Question 1POST OFFICEAccording to a USPS study, the weight of a randomly selected shipment box has unknown distribution with amean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipmentbox and let S be the total weight of a random sample of size 9.1. Describe the probability distribution of X and state its parametersand σ:(μ = 22.7X~ unknownIσ = 4.5and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs.0.0383 x (Round the answer to 4 decimal places)

GivenLet "X" be the weight of a randomly selected shipment boxMean(μ)=22.7standard…

Answered: According to a USPS study, the weight…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.)
Two devices are used to measure the length of beam. If the true length of the beam is L, the measurement error made by one device, E, , is normally distributed with mean 0 and standard deviation 0.006L, and the measurement error made by the other device, E, , is normally distributed with mean 0 and standard deviation 0.004L. The two measurement errors are independent of each other. What is the probability that the average value of the two measurements, (E, + E,)/2, is within 0.5% of L? Note that this problem can be done using the attached table of the cdf of the standard normal random variable.
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.)
An 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.)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
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 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?
Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the height of maple trees at age 10 are estimated to be normally distributed with mean u cm and variance 100 cm. find u.
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 needed
The lifetime of a particular component is normally distributed, with a mean of 1000 hours, and a standard deviation of 100 hours. Find the probability that a randomly-drawn component will last 930 hours or less.

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