Question

28. An order of 4000 parts is received. Let random variable X be a number of defective parts. X follows a binomial distribution with n 4000, p .005. Using the central limit theorem, [normal approximation) a) find the probabilities : P(18 <X <21), P (X > 21) b) find the probability that average number of defective parts in 36 randomly chosen parts exceeds 21. c) Why is it possible to apply central limit theorem to this problem? d) find h such that P (u-h <x <p + h)-.99 where μ-E[X]

please need a detailed answer! Thank you very much

0 0
Add a comment Improve this question Transcribed image text
Answer #1

(c) It is possible to apply the central limit theorem on this binomial distribution because the sample size is large (> 30) and np = 20 (> 10) and also, n(1-p) = 3980 (> 10).

0.00S dl 4. 4G 1.4L09 4 4 Co 0.261 (b 36 0.74 2 20th -Lo 4. 4609 4.46 09 44609 446 9 e 0.9 4 4 Co9 4.4609 2. 4.4602 0.99 +1 O.99 S 2

Add a comment
Know the answer?
Add Answer to:
please need a detailed answer! Thank you very much 28. An order of 4000 parts is...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • i need help with all parts. i will rate. thank you very much. The maximum value...

    i need help with all parts. i will rate. thank you very much. The maximum value of the function f(x,y) = xy on the line 4x+9y=36 is 8 9 O 10 O 18 Suppose u = (-5,3) and v=(8,1) Find || +v|| O-37 O 5 07 17 Consider the rectangular planar lamina R = {(x,y): 0<x<3,05y<2} with density p(x,y) = x² + y² has a mass of 0 24 O 25 O 26 O 27

  • PLEASE SHOW THE ANSWER OF (a)(b)(c) ? thank you Homework: Section 5.5 - Exercises Save 10...

    PLEASE SHOW THE ANSWER OF (a)(b)(c) ? thank you Homework: Section 5.5 - Exercises Save 10 of 13 (10 complete) v HW Score: 51.79%, 14.5 of 28 pts Score: 0.5 of 4 pts Xx) 5.5.19-T Question Help Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated...

  • Can someone please help me with my central limit theorem homework? Thank you much! 1. A...

    Can someone please help me with my central limit theorem homework? Thank you much! 1. A population has parameters μ=36.3 and 57.1. You intend to draw a random sample of size n=139. a. What is the mean of the distribution of sample means? μ¯x= _________________ b. What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σx¯=_______________ 2. A population of values has a normal distribution with μ=201.8μ=201.8 and σ=90.9σ=90.9. You intend...

  • Need help on all parts please and thank you! 19. (0/3.33 Points] DETAILS PREVIOUS ANSWERS ILLOWSKYINTROSTAT1...

    Need help on all parts please and thank you! 19. (0/3.33 Points] DETAILS PREVIOUS ANSWERS ILLOWSKYINTROSTAT1 7.HW.076. The attention span of a two-year-old is exponentially distributed with a mean of about 9 minutes. Suppose we randomly survey 60 two-year-olds. Parta) In words, define the random variable X. the attention span, in minutes, of all children O the attention span, in minutes, of a two-year-old child O the ages of the children with short attention spans O the number of two-year-old...

  • 4 The Sampling Distributions of Means and Proportions The Central Limit Theorem] Suggested Readin...

    4 The Sampling Distributions of Means and Proportions The Central Limit Theorem] Suggested Reading #6 (The Central Limit Theorem) 41 Ponder this and calculate: Consider all possible random samples of 5 in a class of 28 many different samples are there? Show your work (not as tedious as it appears) Note: Please continue to use the algebraic notation, as discussed in class, to obtain the answer e.9. Px<54) or P (x> 112)-1-P(x< 112)-1-Pizs ete. 4.2 A nurse supervisor has found...

  • Have to show work for every problem 4. A company uses three plants to produce a...

    Have to show work for every problem 4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...

  • please, could you give me answers? Thank you very much. Sorry that I sent a long question. I need to answer for all 1 a-d and 2 a-thanks again MATH 220 Review Questions for Final Özlem Orhan 4. Discre...

    please, could you give me answers? Thank you very much. Sorry that I sent a long question. I need to answer for all 1 a-d and 2 a-thanks again MATH 220 Review Questions for Final Özlem Orhan 4. Discrete random variables X and Y have the following joint probal bution f(x,y) | x-0 | x 1 y-0 0.1 0 y=1 | 0.1 | 0.1 y=2 | 0.1 | 0.2 y-310 10.4 (a) Compute the correlation coefficient pry (b) Compute the...

  • 7. r in During a major disaster, for example, a humicane, wrthquake is very important to...

    7. r in During a major disaster, for example, a humicane, wrthquake is very important to have tems on hand in a recent survey, only 40% of Americans had a three-day supply of b Suppose a sample of 20 Americans is selected at random. Let X be the number of day supply of bored water on hand com e g whethe household ency r Does the random variable have a binomial distribution not why not? What artthew of n and...

  • need some assistance with this please. thank you very much 1. Free radicals are __________ ....

    need some assistance with this please. thank you very much 1. Free radicals are __________ . (A) molecules that have lost an electron (C) molecules with extra neutrons (B) escaped political prisoners (D) produced by vitamins 2. The chromosomal location of the APC gene was originally identified by finding a region of the genome that was _________ in patients with colorectal cancer. (A) deleted (B) rearranged (C) normal (D) unclear 3. The National Health Service of the United Kingdom (Britain)...

  • question 9 from A to F 9. (5 points) Please answer the following questions about the...

    question 9 from A to F 9. (5 points) Please answer the following questions about the function fr) - 21² f(x) = 2.9 al num- increas- for the Instructions: . If you are asked for a function, enter a function. - If you are asked to find X- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. . If you are asked to find an interval or union...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT