MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Topic Video
Question

PLEASE ANSWER PART D ONLY, THE OTHER PARTS ARE NOT REQUIRED.

Thank you.

A manufacturer creates and sells an electronic product that uses one resistor. The product will be defective if
its resistor has a resistance below 180 ohms. The manufacturer purchases 1,000 resistors from a new supplier.
The supplier claims that the average resistance of their resistors is 200 ohms with a standard deviation of 10
ohms.
a. The manufacturer decides to randomly sample n =
average resistance is really 200 ohms. If the estimated average resistance is below 190, the shipment
will be sent back. Assuming that the suppliers specifications are correct, what is the probability that
the shipment is sent back? (I.e. calculate P(X < 190).) Be sure to state any additional assumptions
that you make, if any, to arrive at your answer.
b. If the supplier's specification is true and the shipment of resistors is used by the manufacturer, what is
the probability that a created product will be defective? State any assumptions needed to arrive at
4 of the resistors from the batch to check that the
your answer.
c. Suppose 980 products end up being created and sold. What is the probability that more than 60
products are returned for being defective? Give an exact probability using the binomial distribution.
d. Repeat the calculation in (c), but this time use a normal approximation with a continuity correction. Is
the approximation close to the exact value?
expand button
Transcribed Image Text:A manufacturer creates and sells an electronic product that uses one resistor. The product will be defective if its resistor has a resistance below 180 ohms. The manufacturer purchases 1,000 resistors from a new supplier. The supplier claims that the average resistance of their resistors is 200 ohms with a standard deviation of 10 ohms. a. The manufacturer decides to randomly sample n = average resistance is really 200 ohms. If the estimated average resistance is below 190, the shipment will be sent back. Assuming that the suppliers specifications are correct, what is the probability that the shipment is sent back? (I.e. calculate P(X < 190).) Be sure to state any additional assumptions that you make, if any, to arrive at your answer. b. If the supplier's specification is true and the shipment of resistors is used by the manufacturer, what is the probability that a created product will be defective? State any assumptions needed to arrive at 4 of the resistors from the batch to check that the your answer. c. Suppose 980 products end up being created and sold. What is the probability that more than 60 products are returned for being defective? Give an exact probability using the binomial distribution. d. Repeat the calculation in (c), but this time use a normal approximation with a continuity correction. Is the approximation close to the exact value?
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman