Assume that each package of a company contains 4 products and the number of defective products in one package has the following distribution: X0 1 2 3 4 P000.02 | 0.22 | 0.76 1. Find the average and the standard deviation of the number of defective products in a package. Answer: E(X) = 3.7400 Answer: o(X) = 0.4821 2. Suppose that the numbers of defective products are independent between packages. Find the probability that there are not greater than 948 defective products in 256 package. Answer: 0.1105 x o 0.1232
Assume that each package of a company contains 4 products and the number of defective products in one package has the following distribution: X0 1 2 3 4 P000.02 | 0.22 | 0.76 1. Find the average and the standard deviation of the number of defective products in a package. Answer: E(X) = 3.7400 Answer: o(X) = 0.4821 2. Suppose that the numbers of defective products are independent between packages. Find the probability that there are not greater than 948 defective products in 256 package. Answer: 0.1105 x o 0.1232
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![Assume that each package of a company contains 4 products and the number of defective products in one
package has the following distribution:
2
3
4
00 0.02
0.22
0.76
1. Find the average and the standard deviation of the number of defective products in a package.
Answer: E(X) = 3.7400
Answer: o(X) = 0.4821
2. Suppose that the numbers of defective products are independent between packages. Find the
probability that there are not greater than 948 defective products in 256 package.
X 0.1232
Answer: 0.1105](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc21b0495-0d8b-4148-83ad-91c32254039d%2F4b152d90-ee25-4a34-9191-4bf6a9572e90%2Fmiz9wi_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that each package of a company contains 4 products and the number of defective products in one
package has the following distribution:
2
3
4
00 0.02
0.22
0.76
1. Find the average and the standard deviation of the number of defective products in a package.
Answer: E(X) = 3.7400
Answer: o(X) = 0.4821
2. Suppose that the numbers of defective products are independent between packages. Find the
probability that there are not greater than 948 defective products in 256 package.
X 0.1232
Answer: 0.1105
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