Chapter 07, Section 7.4, Problem 041A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean oinspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.95 inches or greater than 4.05 inches, the inspector concludes that the machineneeds an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?4 inches and a standard deviation of 0.09 inch. The quality controlRound your answer to 4 decimal places.Probability =the tolerance is +/-5%

Solution: Let X be the length of the nails. From the given information, X follows normal…

Answered: Chapter 07, Section 7.4, Problem 041 A…

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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QUESTION 21 Employees in a company experience distractions (phone calls, emails, unscheduled visits etc.) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 36 employees their mean distraction time is more than 100 minutes? 0.0478 0.0004 0.3906 0.9772
question ii and iii
Problem 2: Let X be a random variable that represents the flow, in cm³/s that goes through a water pipe that discharges into Lake Ontario at any point in time. You have determined that X follows a normal distribution with mean 30cm³/s and standard deviation 5cm³/s. a) What is the probability that the flow through the pipe exceeds 37cm³/s? b) What is the probability that the flow through the pipe is at most 25cm³/s? c) The probability that the flow through the pipe is between 30 - f cm³/s and 30 + f cm³/s is 0.6, what is the value of f?
Example 8.5: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute
Question 3 a. The content of brown sugar inside a packet is normally distributed with mean 250 grams and standard deviation of 5 grams. i. A packet is selected at random, find the probability that it is less than 245 grams. ii. Determine how much should be inside the packet that chances exceed 9%. iii. 50 packets are chosen randomly. What is the probability that the mean weight is more than 257 grams?
Solve normal distribution problem #11
part 2 question 8 The distribution of the weights of a certain type of mangoes is normally distributed with a mean of 150 grams, and standard deviation of 13 grams. A sample of 20 mangoes of this type is taken from a shipment. What is the probability that the mean of the sample is less than 145 grams?
Problem 5. The resistance of one meter of copper cable at a certain temperature is normally distributed with mean μ = 23.8 and variance o² = 1.28. a) What is the probability that a one-meter segment of copper cable has a resistance less than 23.0? b) What is the probability that a one-meter segment of copper cable has a resistance greater than 24.0? c) What is the probability that a one-meter segment of copper cable has a resistance between 24.2 and 24.5?
Chapter 07, Section 7.4, Problem 038c The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $137 and a standard deviation of $30. Find the probability that the mean amount of electric bills for a random sample of 75-households selected from this city will be more than the population mean by at least $4. Round your answer to four decimal places. P (x greater than u by at least $4) = the tolerance is +/-2%
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Problem 3: The mean yearly mileage of the vehicles in a delivery company's fleet is 51,400 miles, with a standard deviation of 4,800 miles. You take a random sample of 30 vehicles and another of 45 vehicles. What is the probability that the difference between the mean mileage of the two samples will be a) less than 2,000 miles? b) More than 500?
Question 4. a. On a random day, a store can sell a mean value of 32 pasta packages and a standard deviation of 4. What is the probability that the total number of pasta packages sold by the store for a random sample of 58 days is less than 1862? Explain. Let b. X₁, X2, X3, and X4 represent the weight of shipment packages at a certain shipment facility. Suppose they are independent normal random variables with means M₁ = 0.8, M₂ = 2.6, μ3 = 8.4, µ4 = 2.3 pounds and variances . Find o² = 0² = 0} = 0} = 1 P(3X₁ + 1X2 + 1X3 + 2X4 ≤ 16.8)

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