whats the expected number of arrows shot before the first bulls-eye is scored
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Ivan K.
An archer always hits a circular target with each arrow shot and hits the bullseye 2 out of every 5 shots on average. If 3 arrows are shot at the target, determine the probability that the bullseye is hit: (1) every time (2) the first two times, but not on the third shot (3) on no occasion.
Gregory H.
An archer hits the target 60% of the time. Let X be the number of shots before the first hit. a. What is the probability that it takes three shots before the archer hits the target? b. What is the probability that it takes at most three shots before the archer hits the target? c. What is the mean and variance of X? Consider the archer above. d. What is the probability that the archer needs exactly 10 shots to hit the target five times? e. What is the expected value of the number of shots necessary to hit the target five times? f. Create an interval two standard deviations below the mean to two standard deviations above the mean.
Sri K.
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