PFA

CUMULATIVE ASSIGNMENT FOR CHAPTERS 4-6
Problem 1
X is a random variable with pdf P(x),
Therefore,
(i) P(x) 0 x
(ii)
    X
    P(x)
    0
    0.3
    1
    0.2
    2
    0.1
    3
    0.4
Now,
Expected value of X, E(X)
=
Problem 2
X($) denotes the value of win and negative value of X($) denotes the lose and P(x) denotes the pdf of X($).
    X
    P(x)
    
10
    
        
     5
    
    
-6
    
Now,
Expected value of X, E(X)
=
Problem 3
Let, X denotes the number of questions the student attended.
X follows a binomial distribution with parameter n and p, where n denotes the total number of questions and p denotes the proportion of true...