Finance

The discrete uniform distribution on { 1, … , n) corresponds to the probability mass function…
The discrete uniform distribution on { 1, … , n) corresponds to the probability mass function (a) Determine the mean…
Read More » 
Suppose that X has a discrete uniform distribution on the integers 0, 1, … , 9, and Y is…
Suppose that X has a discrete uniform distribution on the integers 0, 1, … , 9, and Y is independent…
Read More » 
The mode of a probability mass function p(k) is any value k* for which p(k*) p(k) for all k….
The mode of a probability mass function p(k) is any value k* for which p(k*) p(k) for all k. Determine…
Read More » 
Let Y = N – X where X has a binomial distribution with parameters N and p. Evaluate the product…
Let Y = N – X where X has a binomial distribution with parameters N and p. Evaluate the product…
Read More » 
Let X and Y be independent Poisson distributed random variables having means µ and v,…
Let X and Y be independent Poisson distributed random variables having means µ and v, respectively. Evaluate the convolution of…
Read More » 
Evaluate the moment E[e λZ ], where A is an arbitrary real number and Z is a random variable…
Evaluate the moment E[eλZ], where A is an arbitrary real number and Z is a random variable following a standard…
Read More » 
Let W be an exponentially distributed random variable with parameter θ and mean p. = 1/θ….
Let W be an exponentially distributed random variable with parameter θ and mean p. = 1/θ. (a) Determine Pr{ W…
Read More » 
Let X and Y be independent random variables uniformly distributed over the interval for some…
Let X and Y be independent random variables uniformly distributed over the interval for some fixed θ. Show that W…
Read More » 
Let X 1 ,X 2 , … be independent and identically distributed random
Let X1,X2, … be independent and identically distributed random
Read More » 
(a) Determine the upper tail probabilities (b) Evaluate the mean via
(a) Determine the upper tail probabilities (b) Evaluate the mean via
Read More »