Author:
Christine Farr

1) Let X be a discrete random variable that possesses a binomial distribution with n=5 and p=0.90.What are the mean and standard deviation of this probability distribution?Round your answers to three decimal places, if required.Mean Standard deviation2) A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are: 14 million from the office building, 9 million from the theater, and 5 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theatercontract, the parking garage contract, or nothing are, 0.16, 0.29, and 0.14, respectively. Let x be the random variable that represents the contractor's profits in millions of dollars. Write the probability distribution of x. Find the mean and standard deviation of x.Round your answers to three decimal places, if required.Mean standard deviation 3) Find the area under the standard normal curve to the right of z=1.97.Round your answer to four decimal places. A=

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