Consider the following exponential probability density function.f(x)1_-x/5=-e-1-efor x ≥ 0(a) Write the formula for P(x ≤ xo).x05(b) Find P(x ≤ 2). (Round your answer to four decimal places.)0.3297(c) Find P(x ≥ 5). (Round your answer to four decimal places.)0.3679(d) Find P(x ≤ 7). (Round your answer to four decimal places.)0.7534(e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.)0.4237

The probability density function of a exponential distribution isf(x)=15e-x5 for x≥0

Answered: Consider the following exponential…

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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Consider the following exponential probability density function. 1 -x/4 f(x) = -e (a) Write the formula for P(x ≤ xo). for x ≥ 0 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) (c) Find P(x ≥ 4). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 5). (Round your answer to four decimal places.) (e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)
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4. eBook Consider the following exponential probability density function. Answered Correctly for x20 If needed, round your answer to four decimal digits. (a) Choose the correct formula for Px S xo). (i) P(z S z0) =1+e (H) P(zs zo) = 1- (i) P(z< z4) = 1+e/7 (iv) P(z S z0) =1-e/7 Option (iv) (b) Find P(x S 2). 0.9867 (c) Find P(x 2 3). (d) Find P(x S 5). (e) Find P(2 sxS 5).
Recall that the exponential probability density function is defined as 1 f(x) = — - e-2/A. е Suppose that the lifetime in hours of a certain lightbulb is exponential distributed with λ = 3000. Find the probability that a given lightbulb will last more than 7300 hours. P(X> 7300)

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Consider the following exponential probability density function. -x/5 f(x) = e for x ≥ 0 (a) Write the formula for P(x ≤ xo). x0 5 -1-e - (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3297 (c) Find P(x ≥ 5). (Round your answer to four decimal places.) 0.3679