7. A supplier ships a lot of 1000 electrical connectors. A sample of 25 is selected at random,without replacement. Assume the lot contains 100 defective connectors.(a) Using a binomial approximation, what is the probability that there are no defectiveconnectors in the sample?(b) Use the normal approximation to answer the result in part (a). Is the approximationsatisfactory?(c) Redo parts (a) and (b) assuming the lot size is 500. Is the normal approximation to theprobability that there are no defective connectors in the sample satisfactory in this case?

Answered: Image /qna-images/answer/0d51f278-6548-4f88-979b-eaee20befd3d.jpg

Answered: 7. A supplier ships a lot of 1000…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

30 - It is known that the probability of winning the matches played by Galatasaray Professional Football Team is 8/10. Find the variance in winning this team's 10 matches.A) 1.1 B) 1,2 C) 1.6 D) 1.8 E) 1.4
In studies for a medication, 12 percent of patients gained weight as a side effect. Suppose 530 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 64 patients will gain weight as a side effect. (b) no more than 64 patients will gain weight as a side effect. (c) at least 75 patients will gain weight as a side effect. What does this result suggest?
2) A particular NBA player is a career 59% field goal shooter. If he takes 50 shots, find: a) the probability he makes at most 30 using the normal approximation to the binomial. b) the probability he makes exactly 28 using the normal approximation to the binomial.
6. DETAILS c) What is the probability that X = 31? It is known that 41% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=70 new freshmen at State University. Let X = the number of these sampled freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 29? b) What is the probability that 28 ≤ x ≤ 31? d) What is the expected value of X? e) What is the variance of X? MY NOTES f) Copy your R script for the above into the text box here. ASK YOUR TEACHER
In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 565 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 40 patients will gain weight as a side effect. (b) no more than 40 patients will gain weight as a side effect. (c) at least 51 patients will gain weight as a side effect. What does this result suggest? (a) P(40) = (Round to four decimal places as needed) (b) P(X< 40) = (Round to four decimal places as needed) (c) P(X251) = (Round to four decimal places as needed) Since 51 is than 7% of the patients, this suggests that the proportion of patients that gain weight as a side effect is 0.07.
3. A manufacturer of computer chips produces 10% defective chips. 200 chips are randomly selected from a large production amount. What is the probability that fewer than 15 are defective? (Use the normal approximation to the binomial distribution, with the continuity correction)
19 -It is known that the probability of winning Galatasaray Professional Football Team in matches is 8/10. Find the variance this team wins out of 10 matches it plays.A)1.1 B)1.4 C)1.8 D)1.6 TO)1,2
Use the normal approximation to the binomial to calculate the probability of getting more than 39 defectives in a random sample of 400 taken from a population which is 8% defective.
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?
8) Transportation officials tell us that 80% of drivers wear seat belts while driving. Use normal approximation to the binomial distribution with continuity correction to find the probability that between 656 and 665 (inclusive) drivers in a sample of 850 drivers wear seat belts? A) 0,078 B) 0.089 C) 0.107 D) 0.886

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS