4[A machine produces bolts, and for each bolt there is a probability p of it being defective,results for different bolts being independent. A large batch of the machine's production isinspected by a customer in order to determine whether the batch should be purchased. In theinspection, 10 bolts are selected at random and examined: if none is defective the batch isaccepted, and if three or more are defective it is rejected. If only one or two are defective, afurther sample of 10 is selected, and the batch is accepted if, in total, there are no more thantwo defectives.(a) What is the probability of a decision being made at the first stage?(b) Find the probability that the batch is accepted (i) if p=0.05, (ii) if p=0.15.

Answered: Image /qna-images/answer/6e59a501-4313-402f-aec2-8c1ddea398a6.jpg

Answered: 4L A machine produces bolts, and for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A medical laboratory uses three machines (named M1, M2, and M3, respectively) to measure prostate-specific antigen (PSA) levels in selected blood samples from adult men; Elevated PSA levels have been associated with the presence of prostate cancer. Suppose the machine M1 has a 0.01 probability of giving an incorrect PSA level, that the M2 machine has a 0.02 probability of give an incorrect PSA level and the M3 machine has 0.03 probability of giving a PSA level incorrect. Also, suppose the M1 machine performs 20% of the PSA analyzes done by this lab doctor, that the M2 machine performs 50% of the PSA analyses, and that the M3 machine performs 30% of the PSA analyses. PSA (a) Find the probability that a PSA analysis performed by this medical laboratory is performed correctly. (b) Given that a given PSA analysis was performed incorrectly, what is the value of the probability of that this PSA analysis was performed by the M1 machine or by the M2 machine?
3. Light bulbs are made by three independent factories. The 1st plant delivered N1 = 30% of bulbs, the 2nd - N2 = 55% of bulbs, the 3rd - N3 = 15% of bulbs. The probability of manufacturing defect product at the first plant is P1 = 0.01, at the second - P2 = 0.015, at the third - P3 = 0.02. The store receives bulbs from all three factories. A random bulb is picked up for control and turns out to be defective. What is probability that it was produced by 2nd factory?
Suppose 21% of trees in a forest have severe leaf damage from air pollution. If 6 trees are selected atrandom,(a) find the probability that:i. exactly four of the selected trees have severe leaf damage; ii. no more than two of the selected have severe leaf damage;iii. exactly five of the selected trees do not have severe leaf damage;iv. at least five of the selected trees have severe leaf damage;v. less than two of the selected trees have severe leaf damage.(b) find the expected number of trees with severe leaf damage.
Two shipments (A and B) of blenders were inspected. Shipment A contains 50 blenders of which 5 are defective while shipment B contains 40 blenders of which 3 are defective. a. If 3 blenders are inspected at random (without replacement) from shipment A, what is the probability of obtaining at least 1 defective. b. Suppose a shipment is selected at random and one defective was found out of 2 blenders inspected. Find the probability that the shipment inspected was A.
In a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…
It is estimated that 60.5% of adults in Nevada have received at least one dose of the COVID-19 vaccine. Suppose 200 Nevada adults are randomly selected. Question #5: What is the probability of 100 or less adults received at least one dose?
suppose that a finished product is randomly selected. What is the probability that 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective. Now, In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and and 2% of the products made by each machine, respectively, it is defective?
An airplane has four engines. On a flight from NewYork to Paris, each engine has a 0.001 chance of failing. Theplane will crash if at any time two or fewer engines areworking properly. Assume that the failures of differentengines are independent.a What is the probability that the plane will crash?b Given that engine 1 will not fail during the flight,what is the probability that the plane will crash?
Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel a. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b. If two people are randomly selected, what is the probability that at least one of them has brown eyes?
18.18 Colors of M&Ms. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. a. Here are the probabilities of each color for a randomly chosen plain M&M produced at the New Jersey factory: Color: Blue Orange Green Yellow Red Brown Probability: 0.250 0.250 0.125 0.125 0.125 ? What must be the probability of drawing a brown candy? b. The probabilities for plain M&Ms produced at the Tennessee factory are a bit different. Here they are: Color: Blue Orange Green Yellow Red Brown Probability: 0.207 0.205 0.198 0.135 0.131 ? What is the probability that an M&M chosen at random from the Tennessee factory is brown? c. What is the probability that a plain M&M from the New Jersey factory is any of blue, yellow, or orange? What is the probability that a plain M&M from the Tennessee factory has one of these colors?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS