Solution Found!
Simulate the experiment described in Exercise 3.115 by
Chapter 3, Problem 116E(choose chapter or problem)
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