The time \( X \) (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with \( A = 25 \) and \( B = 35 \).(a) Determine the pdf of \( X \).\[ f(x) = \begin{cases} 0.1, & 25 \leq x \leq 35 \\ 0, & \text{otherwise} \end{cases}\]Sketch the corresponding density curve.- The graph of \( f(x) \) is a horizontal line at \( f(x) = 0.1 \) between \( x = 25 \) and \( x = 35 \).- The line drops to \( 0 \) outside this interval.(b) What is the probability that preparation time exceeds 29 min?(c) What is the probability that preparation time is within 2 min of the mean time? [Hint: Identify \( \mu \) from the graph of \( f_X \).](d) For any \( a \) such that \( 25 < a < a + 2 < 35 \), what is the probability that preparation time is between \( a \) and \( a + 2 \) min?

Answered: The time X (min) for a lab assistant to…

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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Find the average rate of change of k(q) = 1. on the interval between q = 1 and q = 3. 2-q- +3
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3. Joint distribution for continuous X, Y. Let X1, X2 denote two independent exponential r.v.'s with X; ~ Exp(1). Let X1 %3D X1 + X2 Find fy(y). Hint: recall the pdf for an exponential r.v., f(x) = de-x.
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13 Let X be the standard normal distribution and consider the transformation given by Y = 1/X. Select all answers that apply. Select all answers that apply. Note exp(z) = e^z %D %3D Choose all that apply. O The density of Y is: g(y) = (1/2*pi)^(1/2) * (1/y^2)*exp(-1/(2y^2)) The density of Y is: g(y) = (1/2*pi)^(1/2) *exp(-1/(2y^2)) The values of y for which the density is non zero is y0. The values of y for which the density is non zero is y>0. %3D
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A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.1. (Round your answers to two decimal places.)
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