Solution Found!
Refer to Exercise 3.115. Using the probability histogram,
Chapter 3, Problem 172E(choose chapter or problem)
Problem 172E
Refer to Exercise 3.115. Using the probability histogram, find the fraction of values in the population that fall within 2 standard deviations of the mean. Compare your result with that of Tchebysheff’s theorem.
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 172E
Refer to Exercise 3.115. Using the probability histogram, find the fraction of values in the population that fall within 2 standard deviations of the mean. Compare your result with that of Tchebysheff’s theorem.
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 172E
Step1 of 3:
Let us consider a random variable Y it presents the number of defectives observed.
Also we have:
P(0) = 0.2
P(1) = 0.6
P(2) = 0.2
We need to find the fraction of values in the population that fall within 2 standard deviations of the mean. And Compare this result with that of Tchebysheff’s theorem.
Step2 of 3:
Consider,