Consider the following normal distribution:1f(x) =exp[=1/2(x– µ)²lo²]Show that f(x) is a continuous probability distribution, that is, show that f(x)dx = 1.

Answered: Consider the following normal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X be b(2, p) (binomial distribution). Assume P(X > 1) = (a) Find p. (b) Compute P[X = 2]. %3D
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Q.7 For an exponential distribution fx(x; p) = (ue H, x20 %3D e. w. where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. E(X). (b) Standard deviation, i.e. S.D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizv

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Consider the following normal distribution: 1 f(x) = exp[-1/2(x– µ)²lơ²] Show that f(x) is a continuous probability distribution, that is, show that f(x) dx =1.