Consider a binomial experiment with n = 12 and p = 0.5.a. Compute f(0) (to 4 decimals).f(0) =|b. Compute f(2) (to 4 decimals).f(2) =|c. Compute P(x < 4) (to 4 decimals).P(x < 4) =|d. Compute P(x > 1) (to 4 decimals).P(x > 1) =e. Compute E(r) (to 1 decimal).E(x) =f. Compute Var(x) and o.Var(æ) =(to 2 decimals)O =(to 2 decimals)

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Answered: Consider a binomial experiment with n =…

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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In a certain state the proportion of families living below the poverty level is 21 %. For samples of n = 750 randomly selected families, what is the probability that the sample proportion of families that live below the poverty level is within ±0.03 from the population proportion? z= (p-π)/√(π(1-π)/n) I got an answer of 0.9566. I am not sure if it's right. Can the problem be worked out so I can better understand it?
Consider a binomial experiment with n = 14 and p = 0.5. a. Compute f(0) (to 4 decimals). f(0) = b. Compute f(3) (to 4 decimals). f(3) = %3D c. Compute P(r 4) = e. Compute E(x) (to 1 decimal). E(r) = f. Compute Var(z) and o. Var(x) = (to 2 decimals) (to 2 decimals)
When a population is finite, the formula that determines the standard error of the mean needs to be adjusted. If N is the size of the population and n is the size of the sample (where n ≥ 0.05N), the standard error of the mean is shown below. The finite population correction factor is given by the expression √(N-n)/(N-1). Determine the finite population correction factor for each of the following. (a) N = 1400 and n = 1050 (b) N = 1400 and n = 140 (d) N = 1400 and n = 70 (c) N = 1400 and n = 75 (e) What happens to the finite population correction factor as the sample size n decreases but the population size N remains the same? (a) The finite population correction factor is (Round to three decimal places as needed.) (b) The finite population correction factor is (Round to three decimal places as needed.) (c) The finite population correction factor is (Round to three decimal places as needed.) (d) The finite population correction factor is (Round to three decimal places as needed.) (e)…
Consider a binomial experiment with n = 14 and p = 0.3. a. Compute f(0) (to 4 decimals). f(0) = b. Compute f(5) (to 4 decimals). f(5) = c. Compute P(x 2) (to 4 decimals). P(x > 2) = e. Compute E(x) (to 1 decimal). E(x) = f. Compute Var(x) and o. Var(x) = (to 2 decimals) O = (to 2 decimals)
If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.46
1a) Use Matlab to compute and simulate the roots of the following function;(i) 5x4+21x2−14x+30=0(ii) x4−4=0 b). It is known that only 60% of a defected computer can berepaired. A sample of 8 computers is selected randomly, findthe probability that;(i) At most 3 computers can be repaired.(ii) 5 or less can be repaired(iii) None can be repairedBased on your output for these, how will you have advised after a critical analysis from your output.
A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale: 1=Pain is much worse, 2=Pain is slightly worse, 3= No change, 4=Pain improved slightly, 5=Pain much improved. Is there a significant difference in self-reported improvement in pain? Use the Mann-Whitney U test with a 5% level of significance. Please show work. New Drug: 4 5 3 3 4 2 Standard Drug: 2 3 4 1 2 3
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For Numbers 4 and 5: Dr. Kae Dee, a resident cardiologist who intends to specialize in vascular medicine, wants to verify a claim from a study which states that chronic venous insufficiency affects about 1 in 20 adults. She obtained records from 40 randomly selected hospitals from municipalities with relatively similar population sizes and obtained the number of reported chronic venous insufficiency cases. Let X be the number of reported chronic venous insufficiency cases. 4. Which of the following is(are) TRUE? 1. X is a discrete random variable with possible values x = {0, 1, 2, 3, ..., 40) II. The sum of probabilities of all values of X is 1. A. I only 5. Presented below is the probability distribution table from Dr. Kae Dee's study. X=x P[X=x] A. 1.00 B. II only 19 0.22 20 0.38 B. 4.10 C. Both I and II 21 0.11 The expected number reported chronic venous insufficiency cases is 22 C. 20.57 D. Neither I nor II 23 0.10 on the average. D. 105
(d) If X1,X2, ...,X, N(u, o²), and we use X as the point estimate u of the mean u, then (1) P{X = µ} = 1; (ii) P{X < A) = }: (iii) E(X) = µ; (iv) in approximately 95% of samples drawn, X will equal µ.
Consider a binomial experiment with n=8 and p=0.5 . a. Compute f (0) (to 4 decimals). b. Compute (4) (to 4 decimals). c. Compute (x less than or equal 1 ) (to 4 decimals). d. Compute (x greater or equal 2 ) (to 4 decimals). e. Compute E(x) (to 1 decimal). f. Compute Var(x) and σ . (to 2 decimals) (to 2 decimals)
2. Find E(X) and Var(X) if a. P(X = 0) = 0.2, P(X = 1) = 0.3, and P(X = 2) = 0.5. b. X is the number of successes in 200 Bernoulli trials each with probability of success 0.7.

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Consider a binomial experiment with n = 12 and p = 0.5. a. Compute f(0) (to 4 decimals). f(0) =| b. Compute f(2) (to 4 decimals). f(2) =| c. Compute P(x < 4) (to 4 decimals). P(x < 4) = [ d. Compute P(x > 1) (to 4 decimals). P(x > 1) = [ e. Compute E(x) (to 1 decimal).