If random variable x satisfying binomial distribution and its probability distribution `f(x)," then" f(x)=^nC_xp^xq^(n-x)(x=0,1,2,......,n) " and " barx=E(x)` Statement I: `E(x^2)=n(n-1)p^2+np` Statement II: `E(x)=np`.
A
Statement I is True, Statement II is True, Statement II is a correct explanation for Statement I
B
Statement I is True, Statement II is True, Statement II is not a correct explanation for Statement I
The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively. Then p(x=1) is
A random variable X follows binomial distribution with mean 3 and stanard deviation sqrt(2) . Find the values of P(X=2) and P(Xle1) .
Statement-I: Under some condition in the random experiment, p and q are the probability of 'success' and probability of 'failure' respectively, then the probability for x success is f(x)=^nC_xp^xq^(n-x)(x=0,1,2,......,n) Statement-II: Sample space of a random experiment has only two sample points one is success and other is failure.
If X follows a binomial distribution with parameters n=101 and p=(1)/(3) the P(X=r) is maximum if r equals
If X follows a binomial distribution with parameter n = 101 and p = 1/3 then P(x=r) is maximum if r equal to
If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is
For what value of k will the function f(x) =kx x=1,2,3 ...., n be a probability distribution of a random variable ?
If x is a discrete random variable and 'a' is a constant show that (i) E(a)=a (ii) E(ax)=aE(x) (iii) E(x-barX)=0
A binomial random variable X satisfies the relation 9P(X=4)=P(X=2) when n=6. Find the value of the parameters p.
If f(x) is polynomaial function of degree n, prove that int e^x f(x) dx=e^x[f(x)-f '(x)+f''(x)-f'''(x)+......+(-1)^n f^n (x)] where f^n(x)=(d^nf)/(dx^n)
CHHAYA PUBLICATION-BINOMIAL DISTRUTION-ASSERTION-REASON TYPE
