sider the function  f (x) = (1/24(x^2 +1)      1 < or =  x < or = 4)          = (0      otherwise)   Calculate P (x = 3) Calculate P (2 < or =  x < or = 3)

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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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Question 1.2

Consider the function 

f (x) = (1/24(x^2 +1)      1 < or =  x < or = 4) 

        = (0      otherwise)

 

Calculate P (x = 3)

Calculate P (2 < or =  x < or = 3)

 

 

 

 

Question 1.3

Consider the function 

f (x) = (k - x/4      1 < or =  x < or = 3) 

        = (0      otherwise)

 

which is being used as a probability density function for a continuous random variable x?

 

a. Find the value of K

b. Find P (x < or = 2.5)

 

 

PROBLEM 2
Consider the function f (x) = { 1(x² + 1) 1sx< 4
= { 0
otherwise
%=D
Calculate P (X = 3 )
Calculate P ( 2sX <3)
PROBLEM 3
Consider the function f (x) = {k – %
1sx<3
= {0
otherwise
which is being used as a probability density function for a continuous random variable x.
a. Find the value of K
b. Find P ( X s 2.5 )
Transcribed Image Text:PROBLEM 2 Consider the function f (x) = { 1(x² + 1) 1sx< 4 = { 0 otherwise %=D Calculate P (X = 3 ) Calculate P ( 2sX <3) PROBLEM 3 Consider the function f (x) = {k – % 1sx<3 = {0 otherwise which is being used as a probability density function for a continuous random variable x. a. Find the value of K b. Find P ( X s 2.5 )
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