Question 5Let X1 and X, be random sample of normal distribution with mean 1 and 2 and variance 3 and 5respectively. What is the moment generating function of Y:3X1 + 2X2? Note that in theanswers below exp(x) = e® the exponential function with argument x.exp(7t + 23.5*(t^2))exp(7t + 19*(t^2))exp(7t + 47*(t^2))exp(7t + 9.5*(t^2))

Answered: Question 5 Let X1 and X2 be random…

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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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)
Hello, I need a little help with how to find the Deviation from Mean with attached information for capacitors in series and parallel. Thank you.
Question 2 Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 8.4 years and a standard deviation of 0.8 years. Find the probability that a randomly selected DVD player will have a replacement time less than 6.1 years? P(X < 6.1 years) = Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If the company wants to provide a warranty so that only 3.3% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty? warranty = years Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Submit Question F7 F8 F9 F10 F1 F4 F5 F6 & 7 8. R Y 立
A standardized exam’s score are normally distributed. In a recent year, the mean test score was 1477 and the standard was 315. The test scores of four students selected at random 1860 1230, 2160, and 1360. Find the Z- score that correspond to each value and determine wether any of the values are unusual. The Z-score for 1860 is-The Z-score for 1230 is-The Z-score for 2160 is-The Z-score for 1360is-
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Suppose a random variable X has the following pdf. The random variable X has a Beta distribution with α = 3 and β = 2. Suppose we wanted to determine Var( 10X - 3 ). By the rules for variances, Var( 10X - 3 ) = * Var(X) + where, using the fact that X has a Beta distribution, Var(X) = Express answer as a decimal. Do not round.
DCX Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Letting the time unit be one minute, (a) Calculate the mean flight time (x) and the standard deviation (ax) of the flight time. (Round your answers to 4 decimal places.) ux OX (b) Find the probability that the flight time will be within one standard deviation of the mean. (Round your answer to 5 decimal places.) P = 18 Fo MAR LO 5 li Ⓒ A WD Show
Question 5 Find the 82 -th percentile for a uniform random variable U with the lower limit 17 and the upper limit 21. The 82 -th percentile for U is (Round the answer to 2 decimal places)
Question 14 of 20 - / 1 View Policies Current Attempt in Progress In a given year, the average score on the Mathematics portion of the ACT for males was 21.3 with standard deviation 5.3. The average score on the Mathematics portion of the ACT for females was 20.2 with standard deviation 4.8. If random samples are taken with 120 males and 105 females, find the standard error of the distribution of differences in sample means, Xm - Xf, where Im and f represent the sample means for males and females, respectively. Report your standard error with four decimal places. i Save for Later Attempts: 0 of 1 used Submit Answer MacBook Air DII 80 FS F6 F7 F2 F1 # $ % & @ 8. 1 2 3 4 Q W E R T Y H J K A S F M C V Comma **
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