An 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 180 lb and a standard deviation of 36 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?
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- Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.An elevator has a placard stating that the maximum capacity is 3800 Ib-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 182 Ib and a standard deviation of 40 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. 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 146 lb is (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. B. Yes, because there is a…An elevator has a placard stating that the maximum capacity is 3700 Ib-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3700 / 26 = 142 pounds. Assume that weights of males are normally distributed with a mean of 187 lb and a standard deviation of 38 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 142 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 142 Ib 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 142 lb is __. (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has a mean weight greater than 142 lb is __. (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. No, because 26 randomly selected people will never be under the weight limit. O B. Yes, because there is a good…
- Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability = B. The probability that a random sample of 17 has a mean between 583 and 593.Probability = C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? c. When redesigning the ejection seat, which probability is more relevant? part b because the seat performance for a single pilot is more important part b because the seat performance for a sample of pilots is more important Part a because the seat performance for a single pilot is more important part a because the seat performance for a sample of pilots is more important. please show solving steps and if possible tell me how to also get these answers through excel…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?
- Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.The Boeing 157-200 ER aircraft carries 200 passengers and has doors with a height of 72 inches. Male heights are normally distributed with a mean of 67.4 inches and a standard deviation of 3.8 inches. 1. If a male passenger is selected at random, find the probability that he can pass through the door without leaning over. Enter your answer to four decimal places. 2. If half of the 200 passengers are men, find the probability that the average height of the 100 men is less than 72 inches. Enter your answer to four decimal places.An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 136 lband a standard deviation of 29.6 lb. b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb.
- The average production cost for major movies is 67 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 45 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. For the group of 45 movies, find the probability that the average production cost is between 63 and 65 million dollars.The average production cost for major movies is 63 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 35 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible 1. For the group of 35 movies, find the probability that the average production cost is between 61 and 66 million dollars