Suppose the random variables X and Y have joint pdf as follows: f(x, y)=15xy2, 0< y < x <1 a. Find the marginal pdf f1(x) of X. b. Find the conditional pdf f2(y | x). c. FindP(Y>1/3|X=x)forany1/3

What value of x will make the triangles similar by the sss similarity theorem?

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

The population of a bacteria colony grows by a consistent percentage each hour and can be modeled by the function y = 500(1.16)t. what does the value 500 represent in the function?