text{no hits}) = Show more…
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