(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.) and because 1 f(x) dx = 2x²³ dx = 1₁ - -00

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
2x
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
(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
C
↑ f(x) dx = 12x²³dx = (1 =
Transcribed Image Text: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 2x 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 (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 C ↑ f(x) dx = 12x²³dx = (1 =
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