4.1 The probability distribution of X, the number ofimperfections per 10 meters of a synthetic fabric in con-tinuous rolls of uniform width, is given in Exercise 3.13on page 92 as1234f(x) | 0.41 0.37 0.16 0.05 0.01Find the average number of imperfections per 10 me-ters of this fabric.

Probability distribution of a random variable gives the probability at each possible value of the…

Answered: 4.1 The probability distribution of X,…

MATLAB: An Introduction with Applications

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Publisher:Amos Gilat

Chapter1: Starting With Matlab

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1.2 Determine the probability density function, mean, variance, median and quartiles of the extreme value distribution with, P(X ≤x) = 1- exp{-e(x-μ)/"} What kind of distribution is this? 3
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The pressure of air (in MPa) entering a compressor is measured to be X = 8.5 ± 0.2, and the pressure of the air leaving the compressor is measured to be Y = 21.2 ± 0.3. The intermediate pressure is therefore measured to be P = √XY = 13.42 . Assume that X and Y come from normal populations and are unbiased. a) From what distributions is it appropriate to simulate values X* and Y*? b) Generate simulated samples of values X*, Y*, and P*. c) Use the simulated sample to estimate the standard deviation of P. d) Construct a normal probability plot for the values P*. Is it reasonable to assume that P is approximately normally distributed? e) If appropriate, use the normal curve to find a 95% confidence interval for the intermediate pressure.
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score μ=19.7 σ=5.4 28<x<33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 1 to 39 with tick marks at 6, 28, and 33. A normal curve labeled μ = 19.7 σ = 5.4 is centered above the x-axis at 19.7. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four decimal places as needed.)
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4.1 The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in con- tinuous rolls of uniform width, is given in Exercise 3.13 on page 92 as 1 2 3 4 f(x) Find the average number of imperfections per 10 me- ters of this fabric. 0.41 0.37 0.16 0.05 0.01