2. Suppose that f(x) = e * for 0< x. a. Determine x such that P(x < X) = 0.40 b. Determine x such that P(X s x) = 0.40

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A: (As per bartleby guideline for more than 3 subparts asked, Only 3 will be solved, please upload…

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A: Solution is given below..

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A: As per our guidelines we are suppose to answer first question.

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A: Let's find.

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A: No, there is no such example.

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Q: 1. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of (e0.001x f(x) = {…

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Q: 1. Show that for all f e L'(R) lim

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Q: Use L’Hôpital’s Rule to determine the comparative rates of increase of the functions f (x) = xm,…

A: limx→∞lnx3x=limx→∞3lnx2·1x1    By using L'Hospital's rule=limx→∞3lnx2x=limx→∞3·2lnx·1x1    By using…

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Q: Use L’Hôpital’s Rule to determine the comparative rates of increase of the functions f (x) = xm,…

A: Consider the limits:

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A: Solution

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Q: 1. If y = f(x) is a continuous function for all 0 <x< 6, and f(0) = 1 and f(6) = 7, then which of…

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Q: In (x + h) – In x (c) lim h→0

A: To find the limits  Here variable is h , so assume x as constant. 0/0 form , so use L-Hospital's…