Who is the best teacher ever?

Suppose that  and  have joint p.d.f.   for

 Suppose we wish to use Monte Carlo integration to approximate

In the course of a simulation study, we should stop to ask, “Does our code correctly create the simulation model we desired?” What step of the simulation study process is this? 

You are in a room with 4 friends. What is the probability that at least two of you share the same birthday?

TRUE OR FALSE?  Randomly select one card from a standard deck of 52 cards. Suppose we define the event A to be that the selected card is a Queen, and the event B is that the selected card is a Spade. Then A and B are independent. Note: A standard deck of playing cards contains a total of 52 cards of 4 types: 13 each of Spades, Clubs, Hearts, and Diamonds.       

Consider a family that has two children. Assume that , and that the genders of the two children are independent. What is the probability that both children are girls given that we know at least one of them is a girl? 

Write each word phrase as an algebraic expression.  Use x to represent the unknown number. 9 more than the product of -4 and a number

List the terms and coefficients of the expression.(answer on scratch paper only is fine)

If a patient’s FASTING blood glucose (FBS) result is 210 mg/dL for a GTT, the phlebotomist: