A production line manufactures 1000-ohm resistors that have 10% tolerance. Let X denotes the resistance of the resistor. Assuming that X is a Gaussian random variable with mean 1000 and variance 2500, find the probability that a resistor picked at random is rejected. (An answer in terms of function Φ?(?) is OK.)

A production line manufactures 1000-ohm resistors that have 10% tolerance. Let X denotes the resistance of the resistor. Assuming that X is a Gaussian random variable with mean 1000 and variance 2500, find the probability that a resistor picked at random is rejected. (An answer in terms of function Φ?(?) is OK.)

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

Let X be a random variable with mean H and standard deviation o. What is E[X²]?
Let X1, X2, and X3 be uncorrelated RVs each with the same mean, µ, and variance, o?. Find expressions for the following in terms of the mean and variance: 1. Cov(X1 + X2, X, + X3). 2. Cov(X1 + X2, X – X2).
A random sample is obtained from a population with a mean of µ 20. After a treatment is administered to the individuals in the sample, the sample mean is M = 21.3 with a variance of s2 = 9.
hoosing among several different estimators of 0, select one that is unbiased. Example 9.3: Let X₁, X2, ..., Xn be a random sample from a population mean and variance o². Show that the sample variance, - Σ(x₁ - x)² = n-1 is an unbiased estimator of o². 5²
6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15
Compute E(310) for the following model, where & wn(0, 0.16), i.e., a white noise process with mean zero and variance 0.16. Please give the exact answer. 1 Me=Mt-2+ Ct, 30 = 1.
2. The random variable X is the amount of fructose in apples (in ounces) grown at a local orchard and is represented by the following cdf: 2(x +), 1
Bapu