5.3.6. What "confidence" would be associated with eachof the following intervals? Assume that the random vari-able Y is normally distributed and that σ is known.(a) (-1.64 +2.33.)(b) (-∞, +2.58.)y(c) ( − 1.64)

Step 1: Identify how to find the confidence Recall that:z∗⋅nσ wherez* is the z-scoreσ/√n is the…

Answered: 5.3.6. What "confidence" would be…

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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Q#4. Let X have a binomial distribution with 07 and p = Determine P(X = 1), P(X=;), P(X = 3), P(X = 6) and P(X < 2). %3D Note: Where R is the last digit of your registration number Solution#4 (to be typed here by the student)
Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is
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6.4.5-T Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. The probability is 0.6255. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.)
NT #3 For each of the following, answer whether the distribution of X is necessarily normally distributed (YES) or not (NO), and briefly explain why. a) X = the sample mean age for random samples of size n = 50 from the population of New Yorkers of non-working age (defined as below 18 or above 64). b) X = the sample mean age for random samples of size n = 10 from the population of New Yorkers of non-working age (defined as below 18 or above 64). c) X = the sample mean age for random samples of size n = 10 from a population of individuals whose ages are known to be normally distributed.
7.2.3. X is the continuous uniform (-5, 5) random variable. Given the event B = {|X| < 3}, find the (a) conditional PDF, fx|B(x), (b) conditional expected value, E[X|B], (c) conditional variance, Var[X|B].
|(b) A computer systemin a company has average breakdown is 6 times per month find the probability that more than 4 break down in January 5 to February 20. Q3. (a) A certain machine makes electrical resistors having a mean resistance of 40 ohm and a standard deviation of 4 ohms. Assuming that the resistance follows a nomal distribution and can be measured to any degree of accuracy, the resistors are acceptable only if fallow the specification which is 30 ohmto 50 ohm. (1) What percentage of resistors will go to scrap? (ii) Find the probability that a resister has more than 50 ohmresistance.
4.2 The probability distribution of the discrete random variable X is f(x) = 3 (*)*** Find the mean of X. 3-x (¹)ª (²³)³—ª, x = 0, 1, 2, 3.
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t3 solve both please
11.1.13 Construct a confidence interval for p, - P2 at the given level of confidence. X1 = 375, n, = 505, x2 = 436, n2 = 586, 99% confidence The researchers are % confident the difference between the two population proportions, p1 -P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)
5.2.1 The conditional probability distribution of Y given X = x is fy.0) = xe-y for y> 0, and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10. a. Graph fyv) = xe¬w for y > 0 for several values of x. Determine: b. P(Y < 2|X = 2) d. E(Y |X = x) f. fr(y) c. E(Y | X = 2) e. fxy(x, y)

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5.3.6. What "confidence" would be associated with each of the following intervals? Assume that the random vari- able Y is normally distributed and that σ is known. (a) (-1.64 +2.33.) (b) (-∞, +2.58.) y (c) ( − 1.64)