![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]](http://img.homeworklib.com/questions/48af2460-4239-11ea-994b-15fea6a748c8.png?x-oss-process=image/resize,w_560)
please need a detailed answer! Thank you very much
Homework Answers
(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).
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please need a detailed answer! Thank you very much 28. An order of 4000 parts is...
Part D. In a communication system each data packet consists of 4000 bits. Each bit may...
Part D. In a communication system each data packet consists of 4000 bits. Each bit may be received in error with probability p 0.1, due to noise. It is assumed that bit errors occur independently. Let us denote N as the number of errors in one data packet. 18. Determine EN] b. 100 ?. 400 d. 1000 e. 4000 19. Determine Var[N] a. 0.01 b. 360 c. 1000 d. 1600 e. 160,000 20. Use the central limit theorem to find...
Please answer all parts and show all steps Problem 6 Suppose X1, ..., Xn-f() independently, and...
Please answer all parts and show all steps
Problem 6 Suppose X1, ..., Xn-f() independently, and suppose E(X;) = , and Var(Xi) = OP. Let * = $x. (1) Calculate E(X) and Var(X). (2) Let Z = (X - x)/(o/vn). What are E(Z) and Var(Z)? (3) Explain the weak law of large number and the central limit theorem in terms of X and Z. (4) Explain (3) geometrically for uniform f(x). (5) If X; -Bernoulli(p), then what is the concrete...
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...
i need help with all parts. i will rate. thank you very much. Let C be...
i need help with all parts. i will rate.
thank you very much.
Let C be the closed curve consisting of two pieces. One piece is the upper-half circle of radius 3, centered at the origin, oriented counter-clockwise. The other piece is the horizontal line segment from (-3,0) to (3,0). Evaluate the line integral $ (x2 + y2)dx + (6xy—y?)dy = с (-3,0) (3,0) O 36 O 72 O 31 91/2 The level set of f(x,y) = 12 is a...
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...
Due Mon 0vn MA 120 Basic Statistics Homework Assignment 2 PLEASE SHOW ALL WORK ON SEPARATE...
Due Mon 0vn MA 120 Basic Statistics Homework Assignment 2 PLEASE SHOW ALL WORK ON SEPARATE PAPER. Do your own work. Pollow instructions. Point values are in parentheses 1, suppo sex is binomial with n 25, p - 0.38. (5) (a) Calculate P(x12) (10) (b) Calculate P (9 x 11) c) For this binomial distribution, calculate the mean , variance and standard deviation (5) 2. On the SAT test, clyde klutz achieved a score of 387. The national mean for...
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...
Part D. In a communication system each data packet consists of 4000 bits. Each bit may be received in error with probability p 0.1, due to noise. It is assumed that bit errors occur independently. Let us denote N as the number of errors in one data packet. 18. Determine EN] b. 100 ?. 400 d. 1000 e. 4000 19. Determine Var[N] a. 0.01 b. 360 c. 1000 d. 1600 e. 160,000 20. Use the central limit theorem to find...
Please answer all parts and show all steps
Problem 6 Suppose X1, ..., Xn-f() independently, and suppose E(X;) = , and Var(Xi) = OP. Let * = $x. (1) Calculate E(X) and Var(X). (2) Let Z = (X - x)/(o/vn). What are E(Z) and Var(Z)? (3) Explain the weak law of large number and the central limit theorem in terms of X and Z. (4) Explain (3) geometrically for uniform f(x). (5) If X; -Bernoulli(p), then what is the concrete...
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 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...
i need help with all parts. i will rate.
thank you very much.
Let C be the closed curve consisting of two pieces. One piece is the upper-half circle of radius 3, centered at the origin, oriented counter-clockwise. The other piece is the horizontal line segment from (-3,0) to (3,0). Evaluate the line integral $ (x2 + y2)dx + (6xy—y?)dy = с (-3,0) (3,0) O 36 O 72 O 31 91/2 The level set of f(x,y) = 12 is a...
Due Mon 0vn MA 120 Basic Statistics Homework Assignment 2 PLEASE SHOW ALL WORK ON SEPARATE PAPER. Do your own work. Pollow instructions. Point values are in parentheses 1, suppo sex is binomial with n 25, p - 0.38. (5) (a) Calculate P(x12) (10) (b) Calculate P (9 x 11) c) For this binomial distribution, calculate the mean , variance and standard deviation (5) 2. On the SAT test, clyde klutz achieved a score of 387. The national mean for...
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 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 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...
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