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Unformatted text preview: ngths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random will be less than 29.75 inches long? A. .8944 B. .1056 C. .9332 D. .0668 1-455 Chapter 01 - An Introduction to Business Statistics 91. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long? A. .9987 B. .1574 C. .1587 D. .8413 92. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random will be less than 31 inches long? A. 0.00 B. 1.00 C. .8289 D. .5987 93. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random from the population is between 29.75 and 30.5 inches long? A. .4332 B. .4878 C. .0546 D. .9210 94. If x is a binomial random variable where n = 100 and p = .1, find the probability that x is less than or equal to 10 using the normal approximation to the binomial. A. .5675 B. .0170 C. .5714 D. .4325 1-456 Chapter 01 - An Introduction to Business Statistics 95. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 &quot;squared ounces.&quot; What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces? A. .0228 B. .9772 C. 0.000 D. 1.00 96. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 &quot;squared ounces.&quot; What is the probability that a randomly selected unit from a recently manufactured batch weighs no more than 3.5 ounces? A. .8413 B. .9772 C. .1587 D. .0228 97. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 &quot;squared ounces.&quot; What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 3.75 ounces? A. .3085 B. .6915 C. .1587 D. .8413 98. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 &quot;squared ounces.&quot; The company wants to classify the unit as a scrap in a maximum of 1% of the units if the weight is below a desired value. Determine the desired weight such that no more than 1% of the units are below it. A. 3.360 B. 3.680 C. 2.835 D. 3.418 1-457 Chapter 01 - An Introduction to Business Statistics 99. The weight of a product is normally distributed with a standard deviation of .5 ounces. What should the average weight be if the production manager wants no more than 5% of the products to weigh more than 5.1 ounces? A. 4.278 B. 4.409 C. 3.455 D. 5.922 100. The weight of a product is normally distributed with a standard deviation of .5 ounces. What should the average weight be if the production manager wants no more than 10% of the products to weigh more than 4.8 ounces? A. 3.52 B. 3.64 C. 5.44 D. 4.16 101. The weight of a product is normally distributed with a mean 5 ounces. A randomly selected unit of this product weighs 7.1 ounces. The probability of a unit weighing more than 7.1 ounces is .0014. The production supervisor has lost files containing various pieces of information regarding this process including the standard deviation. Determine the value of standard deviation for this process. A. 1.67 B. 0.70 C. 2.10 D. 0.50 102. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. What is the probability a subscriber will spend at least 1 hour reading the paper? A. .9987 B. .7549 C. .2451 D. .0013 1-458 Chapter 01 - An Introduction to Business Statistics 103. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. What is the probability a subscriber will spend no more than 30 minutes reading the paper? A. .1170 B. .0301 C. .8830 D. .9699 104. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. For the 10% who spend the most time reading the paper, how much time do they spend? A. 11.72 B. 28.52 C. 86.28 D. 69.48 105. At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25ºC. What is the probability that the temperature increase will be less than 20ºC? A. 0.40 B. 0.67 C. 0.80 D....
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