Roughly, speaking, we can use probability density functions to model the likelihood of anevent occurring. Formally, a probability density function on (-0, 0) is a function ƒ suchthatf(x) > 0and| f(x) = 1.(a) Determine which of the following functions are probability density functions on the(-0, 00).0 < x < e(i) f(x) =otherwise-20 < x < 2/2(ii) ƒ(x) =(x – /2)3otherwisededx 0 0(b) We can also use probability density functions to find the expected value of the outcomesof the event - if we repeated a probability experiment many times, the expected valuewill equal the average of the outcomes of the experiment. (e.g. L xf(x) dx yields theexpected value for a density f(x) with domain on the real numbers.) Find the expectedvalue for one of the valid probability densities above.

Answered: Image /qna-images/answer/398673ac-972f-4af6-a128-a5321c2b02d4.jpg

Roughly, speaking, we can use probability density functions to model the likelihood of an event occurring. Formally, a probability density function on (-∞,0) is a function ƒ such that f(x) > 0 and | f(x) = 1. (a) Determine which of the following functions are probability density functions on the (-0, 00). x-1 0 0

Roughly, speaking, we can use probability density functions to model the likelihood of an event occurring. Formally, a probability density function on (-∞,0) is a function ƒ such that f(x) > 0 and | f(x) = 1. (a) Determine which of the following functions are probability density functions on the (-0, 00). x-1 0 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 11E: A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into...

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