At a police shooting range, it is observed that the number of times, X, that a recruit misses a target before getting the first direct hit is a random variable. The probability of missing the target at each trial is 1/3 and the results of different trials are independent. 1. Obtain the distribution of X. 2. A recruit is rated poor, of he shoots at least four times before the first direct

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At a police shooting range, it is observed that the number of times, X, that a
recruit misses a target before getting the first direct hit is a random variable. The
probability of missing the target at each trial is 1/3
and the results of different trials
are independent.
1. Obtain the distribution of X.
2. A recruit is rated poor, of he shoots at least four times before the first direct
hit. What is the probability that a recruit picked at random will be rated poor?

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