The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 33 mm and standard deviation 7.1 mm.USE SALT(a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your answers to four decimal places.)at most 20mm0.03360.0336less than 20mm(b) What is the 75th percentile of the defect length distribution-that is, the value that separates the smallest 75% of all lengths from the largest 25%? (Round your answer to fourdecimal places.)37.8889mm(c) What is the 15th percentile of the defect length distribution? (Round your answer to four decimal places.).42.7476mm(d) What values separate the middle 80% of the defect length distribution from the smallest 10% and the largest 10% ? (Round your answers to four decimal places.)smallest 10%largest 10%mmmmYou may need to use the appropriate table in the Appendix of Tables to answer this question.

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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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Christopher has collected data to find that the total snowfall per year in Laytonville has a normal distribution. What is the probability that in a randomly selected year, the snowfall was greater than 53 inches if the mean is 92 inches and the standard deviation is 13 inches? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.
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A random sample of 72 bottles of cologne showed an average content of 4 ounces. It is known that the population standard deviation of the contents is 8 ounces. What is the standard error of the mean, sigma subscript x with bar on top end subscript? Keep two decimal places of your answer.
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B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
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