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...

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Suppose the number of cars in a household has a binomial distributionwith parameters n = 8, and p = 20 %.Find the probability of a household having:(a) 1 or 5 cars (b) 3 or fewer cars (c) 1 or more cars (d) fewer than 5 cars (e) more than 3 cars
Suppose 500 people audition for admission to a dance school. Each dancer in one half of the group will be admitted with probability 0.07, while each dancer in the other half of the group will be admitted with probability 0.04. Let X be the total number of dancers admitted. (Notice that X is the sum of two binomial variables). (a) Find the mean and variance of X. (b) Use normal approximations to binomial random variables to approximate (i) the probability that more than 30 dancers are admitted. (ii) the probability that at least 20 dancers are admitted.
16) A company randomly tests 30 components out of a batch of 10,000 to see if the components are defective. The rate of defectives in the past was known to be 0.02. Does this situation result in a binomial distribution? Yes or No (circle one) In your own words explain how this situation does or does not meet each of the 4 criteria required for all binomial distributions. 1. 2. 3. 4.
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.
İs it true ore false?
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
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

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