MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Due to a consumer protection law which penalizes manufacturers if their products are under filled (contains less than the advertised amount), some manufacturers deliberately overfill slightly. For example, the label on the container of Morton Iodized Salt shows its volume to be 26 ounces. Suppose the distribution of volumes of salt is approximately normal with a
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- A ski lift states a maximum capacity is 12 people or 2004lb. A worst-case scenario would be 12 adult male passengers since they tend to be heavier verse women and children. Assume adult male weights are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb. A. If 12 men weighed exactly 2004 lb, what would be the average weight? B. Find the probability that a single man will have a weight greater than your result from A. C. Find the probability that a single man will have a weight greater than your result from A. Does the ski lift appear to have the correct weight limit from these results?arrow_forwardAn elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)arrow_forwardA particular fruit's weights are normally distributed, with a mean of 259 grams and a standard deviation of 29 grams. If you pick one fruit at random, what is the probability that it will weigh between 233 grams and 344 gramsarrow_forward
- A particular fruit's weights are normally distributed, with a mean of 501 grams and a standard deviation of 29 grams. If you pick one fruit at random, what is the probability that it will weigh between 550 grams and 602 grams?arrow_forwardAn elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?arrow_forwardA particular fruit's weights are normally distributed, with a mean of 304 grams and a standard deviation of 39 grams.If you pick one fruit at random, what is the probability that it will weigh between 290 grams and 416 gramsarrow_forward
- An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as neededarrow_forwardAssume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.arrow_forwardA particular fruit's weights are normally distributed, with a mean of 336 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 269 grams and 303 grams?arrow_forward
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