Simulate the experiment described in Exercise 3.115 by

Chapter 3, Problem 116E

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QUESTION:

Problem 116E

Simulate the experiment described in Exercise 3.115 by marking six marbles or coins so that two represent defectives and four represent non-defectives. Place the marbles in a hat, mix, draw three, and record Y , the number of defectives observed. Replace the marbles and repeat the process until n = 100 observations of Y have been recorded. Construct a relative frequency histogram for this sample and compare it with the population probability distribution (Exercise 3.115).

Reference

Suppose that a radio contains six transistors, two of which are defective. Three transistors are selected at random, removed from the radio, and inspected. Let Y equal the number of defectives observed, where Y = 0, 1, or 2. Find the probability distribution for Y. Express your results graphically as a probability histogram.

Questions & Answers

QUESTION:

Problem 116E

Simulate the experiment described in Exercise 3.115 by marking six marbles or coins so that two represent defectives and four represent non-defectives. Place the marbles in a hat, mix, draw three, and record Y , the number of defectives observed. Replace the marbles and repeat the process until n = 100 observations of Y have been recorded. Construct a relative frequency histogram for this sample and compare it with the population probability distribution (Exercise 3.115).

Reference

Suppose that a radio contains six transistors, two of which are defective. Three transistors are selected at random, removed from the radio, and inspected. Let Y equal the number of defectives observed, where Y = 0, 1, or 2. Find the probability distribution for Y. Express your results graphically as a probability histogram.

ANSWER:

Solution

Step 1 of 2

We have to construct histogram for the relative frequency distribution

The relative frequency is obtained by the frequency is divided by the total frequency

Here given n=100

Simulate the sample values

Now the relative frequencies for 19, 63, and 18

19/100=0.19

63/100=0.63

18/100=0.18

Now draw the histogram by using Ms-excel


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