Question: 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
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 deviation 2) 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 theater contract, 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= 4) According to an estimate, the average age at first marriage for men in the United States was 28.2 years in 2010 (Time, March 21, 2011). Suppose that currently the mean age for all U.S. men at the time of first marriage is 28.2 years with a standard deviation of 5 years and that this distribution is strongly skewed to the right. Let X be the average age at the time of first marriage for 29 randomly selected U.S. men. Round your answers to one decimal place, if required. Find the mean and the standard deviation of the sampling distribution of X for n=29. The sampling distribution of X is . 5) Let x be a continuous random variable that has a normal distribution with =77 Assuming = 18 find the probability that the sample mean, n/N= 0.05 for a random sample of 18 taken from this population will be between 69.9 and 86.0. Round your answer to four decimal places