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 fG) = (4*,) .a.G) for y = 0,2,3,4 b- find the value of (z) for a random variable Y with the following density function: z Vy? 3 1< y< 3 f(y) = elsewhere c- from the results in (b) Find an expression F(y) and use it to evaluate 3. Ĉ

A First Course in Probability (10th Edition)
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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
f(y) = (4* ,) .a.C) for y = 0,2,3,4
b- find the value of (z) for a random variable Y with the following density function:
z Vy2
1< y< 3
f(y) =
elsewhere
c- from the results in (b) Find an expression F(y) and use it to evaluate
4
3.
PG
<y<).
d- Test if the area under the curve is equal to 1. for the continuous random variable Y
described below:
12.5
0.02 < y < 0.1
f(y) =
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 f(y) = (4* ,) .a.C) for y = 0,2,3,4 b- find the value of (z) for a random variable Y with the following density function: z Vy2 1< y< 3 f(y) = elsewhere c- from the results in (b) Find an expression F(y) and use it to evaluate 4 3. PG <y<). d- Test if the area under the curve is equal to 1. for the continuous random variable Y described below: 12.5 0.02 < y < 0.1 f(y) = elsewhere
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