Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E. g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false? E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy

Give all possible names for the line shown.calculation tip: lines can be written with either point first.

4+(2+x) can you me solve this problem

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)