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Radioactive mass A emits particles at a mean rate of 20

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 13E Chapter 4.11

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 13E

Radioactive mass A emits particles at a mean rate of 20 per minute, and radioactive mass B emits particles at a mean rate of 25 per minute.

a. What is the probability that fewer than 200 particles are emitted by both masses together in a five- minute time period?

b. What is the probability that mass B emits more particles than mass A in a two-minute time period?

Step-by-Step Solution:

Solution

Step 1 of 4

Let X represents the no. of particles emitted by radioactive mass A

Let Y represents the no. of particles emitted by radioactive mass B

a) Here we have to find the probability that fewer than 200 particles are emitted by both A and B together in 5 minutes time period

In 1 minutes time period  no. of particles emitted by A is 20

In 5 minutes time period  no. of particles emitted by A is 20(5)=100

In 1 minutes time period  no. of particles emitted by B is 25

In 5 minutes time period  no. of particles emitted by B is 25(5)=125

Here X and Y follows the poisson distribution

XPoisson(100)

YPoisson(125)

Here X follows the normal distribution with  mean 100 and standard deviation 100

Here Y follows the normal distribution with  mean 125 and standard deviation 125


Step 2 of 4

Chapter 4.11, Problem 13E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The full step-by-step solution to problem: 13E from chapter: 4.11 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 13E from 4.11 chapter was answered, more than 965 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “Radioactive mass A emits particles at a mean rate of 20 per minute, and radioactive mass B emits particles at a mean rate of 25 per minute.a. What is the probability that fewer than 200 particles are emitted by both masses together in a five- minute time period?________________b. What is the probability that mass B emits more particles than mass A in a two-minute time period?” is broken down into a number of easy to follow steps, and 66 words. This full solution covers the following key subjects: minute, particles, mass, emits, mean. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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Radioactive mass A emits particles at a mean rate of 20