Consider the distribution with the following probability mass function x 30 35 40 p(x) 0.2 0.3 0.5 Let X1, X2 be two independent random sample from this distribution, and T = X1 − X2. Compute the expected value and the standard deviation of X1. Compute the expected value and the standard deviation of T. Compute P[T = 5].

Consider the distribution with the following probability mass function x 30 35 40 p(x) 0.2 0.3 0.5 Let X1, X2 be two independent random sample from this distribution, and T = X1 − X2. Compute the expected value and the standard deviation of X1. Compute the expected value and the standard deviation of T. Compute P[T = 5].

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

8. Let X be a uniform random variable and P(X7)=0.15. Calculate the mean value and the variance. Find the probability P(X>6).
Let the random variable x have a normal distribution with a mean value of 70 and a varience of 25. Then find the probability that P (x<80)
A Poisson distribution with A = 7.4 and æ = 6. Use the probability distribution identified above to calculate the following: a. The probability P(x) for the indicated value of x. P (6) =| Round to 3 significant digits b. The mean and standard deviation of the distribution. Mean (и) SD (0) Round to 3 significant digits
A1
Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
Assume that the random variable X is normally distributed, with mean u = 50 and standard deviation o = 10. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(Xs 44) 44 50 44 50 44 50 P(Xs 44) = (Round to four decimal places as needed.)
Assume the random variable x is normally distributed with mean μ = 50 and standard deviation a=7. Find the indicated probability. P(x > 38) P(x>38) = (Round to four decimal places as needed.) XXXX
Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03
Give the answer for question 4
e this K 23-2....xlsx ^ Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 43, and a sample standard deviation of S₁ = 5, and you have an independent sample of n₂ = 16 from another population with a sample mean of X₂ = 31, and the sample standard deviation S₂ = 8. Construct a 90% confidence interval estimate of the population mean difference between ₁ and μ2. Assume that the two population variances are equal. ₁-₂ (Round to two decimal places as needed.) View an example Get more help. data-2_13_2023-2....xlsx ^ ... (0,0) Clear all More- Check answer Show all X ►
Which of the following statement is INCORRECT? If Y, follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom n, then nY/Y t distribution. If X1,.., Xn is a random sample from a normal population with population mean 1 and variance 1, then (X -1) + (X - 1 (X, - 1) follows a chi-square distribution with degrees of freedom n. If X,..., Xn is a random sample from a normal distribution with population mean 0 and a known variance o, then must follow a distribution, where X denotes the sample mean and S denotes the sample standard deviation. If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.