You roll a fair 6-sided die and denote the outcome by Y . Then you flip a fair coin Y times in a row. Let X denote the number of tails observed. (a) What is the distribution of X given that Y " y for some y P t1, 2, 3, 4, 5, 6u? What is ErX | Y " ys? (b) Find the probability mass function pX of X for all x P t0, 1, . . . , 6u. (c) Use pX from (b) to compute ErXs.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

What is the prime factorization of 23 ?me with this question

Given the diagram below, michael writes, "segment ac is congruent to segment ac." which of the following reasons allow him to write this statement?