(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?

(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the probability that at least two defective units are found in a random sample of 20? (Use the result of Q(a)(iii).) (i) What probability distribution do you need to use to solve this problem? (ii) Find the probability that a randomly selected unit will contain zero surface-finish defect. (iii) Find the probability that at least two defective units are found in a random sample of 20?

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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QUESTION 26 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? 0.0004 0.0478 0.3906 0.9772
18 O 16 O 20 42 QUESTION 9 The service time for customers coming through a checkout counter has mean 50 seconds and standard deviation 6.8 seconds. Find the probability that the average service time for 64 passengers to get service will be between 48.4 and 51.6 seconds. O 0.0301 O 0.1897 0.9699 O 0.9399 QUESTION 10 A research worker wants to determine the average time it takes a mechanic to rotate the tires of a car, and she wants to be able to assert with 95% confidence that the mean of her sample is off by at most 0.3 minutes. If she can presume from past experience that the actual time follows normal distribution with a standard deviation of 1.5 minutes, how large the sample will she have to take? O 96 97 9. Save All Answers Click Save and Submit to save and submit. Click Save All Answers to save all answers. O O O O
HOW DO I COMPUTE THIS PROBLEM?
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 20, and 30 min, respectively, and the standard deviations are 1, 2, and 1.4 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.)You may need to use the appropriate table in the Appendix of Tables to answer this question.
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
A education.wiley.com E NWP Assessment Player UI Application ER P -/ 1 Question 14 of 25 10 12 14 16 p(x) 0.20 0.30 0.25 0.25 (a) Use the probability function given in the table to calculate the mean of the random variable. Enter the exact answer. eTextbook and Media Assistance Used Hint Assistance Used (b) Use the probability function given in the table to calculate the standard deviation of the random variable. Round your answer to three decimal places. eTextbook and Media Assistance Used Hint Assistance Used MacBook Air 80 888 F3 F4 F5 DD F7 F8 F9 F10 %23 & 3 4 E II * CO
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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 30, and 15 min, respectively, and the standard deviations are 1, 2, and 1.3 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.) In USE SALT
Two normally distributed populations with H4 =µ, and both variances being 100 are given. Random samples of size 25 are taken from each population with respective sample means 104 and 100. What is the probability of observing a difference of at least 4 units between the first and second sample means? Select one: O a.None b.0.1271 c.0.8729 d.0.9207 e.0.0793
1 A sample size of 30 is taken from a population which is normally distributed with a mean of 60 and standard deviation of 4.Find the probability of the sample mean less than 59 Type your answer... 2