3. Margarete, an experienced knitter, makes one wrong stitch in every 197 stitches, on average. To judge the quality of her work, suppose we examine a simple random sample of 1000 stitches. Let X be the number of wrong stitches in a sample of size 1000.(a) Explain any additional assumptions needed to justify using a binomial distribution as a probability model for the random variable X.(b) Compute the probability that there will be no more than two wrong stitches in the sample examined. Round your answer to three decimal places.(c) Find the mean and standard deviation for the random variable X.Enter your answer for question 3(b)Enter the probability, rounded to three decimal places.Enter your answer for question 3(c)The parameters for the random variable X aremean ?μ = _________; andstandard deviation ?σ = ___________.Type your answer in the form Enter your answer for question 3(c) on the final exam PDF.The parameters for the random variable X aremean u:---; and• standard deviation o =Type your answer in the formµ, o 3. Margarete, an experienced knitter, makes one wrong stitch in every 197 stitches, on average. To judge thequality of her work, suppose we examine a simple random sample of 1000 stitches. Let X be the number ofwrong stitches in a sample of size 1000.(a) Explain any additional assumptions needed to justify using a binomial distribution as a probability modelfor the random variable X.(b) Compute the probability that there will be no more than two wrong stitches in the sample examined.Round your answer to three decimal places.(c) Find the mean and standard deviation for the random variable X.

Binomial distribution: The binomial distribution is discovered by the statistician James Bernoulli.…

Answered: 3. Margarete, an experienced knitter,…

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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3. Margarete, an experienced knitter, makes one wrong stitch in every 197 stitches, on average. To judge the quality of her work, suppose we examine a simple random sample of 1000 stitches. Let X be the number of wrong stitches in a sample of size 1000.

(a) Explain any additional assumptions needed to justify using a binomial distribution as a probability model for the random variable X.

(b) Compute the probability that there will be no more than two wrong stitches in the sample examined. Round your answer to three decimal places.

Enter your answer for question 3(b)

Enter the probability, rounded to three decimal places.

Enter your answer for question 3(c)

The parameters for the random variable X are

mean ?μ = _________; and
standard deviation ?σ = ___________.

Type your answer in the form

Enter your answer for question 3(c) on the final exam PDF.
The parameters for the random variable X are
mean u:
---; and
• standard deviation o =
Type your answer in the form
µ, o

3. Margarete, an experienced knitter, makes one wrong stitch in every 197 stitches, on average. To judge the
quality of her work, suppose we examine a simple random sample of 1000 stitches. Let X be the number of
wrong stitches in a sample of size 1000.
(a) Explain any additional assumptions needed to justify using a binomial distribution as a probability model
for the random variable X.
(b) Compute the probability that there will be no more than two wrong stitches in the sample examined.
Round your answer to three decimal places.
(c) Find the mean and standard deviation for the random variable X.

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