A survey reported that the mean starting salary for college graduates after a three-year program was $34,620Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3390. What percentage of the graduates have starting salaries: (Round z-score computation to 2 decimal places and the final answers to 4 decimal places.) a. Between $30,000 and $38,700? Probability b. More than $43,600? Probability c. Between $38,700 and $43,600? Probability A uniform distribution is defined over the interval from 1 to 5. a. What are the values for a and b? a b b. What is the mean of this uniform distribution? (Round the final answer to 1 decimal place.) Mean c. What is the standard deviation? (Round the final answer to 4 decimal places.) Standard deviation d. Is the total area under (Click to select) v he curve equal to 1.00? e. Find the probability of a value more than 2.6. (Round the final answer to 2 decimal places.) Probability f. Find the probability of a value between 2.9 and 3.7, (Round the final answer to 4 decimal places.) Probability Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $1740 per hour and a standard deviation of $210. What is the maximum operating cost for the lowest 5% of the airplanes? (Round z~score computation to 2 decimal places and the final answer to 1 decimal place.) Maximum operating cost $ 1393.60 The manufacturer ofa laser printer reports the mean number of pages a cartridge will print before it needs replacing is 11,700. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 720 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. Refer to the table in Appendix 8.1. How many pages should the manufacturer advertise for each cartridge if it wants to be correct 96 percent of the time? (Round zvalue to 2 decimal places and the final answer to the nearest whole number.) Pa ges According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1964. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $452. Refer to the table in Appendix B.1. (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.) a. What percentage ofthe adults spend more than $2320 per year on reading and entertainment? Percentage % b. What percentage spend between $2320 and $3000 per year on reading and entertainment? Percentage % c. What percentage spend less than $1000 per year on reading and entertainment? Percentage % Customers experiencing technical difculty with their Internet cable hookup may call an 800 number for technical support. It takes the technician between 132 seconds to 13.4 minutes to resolve the problem. The distribution of this support time follows the uniform distribution. a. What are the values for a and b in minutes? (Do not round the intermediate calculations. Round the final answers to 1 decimal place.) a b b1. What is the mean time to resolve the problem? (Do not round the intermediate calculations. Round the final answer to 2 decimal places.) Mean b2. What is the standard deviation of the time? (Do not round the intermediate calculations. Round the final answer to 2 decimal places.) Standard deviation c. What fraction of the problems take more than 5 minutes to resolve? (Do not round the intermediate calculations. Round the final answer to 2 decimal places.) Percent % d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times? (Do not round the intermediate calculations. Round the final answers to 3 decimal places.) Lower end point Upper end point It is estimated that 11% of those taking the quantitative methods portion of the certified public accountant (CPA) examination fail that section. Sixty ve students are taking the examination this Saturday. a-1. How many would you expect to fail? (Round the final answer to 2 decimal places.) Number of students a-2. What is the standard deviation? (Round the final answer to 2 decimal places.) Standard deviation b. What is the probability that exactly three students will fail? (Round the final answer to 4 decimal places.) Probability c. What is the prooability at least three students will fail? (Round the final answer to 4 decimal places.) Probability Given the following pairs of zvalues, find the area under the normal curve between each pair of zvalues, Refer to the table in Agpendix B.'l. (Round the final answers to 4 decimal places.) a. z= 2.7 and 2= 2 b. z= 1.8 and z= O.5 c. 2: 1.56 and Z: 2.97 d. z= 2.31 and z= 1.39
