A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A manufacturing company's manufactures steel rods. The lengths of the rods are
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- A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.arrow_forwardThe distribution of heights of adult men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Bob's height has a Z-score of -2.5 when compared to all adult men. In 1-2 sentences, interpret what this Z score tells about how Bob compares to other men in terms of height.arrow_forwardJack's clothing sells on average, 25 shirts per week, sometimes a little more, sometimes a little less but typically a deviation of about 3. The cost per jacket is $65. Because Jack's is located in a sketchy part of town their insurance on inventory is 33% on all goods. The good news is free shipping to customers although UPS charges Jack's $8.50 for every delivery. It takes 2 weeks from the time jackets are ordered until they are received. Jack's supplier has said they only ship by pallet, and each pallet contains 75 jackets. If the reorder point is 50 what is the average flow time?arrow_forward
- Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.arrow_forwardAn environmental researcher took 30 water samples from different areas of a lake. He measured the pH level of each water sample. The standard deviation for the 30 pH levels was about 1.4.What is the best interpretation of the standard deviation? The pH level of a typical water sample was about 1.4 units from the mean on average. The difference between the minimum and maximum pH levels was about 1.4 units. The entire lake had a pH level that was about 1.4 units. The pH level of any given water sample was about 1.4 units from the mean. - this one is wrongarrow_forwardA study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.arrow_forward
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