Assume that each package of a company contains 4 products and the number of defective products in onepackage has the following distribution:23400 0.020.220.761. Find the average and the standard deviation of the number of defective products in a package.Answer: E(X) = 3.7400Answer: o(X) = 0.48212. Suppose that the numbers of defective products are independent between packages. Find theprobability that there are not greater than 948 defective products in 256 package.X 0.1232Answer: 0.1105

Expected value : Expected value is the sum of observations divided by total number of observations

Answered: Assume that each package of a company…

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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A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations with Excel functions.
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Use the formula to find the standard error of the distribution of differences in sample means, I1 – X2. Samples of size 110 from Population 1 with mean 82 and standard deviation 14 and samples of size 80 from Population 2 with mean 76 and standard deviation 17 Round your answer for the standard error to two decimal places. standard error = i
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Q2. Assume we have two populations represent the mercury contamination (g/Km3) in two different European cities. The mean of mercury contamination in the first city is 50 g/Km3 with standard deviation of 1O, and mean of mercury contamination in the second city is 40 g/Km3 with standard deviation of 8 g/Km3. If a sample of n=9 is taken form first city and a sample of n=16 is taken form second city, what is the probability that the difference between these two sample means is less than 9 g/Km3? 0.0614 0.0359 0.3985 0.0992 0.6015

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