Given the random variable X has pdf f(x) = (3277)-0.5 expWhat is P(X> −4)0.6460.0670.4010.9330.354O No answer-(x+10)²32∞ ≤x≤ ∞0.

Answered: Image /qna-images/answer/0e5373fc-b776-4c87-a3ed-22684b750d32.jpg

Answered: Given the random variable X has pdf…

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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A box consists of 12 components, 5 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 6). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X = 5).
(8) A company produces X bulbs per day. If E(X) = 1000 and var (X) = 100, then P(900 < X < 1100) is at least: 100 (b) 1 900 O 100 900 (d) 99 100
1.Suppose that one word is to be selected at random from the sentence "THE GIRL PUT ON HER BEAUTIFUL RED HAT". If X denotes the number of letters in the word that is selected, (1) What is the value of E(X)? (2) What is the value of Var(X)?
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3 Let f(x)=(x-1)², g(x)=x², and E= {x:-8≤x≤8}. Find the inverse image (gof)¹(E).
Exercise 4.7 Calculate the system entropies where I is the binary erasure channel (BEC), introduced in §4.1, and the input probabilities of 0 and 1 are p and p. Show that this channel satisfies (4.9) and (4.10). H(BA) ≤H(B), H(AB) ≤ H(A), (4.9) (4.10)
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18a
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Given the random variable X has pdf f(x)=(327)-0.5 exp What is P(X>-4) O 0.646 0.067 0.401 0.933 0.354 O No answer 101² ). - ∞ : -(x+10)² 32 , -∞ ≤x≤ ∞.