A manufacturing company takes a random sample of n = 100 bolts from their production line. X is the numberof bolts that are found defective in the sample. It is known that the probability of a bolt being defective is0.003.Does X have a binomial distribution?O Yes.No, because the probability of success for each trial is not the same.No, because the trials are not all independent.No, because there is not a fixed number of trials.No, because there are more than two possible outcomes for each trial.

Answered: Image /qna-images/answer/dcbedf2d-e22e-4688-8103-787ba7efb884.jpg

Answered: A manufacturing company takes a random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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On average 2.5 faulty reports are made to a company’s switchboard per day.i. Name the random variable present in this problem and state its distribution. [2] Calculate the probability thatii. FOUR faulty reports will be made on Monday [2]iii. Less than 3 faulty reports in a 5-day work week
Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. It is known that 82% of all the orders it receives from its customers are delivered on time. Let the proportion of orders in a random sample of 100 that are delivered on time. Find the probability that the value of hat p will be less than 0.87 .
A company surveyed 2,600 North American airline passengers and reported that approximately 65% said that they carry a smartphone when they travel. Suppose that the actual percentage is 65%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with n = 6 and p = 0.65. (Use SALT. Round your answers to four decimal places.) (a) Calculate p(4). Interpret this probability. the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain at most 4 passengers who travel with a smartphone the probability that a random sample of 6 passengers will contain exactly 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain more than 4 passengers who travel…
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A business calculates that 60% of its suppliers are UK-based. Every month it randomly selects 8 of its suppliers and checks their compliance with money-laundering legislation. It defines the random variable X to represent how many of the 8 selected supplie are UK-based. This scenario is modelled with a Binomial distribution denoted X- Bin(n, p). (a) State the value of n (b) State the value of p, writing your answer as a decimal to 1 decimal place. (c) How many combinations of 5 UK-based suppliers are possible within the set of 8 suppliers selected for the compliance checks? (d) Calculate the probability that there are exactly 5 UK-based suppliers within the set of 8 suppliers selected for the compliance checks. Answer to 2 decimal places.
very morning, Laura practices shooting basketball free throws. She doesn’t shoot a fixed amount, instead she keeps shooting free throws until she makes 12. Suppose Laura is an 82% free throw shooter. Let X be how many free throws Laura will miss tomorrow morning. Then X has a negative binomial distribution. What is a trial? What is a success? How many successes are required? r = What is the success probability? p =
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A company surveyed 2,600 North American airline passengers and reported that approximately 70% said that they carry a smartphone when they travel. Suppose that the actual percentage is 70%. Consider randomly selecting ten passengers and define the random variable x to be the number of the ten selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with n = 10 and p = 0.7. (Round your answers to three decimal places.) (a) Calculate p(8). p(8) = (b) Calculate P(x ≤ 6). P(x ≤ 6) = (c) Calculate the probability that more than half of the selected passengers travel with a smartphone.
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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?

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