9. Assume that X has an exponential distribution. If Var (4-4)=20. Then E(X) isa. 20b.0c. 5d. 10e. None10. The variable X has a uniform distribution and

Given that X has exponential distribution Var( 4 - (x/√5) ) = 20

Answered: Assume that X has an exponential…

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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Answer number 2 only.
Areas under normal distribution curves can be used calculate probabilities of many random variables in the natural and social sciences. The graph of the Standard Normal Curve, with a mean of 0 and a standard deviation of 1 is given below, and its function is given by 1 f(x) = √2T e 1 The integral of e dx would be used to calculate the probability of an event that occurs √2T -1.5 between -1.5 to 1.5 standard deviations from the mean. (-1.5, 0.13) 1 Unfortunately, √2π -1.5 methods to approximate the values. 1.5 -1.5 1.5 (-1, 0.24) Using Simpson's Rule, (-0.5, 0.35) e dx has no proper closed form antiderivative, so we must use numerical 1.5 -1.5 1-0.5 -0-2 Using the Midpoint Rule with three rectangles of equal width, dx 0 Using the Trapezoidal Rule with six trapezoids of equal width, (0, 0.4) 0.5 Round answers to 4 decimal places when appropriate. (0.5, 0.35) (1, 0.24) 1.5 Ibe 1.5 1.5 [ 13 e-t de = \ е 1.5 e-2 е dx (1.5, 0.13)
Please explain:Use your calculator to calculate the following. (P(X > 7), X has an F-distribution with 5 numerator df and 10 denominator df. P(3 < X < 15), X has an F-distribution with 5 numerator df and 10 denominator df.
Suppose X has an exponential distribution with mean equal to 12. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X > 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.) (d) Find the value of x such that P(X
Show all work. Do not reuse a former solution.
Suppose that X has a Weibull distribution with ß = 0.3 and 5 = 100 hours. Determine the following. Round the answers to 3 decimal places. (a) P (X 5000) = i
Suppose that X follows a lognormal distribution with w^2=4 and E(X)=10,000 a. Find the parameter theta for the distribution. Use 4 digits after the decimal point: b. Find the standard deviation of the process: Use 4 digits after the decimal point:
d. 6 e. None 8. Let X have a negative binomial distribution with r and P-0.6. If the mean of X is 5 then r equal a. 1.8 b. 0.83 c. 3 d. 9 e. None 10. The variable X has a uniform distribution on th 2113 Assume that X has an exponential distribution. If Var (4-)=20. Then E(X) is b.0 a. 20 0.5 d. 10 e. None
let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).
Can you help with part b without using Chebyshev's theorem
Prob.5 Find the mean, the median, and the mode of the random variable X with the following probability density functions: (a) Gaussian distribution with parameters μ and o². (b) Exponential distribution with parameter 1. (c) Beta distribution with a = 3 and b = 4. (d) Uniform distribution in the interval (a, b).
he distribution of the number of imperfections per 10 meters of synthetic fabric is given by the following function, If cost of this defect is given by the following equation g(x)-1/100 (x^2+2x+10), what is the ?expected cost 2 3 4. f(x) 0.41 0.37 0.16 0.05 0.01

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Assume that X has an exponential distribution. If Var (4-)=20. Then E(X) is b.0 c. 5 d. 10 e. None 10. The variable X has a uniform distribution on a