A function f(x) is said to be normalized if it is true that f(x) dx = 1 On the other hand, in the context of probability, there is the normal distribution which is defined as 1 -1/(right)² O√ 2π I(x) = e where and are constants. a) In the same Cartesian plane, graph 3 functions I'(x) with different values of o and μ (give the values you want, as long as all the functions are appreciated). b) Use the integra- te[...]" function/command to check if I(x) satisfies the normalization condition. Use the values of o and μ from the previous part. c) Answer: Does I'(x)² meet the normalization condition? Use the values of σ and
A function f(x) is said to be normalized if it is true that f(x) dx = 1 On the other hand, in the context of probability, there is the normal distribution which is defined as 1 -1/(right)² O√ 2π I(x) = e where and are constants. a) In the same Cartesian plane, graph 3 functions I'(x) with different values of o and μ (give the values you want, as long as all the functions are appreciated). b) Use the integra- te[...]" function/command to check if I(x) satisfies the normalization condition. Use the values of o and μ from the previous part. c) Answer: Does I'(x)² meet the normalization condition? Use the values of σ and
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write a notebook in mathemathica that solves the following problem
![A function f(x) is said to be normalized if it is true that
[ 1
f(x) dx =
On the other hand, in the context of probability, there is the normal distribution which is defined as
1
O√2π
(right) ²
T(x) =
e
where σ and µ are constants. a) In the same Cartesian plane, graph 3 functions I'(x) with different values
of σ and μ (give the values you want, as long as all the functions are appreciated). b) Use the Ïntegra-
te[...]" function/command to check if I'(x) satisfies the normalization condition. Use the values of σ and μ
from the previous part. c) Answer: Does I(x)² meet the normalization condition? Use the values of ♂ and
μ from the previous part. d) Considering I'(x) = 1/2 solve equation (2) for x. o and µ should be used as
general variables (i.e. don't give them values as above, use Çlear[...]” to clear the values of µ and sigma that
you defined before).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1683668-6886-4048-8767-4c774e9286cb%2F28ba42f4-d92d-4ecb-a5bf-f246e765d173%2F3sefp5r_processed.png&w=3840&q=75)
Transcribed Image Text:A function f(x) is said to be normalized if it is true that
[ 1
f(x) dx =
On the other hand, in the context of probability, there is the normal distribution which is defined as
1
O√2π
(right) ²
T(x) =
e
where σ and µ are constants. a) In the same Cartesian plane, graph 3 functions I'(x) with different values
of σ and μ (give the values you want, as long as all the functions are appreciated). b) Use the Ïntegra-
te[...]" function/command to check if I'(x) satisfies the normalization condition. Use the values of σ and μ
from the previous part. c) Answer: Does I(x)² meet the normalization condition? Use the values of ♂ and
μ from the previous part. d) Considering I'(x) = 1/2 solve equation (2) for x. o and µ should be used as
general variables (i.e. don't give them values as above, use Çlear[...]” to clear the values of µ and sigma that
you defined before).
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