Q1/ answer the following: a- find the value (a) so that the following function can satisfy a probability distribution function of the random variable Y: f9) = (,,) .a. C) for y = 0,1.2,3 .() for y = 0,1,2,3 f(y) %3D 4 - y

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1/ answer the following:
a- find the value (a) so that the following function can satisfy a probability distribution
function of the random variable Y:
4
fV) = (4v) .a.(G) for y = 0,1,2,3
b- find the value of (z) for a random variable Y with the following density function:
z Vy
3
0 < y < 2
f(y) =
elsewhere
c- from the results in (b) Find an expression F(y) and use it to evaluate
1
<y<5).
4
d- Test if the area under the curve is equal to 1. for the continuous random variable Y
described below:
0.25
1< y< 5
{
fy) =
elsewhere
Transcribed Image Text:Q1/ answer the following: a- find the value (a) so that the following function can satisfy a probability distribution function of the random variable Y: 4 fV) = (4v) .a.(G) for y = 0,1,2,3 b- find the value of (z) for a random variable Y with the following density function: z Vy 3 0 < y < 2 f(y) = elsewhere c- from the results in (b) Find an expression F(y) and use it to evaluate 1 <y<5). 4 d- Test if the area under the curve is equal to 1. for the continuous random variable Y described below: 0.25 1< y< 5 { fy) = elsewhere
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