An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past,it has been determined that the particle size (in micrometers) distribution is characterized by the following function.- 3x>1f(x) =2x0₁elsewhere(a) Verify that this is a valid density function.(b) Evaluate F(x).(c) What is the probability that a random particle from the manufactured fuel exceeds 5 micrometers?(a) The function f(x) is a valid density function because(b) F(x)=x≤ 1,x>1.▼for all(c) P(X> 5) =(Type an integer or decimal rounded to four decimal places as needed.)Oand becauseS f(x) dx =- 00· √2x-³3d2x ¯³ dx = (i =

Probability mass function is used for one dimensional discrete random variable and its probabilistic…

An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by the following function. 2x x>1 0₁ elsewhere (a) Verify that this is a valid density function. (b) Evaluate F(x). (c) What is the probability that a random particle from the manufactured fuel exceeds 5 micrometers? f(x) = (a) The function f(x) is a valid density function because 18 (b) F(x) = { x≤ 1, x>1. for all (c) P(X> 5) = (Type an integer or decimal rounded to four decimal places as needed.) | and because_ [ f(x) dx = √2x²³dx = Of=[ -00 1

An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by the following function. 2x x>1 0₁ elsewhere (a) Verify that this is a valid density function. (b) Evaluate F(x). (c) What is the probability that a random particle from the manufactured fuel exceeds 5 micrometers? f(x) = (a) The function f(x) is a valid density function because 18 (b) F(x) = { x≤ 1, x>1. for all (c) P(X> 5) = (Type an integer or decimal rounded to four decimal places as needed.) | and because_ [ f(x) dx = √2x²³dx = Of=[ -00 1

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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