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1)a)how many nonisomorphic unrooted trees are there aith 4vertices?
b)how many noniomorphic rooted trees are there with 4vertices?(using iomorphism for directed graphs)
2)either draw a full m-ary tree with 76 leaves and height 3 where m is a positive integer or show that no such tree exists?
3)a full m-ary tree T has 81 leaves and height 4.
a)give the upper and lower bounds for m.
b)what is m if T is also balanced?
a complete m-ary tree is a full m-ary tree where every leaf is at the same level.
hy i have 2more problems .....help me with the solution........plz
1)If X and Y have a bivariate normal distribution and U=X+Y and V=X-Y find an expression for the correlation coefficient of U and V.
2)If X has an exponential distribution show that
P(X>=t + T\X>=T) = P(X>=t)
this property of an exponential random variable parallels that of a geometric random variable given as [ P(X=x+n\X>n) = P(X=x)
thanks a bunch.......
hi im unable to work on the following problem...........its my homewrk due within 1.5days......please do give me a solution....thanks a bunch.......
3)If the random variable T is the time to failure of a commercial product and the values of its probability density and distribution function at time "t" are f(t) and F(t), then its failure rate at time t is given by f(t) / 1-F(t)
Thus, the failure rate at time t is the probability density of failure at time t given that failure does not occur prior to time t.
a)show that if t is an exponential distribution, the failure rate is constant.
b)show that if T has a weibull distribution thae failure rate is given by (alpha *beta)*t^beta-1.
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