egative Binomial Hy used but some ror numbers 58 determine w

egative Binomial, Hy- used but some ror numbers 5-8, determine which distribution (Geometric, Binomial, Poisson, N pergeometric) best matches may be used more than once. the listed question. Note: not all of the distributions will be used but so (4 points) The pool of qualified jurors called for a high-prohle case has 12 whites, 9 blacks, 4 His as 12 whites, 9 blacks, 4 Hlispanics panics, and 2 Asians. From these, 12 will be selected to serve on the jury. Assume that all qualified jurors meet the criteria for serving. Find the probabilities of the events \"No white is on the jury.\" (4 points) A large lot of tires contains 5% defectives. Four tires are to be chosen from the lot and placed on a car., Find the probability that two defectives are found before four good ones. 7. (4 points) Customer arrivals at a checkout counter in a department store have an average of seven per hour over a large timeframe. In a given hour, determine the probability that more than 10 customers will arrive, 4 points)An archer can hit the bullseye 93% of the time. How many shots would she need to take on average before her first miss?hy

Solution

1. Hypergeometric, as we get jurors without replacement, and the probability of getting a white varies as the process goes on.

2. Geometric, as it talks about \"first successes\". Order of events matter here, that is.

3. Poisson, as it is a rare event and the mean is given for an interval. Only Poisson distribution does that.

4. Negative Binomial, as the number of successes is fixed, but the number of trials is not.