answer the following An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are toolarge. From production data in the past, it has been determined that the particle size (in micrometers) distribution ischaracterized by the following function.-87x x>1f(x)0,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 2 micrometers?(a) The function f(x) is a valid density function because1 R(x) dx = 57x- 00(b) F(x)== √7x-³dx = 1x≤1,X> 1.01 = 0for all(c) P(X> 2) =(Type an integer or decimal rounded to four decimal places as needed.)and becausex€[ −1,1]XERX>0x 20

Given: It is given that the probability distribution function of particle size is: f(X) = 7X-8, 0,…

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. X>1 f(x)= 7x 0, 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 2 micrometers? (a) The function f(x) is a valid density function because ∞ 00 [ f(x) dx = x) dx = √S 7x² - 0 (b) F(x)= |7x¯³ dx = ₁ = [ x≤ 1, X> 1. for all (c) P(X> 2)= (Type an integer or decimal rounded to four decimal places as needed.) and because x€[−1,1] XER X>0 x20

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. X>1 f(x)= 7x 0, 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 2 micrometers? (a) The function f(x) is a valid density function because ∞ 00 [ f(x) dx = x) dx = √S 7x² - 0 (b) F(x)= |7x¯³ dx = ₁ = [ x≤ 1, X> 1. for all (c) P(X> 2)= (Type an integer or decimal rounded to four decimal places as needed.) and because x€[−1,1] XER X>0 x20

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Question

answer the following

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.
-8
7x x>1
f(x)
0,
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 2 micrometers?
(a) The function f(x) is a valid density function because
1 R(x) dx = 57x
- 00
(b) F(x)=
= √7x-³dx = 1
x≤1,
X> 1.
01 = 0
for all
(c) P(X> 2) =
(Type an integer or decimal rounded to four decimal places as needed.)
and because
x€[ −1,1]
XER
X>0
x 20

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