Find an example of two dependent binomial random variables X and Y with same probability of...
Find an example of two dependent binomial random variables X and Y with same probability of success p that when you add them X+Y the result is not a binomial random variable.
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Find an example of two dependent binomial random variables X and
Y with same probability of...
Let X and Y be independent binomial random variables B(n,p) on the same sample space. Show that X + Y is also a binomial...
Let X and Y be independent binomial random variables B(n,p) on the same sample space. Show that X + Y is also a binomial random variable B(?,?). What values should replace the questions marks?
Let X and Y be two dependent random variables. P[X,Y]= 0.2 and P[X] =0.4. Find P[Y|X].
Let X and Y be two dependent random variables. P[X,Y]= 0.2 and P[X] =0.4. Find P[Y|X].
Let N be a binomial random variable with n = 2 trials and success probability p...
Let N be a binomial random variable with n = 2 trials and success probability p = 0.5. Let X and Y be uniform random variables on [0, 1] and that X, Y, N are mutually independent. Find the probability density function for Z = NXY.
The joint probability density function of two continuous random variables X and Y is Find the...
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Suppose X and Y are independent Binomial random variables, each with n=3 and p=9/10. a. Find...
Suppose X and Y are independent Binomial random variables, each with n=3 and p=9/10. a. Find the probability that X and Y are equal, i.e., find P(X=Y). b. Find the probability that X is strictly larger than Y, i.e., find P(X>Y). c. Find the probability that Y is strictly larger than X, i.e., find P(Y>X).
Let X, Y be independent random variables where X is binomial(n = 4, p = 1/3)...
Let X, Y be independent random variables where X is binomial(n = 4, p = 1/3) and Y is binomial(n = 3,p = 1/3). Find the moment-generating functions of the three random variables X, Y and X + Y . (You may look up the first two. The third follows from the first two and the behavior of moment-generating functions.) Now use the moment-generating function of X + Y to find the distribution of X + Y .
The moment generating function ф(t) of random variable X is defined for all values of t by et*p(x), if X is discrete e...
The moment generating function ф(t) of random variable X is defined for all values of t by et*p(x), if X is discrete e f (x)dx, if X is continus (a) Find the moment generating function of a Binomial random variable X with parameters n (the total number of trials) and p (the probability of success). (b) If X and Y are independent Binomial random variables with parameters (n1 p) and (n2, p), respectively, then what is the distribution of X...
Assume the random variable x has a binomial distribution with a given probability of obtaining a...
Assume the random variable x has a binomial distribution with a given probability of obtaining a success. Find the probability, given the number of trials and the probability of obtaining a success. P(X<=3), n=7, p=.2
Suppose that we have two independent binomial random variables X ~Binomial(n, px) and Y ~ Binomial(m,Pv)....
Suppose that we have two independent binomial random variables X ~Binomial(n, px) and Y ~ Binomial(m,Pv). You can assume that the MLE's are -X/n and p,-Y/m. (a) Find the MLE for p under the assumption that p (b) Find the LRT statistic T for testing p,-py HA:p.Ру vs. (c) Evaluate the value of this statistic if n 353, X 95, m -432, and Y 123. (d) Compare the answer from part (c) to a critical value from a x2 with...
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥16)P(X≥16), n=19n=19, p=0.7 if you could tell me how to put this in my calculator that would be wonderful
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
The moment generating function ф(t) of random variable X is defined for all values of t by et*p(x), if X is discrete e f (x)dx, if X is continus (a) Find the moment generating function of a Binomial random variable X with parameters n (the total number of trials) and p (the probability of success). (b) If X and Y are independent Binomial random variables with parameters (n1 p) and (n2, p), respectively, then what is the distribution of X...
Suppose that we have two independent binomial random variables X ~Binomial(n, px) and Y ~ Binomial(m,Pv). You can assume that the MLE's are -X/n and p,-Y/m. (a) Find the MLE for p under the assumption that p (b) Find the LRT statistic T for testing p,-py HA:p.Ру vs. (c) Evaluate the value of this statistic if n 353, X 95, m -432, and Y 123. (d) Compare the answer from part (c) to a critical value from a x2 with...
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