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b) How much should the trader expect to gain or lose? c) Should the trader buy the stock? Explain. 3) A moving target at a police academy target range can be hit 78% of the time by a particular individual. Suppose that as part of a training exercise, she has to take eight shots at a moving target. a) What characteristics of this scenario indicate that you are working with Bernoulli trials? (3 points) b) What is the probability that she hits the 4'\" target?(1 poimj c) What is the probability that the rst time she hits a target is not until her fourth shot?(3 points) Consider the question: What is the probability that she will hit 5 of the targets? Notice that this question is talking about any 5 of the targets and that there are many scenarios in which this could happen. Thus we should apply the binomial model to answer this question. There are two built-in commands for the binomial model in your graphing calculator, binompdf and binomcdfand they can be found by going to 2"d DISTR and choose option A or B. Use one of these commands to answer the questions ((1) through (h) below. d) What is the probability that she will hit 5 targets? (3 points) e) What is the probability that she will hit at most 6targets? (3 points) 1) What is the probability that she will hit at least 4 targets? (3 points) g) What is the probability that she will hit between 4 and 7 targets (inclusive)? (3 points) h) What is the probability that she will hit at least one target? (3 points) i) What is the mean and standard deviation of the number of targets hit? (4 points)