A lot of size N = 25 contains 5 nonconforming units. The testing procedure: if a sample of6 contains 1 or less nonconforming units, the lot is accepted.(a) What is the probability of lot acceptance?(b) Calculate the desired probability in (a) using binomial approximation? Is thisapproximation satisfactory? Why or why not?(c) Suppose the lot size was N = 300. Recalculate the probability (a) with binomialapproximation? Is this approximation satisfactory? Why or why not? The weight of bearings produced by a machine is being studied. A random sample of sixbearings provided the weights: 1.22, 1.45, 1.11, 1.31, 1.41, 1.20. Calculate the sampleaveragae, the sample standard deviation, and the sample median. (Please show your detailedcalculating procedure)

Part 1: Calculation of Sample StatisticsThis part involves calculating the sample mean, standard…

Answered: A lot of size N = 25 contains 5…

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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For a random sample of 300 bears, what is the probability of obtaining a sample mean less than 680 pounds? Round to 4 digits beyond the decimal point. (image for reference)
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In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 565 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 40 patients will gain weight as a side effect. (b) no more than 40 patients will gain weight as a side effect. (c) at least 51 patients will gain weight as a side effect. What does this result suggest? (a) P(40) = (Round to four decimal places as needed) (b) P(X< 40) = (Round to four decimal places as needed) (c) P(X251) = (Round to four decimal places as needed) Since 51 is than 7% of the patients, this suggests that the proportion of patients that gain weight as a side effect is 0.07.
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