Problem I) Given the random variable, Yhas the following CDF: Fy(y) 1 0.75 0.5 0.25 a) Find Pu(u). b) Find Fu(u). c) Find E[U]. 0 0 1 2 3 4 5 y Let U= g(Y)=Y² evaluate the following: 0.25 Fy(y) = 0.5 [1 y<1 1≤y<2 2≤y <3 y≥ 3

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1.)
Problem I) Given the random variable, Y'has the following CDF:
1
0.75
0.5
0.25
a) Find Pu(u).
b)
Find Fu(u).
c) Find E[U].
0
0 1 2 3 4 5
y
Let U= g(Y) = Y² evaluate the following:
Fy(y) =
0.25
0.5
y <1
1≤y <2
2≤y <3
y ≥ 3
Problem 2) Suppose that a cellular plan costs $20 per month with 30 minutes of use in
additional minute of use costs $0.50. If the number of minutes you use in a month is
variable M with an expected value of E[M] = 1/p= 30 minutes, what is the PMF of C,
for one month?
Transcribed Image Text:Problem I) Given the random variable, Y'has the following CDF: 1 0.75 0.5 0.25 a) Find Pu(u). b) Find Fu(u). c) Find E[U]. 0 0 1 2 3 4 5 y Let U= g(Y) = Y² evaluate the following: Fy(y) = 0.25 0.5 y <1 1≤y <2 2≤y <3 y ≥ 3 Problem 2) Suppose that a cellular plan costs $20 per month with 30 minutes of use in additional minute of use costs $0.50. If the number of minutes you use in a month is variable M with an expected value of E[M] = 1/p= 30 minutes, what is the PMF of C, for one month?
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