An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult malepassengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normallydistributed with a mean of 186 lb and a standard deviation of 39 lb.a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb.b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580(Round to four decimal places as needed.)

The question is about normal distribution.Given :Population mean weight of males ( ) = 186…

Answered: An elevator has a placard stating that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An elevator has a placard stating that the maximum capacity is 3900 lb-26 passengers. So, 26 adult male com passengers can have a mean weight of up to 3900/26= 150 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 150 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 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 150 lb is 0.5319 (Round to four decimal places as needed.)
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…
Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
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…
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 notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
An elevator has a placard stating that the maximum capacity is 4500 Ib-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4500/29=155 pounds. Assume that weights of males are normaly distributed with a mean of 177 Ib and a standard deviation of 39 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 155 b. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 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 155 Ib is. (Round to four decimal places as needed.) Clear all Check answen Help me solve this View an example Get more help - MacBook Air 44 F7 20 F3 888 FA FS esc FI F2 & 2$ 4 # 8 9. 7 2 3 Y
An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds. Assume that weights of males are normally distributed with a mean of 182 lb and a standard deviation of 40 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 150 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 150 lb is (Round to four decimal places as needed.)
Evpte. If the probability of a defective bolt is 0.1, find Ta) the mean (b) the standard deviation for the distribution of defective bolts in a total of 400.
For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If a women aged 18-24 is randomly selected, find the probability that her mean systolic blood pressure is between 119 and 122 mm HG.answer options..a) 0.6700b)0.0833c)0.1154d) 0.9167
An elevator has a placard stating that the maximum capacity is 3600 lb-25 passengers. So, 25 adult male passengers can have a mean weight of up to 3600/25= 144 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 26 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 144 lb. b. Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 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 144 lb is (Round to four decimal places as needed.)
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?

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