Solve. Let f(x)= kx for x 2,3,4. Find k so that the function of f (x) satisfies the two properties of a probability mass function.
Solve. Let f(x)= kx for x 2,3,4. Find k so that the function of f (x) satisfies the two properties of a probability mass function.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Done
ifxe(1,2,3,...,9)
6. P(X = x) =285
0,
%3D
otherwise.
B. Solve.
7. Let f(x) = kx for x 2,3,4. Find k so that the function of f(x) satisfies the
two properties of a probability mass function.
8. Let X be a discrete random variable. Let its Support S be the set of the first
ten natural numbers. Given the pmf of X:
x,
55
if x e S
%3D
0,
if x 4 S
Compute the probability P(X > 7).
9. Let X be a discrete random variable with Support S = {1,2,3, ... ,12}.
Its pmf is given below:
1.
x,
0,
Compute the probability P(X > 8).
10. Graph the probability mass function below:
P(X x) =
if x e Support S
%3D
%3D
if x # Support S
1.
if x e S
%3D
(x)f
if x S
C. Compute the expected value of the discrete random variable
11. Let X be a discrete random variable with Support S {1,2,3,4}. Its pmf is
given below.
f(x) = 4
if x e the Support S
-X,
%3D
0,
if x the Support S
12. Let X be a discrete random variable with Support S {1,2}. Its pmf is given
below.
if x e the Support S
%3D
if x the Support S
13. Let X be a discrete random variable with Support S {1,2,3,4}. Its pmf is
given below.
%3D
if x e the Support S
%3D
(x)
(0,
14. Let X be a discrete random variable with Support S {1,2,3,4,5,6,7}. Its pmf
if x the Support S
%3D
is given below.
3D(x))
8.
if x e the Support S
if x # the Support S
15. Let X be a discrete random variable with Support S {1,2,3,4,5,6,7,8}. Its
%3D
pmf is given below.
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