Poisson distribution. Does it have probability density function? Why or why not? Discuss your answer in the context of mean and variance of the Poisson distribution.
The function f(x) is called the probability density function (p.d.f) provided it satisfies the following two conditions
-
- F(x) ≥ 0 -------------------b
- If the range of the continuous random variable is (a,b) ∫ f(x) = 1 ---------------a
A random variable X is said to have a binomial distribution and is referred as a binomial random variable, if and only if it’s probability distribution is given by
B (x;n,p) = nCx . px . (1-p)n-x for x = 0,1,2,…..n
The probability of getting ‘x’ success and ‘n-x’ failures in n trials is given by px . (1-p)n-x.
The number of trials in the case of binomial distribution is very large and cumbersome. Then the probability distribution used to approximate binomial possibilities. This limiting form of the binomial distribution when n → ∞ and p → 0, while n.p remains constant. Let λ = n.p, therefore p = λ/n. The binomial distribution written as
B(x,n,p) = nCx (λ/n)x (1-( λ/n))n-x = n (n-1) (n-2) (n-3)………(n-x+1)/x! x (λ/n) x (1-( λ/n))n-x
______ __________ ___ ________ ________ ____ ______.
___ ________ ____ ______ __________ ___ ____.
________ ___ ______ _____ ______ ______ ________ ______.
__________ _________ _________ _____ __________ __________ _____ ____ ____ ___ _________ _________.
__________ ________ __________ __________ _______ ______ _________.
___ _____ __________ ____ _________.
___ _________ _____ _________ ________ _______ ______.
_______ _________ ________ ___ ____.
____ ____ ____ _________ _________ ___ __________.
_____ ______ ______ ____ ______ ___ ____ _______.
_______ ________ _______ ______ ______ __________ ___ ______ ____ ____ ___.
_____ ___ _____ _____ ______ _______ ______ _______ ______.
____ _________ ______ ______ ________ _________ __________ ___ __________ ____.
________ _____ _________ ________ ________ _______ _______ __________.
______ __________ ___ _____ _____ _______ ___ ______.
_________ _________ __________ _____ ____ _________ ______ ______ ________ ________ ____.
___ ___ ______ _____ _________ _____ ________ ________.
___ _______ ________ ________ _____ ______ ________.
_________ ______ __________ _____ _____ _________ _____ _________ ____ ____.
___ ________ ________ ____ ____ _____ ______ ______ ________ ___ _______ ___.
__________ ____ __________ _______ _______ ________.
_________ __________ ______ ____ ________ __________ _______ ___ ___ _______ _________.
________ ___ _____ ____ ____ ____ _________ __________ ___ __________.
_______ ______ _______ _________ _______ __________ ___ ________ _________ ________ ____.
__________ __________ _________ _______ ______ _____ _____ _____ _________ ______ _______ ___.
_________ ________ ______ _______ _______ ______ __________.
_____ ____ __________ _________ ______ ____ ____ _____ ______ ______.
_______ ________ ___ ________ ___ __________ _________ _________ _________ _____.
_______ __________ __________ ________ _________ ___ ______ _________ ___ _______ __________.
__________ _______ ____ _____ _____ ___ ______ __________.
_______ __________ ________ __________ ____ __________ ________ ________ ____.
_______ _______ ___ _________ ______ ____ _______ _______ _____ _______.
____ ___ ________ ____ _____ __________ ________.
___ _____ _______ _________ _________ _____.
_________ ______ ____ ______ _________ _________ _________ _____ _____ __________ ________.
________ ________ ________ ______ ___ ___ _________.
_____ _________ ________ __________ __________ ___ ______ __________ ____.
________ _________ ____ _______ ___ ______.
___ ________ _______ ______ _______ _____ _____ _________ _______ ______.
__________ _______ __________ __________ ______ ___ _______ __________ _________ __________.
_________ ________ ____ _________ ___ _________ ___ _______ ___.
_____ _________ __________ _________ _______.
__________ __________ _________ ___ ______ _______ ____ _________ ____ ____ _________.
_______ _______ __________ ___ ______.
____ ________ ____ ____ ______ _______ __________ _____ __________ _________.
______ _____ ________ ______ _____.
_________ _________ _________ ________ _______ ______ __________.
_____ __________ _____ _________ _________ _________ ____ ______ ____ _________ ________ _____.
______ ______ ____ __________ ____ _________.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required