Consider flips of a fair coin. Let X be the random variable that is the total number of tails. Note that X can be any nonnegative integer from 0 to . Let Y be the random variable that is the number of heads in the last flip (can be 0 or 1). What is the probability  ?

Suppose random variables X and Y are related as Y=X+. Suppose the random variable X has mean zero, and variance 1. What is expected value of ?

What items were commonly found in Christian graves?

Which culture used cedar oil to preserve enemy heads?

Take a look at the probability density function of the random variable X given as below:   What is the probability

This problem is about what it takes for a function to be a valid probability density function. Consider two functions which are valid probability density functions (PDF).  Which of the following is incorrect?

What role did the Ka, Ba, and Akh play in Egyptian beliefs about the afterlife?

Let X be a uniformly distributed continuous random variable from 0 to 1. Let Y=-ln(1-X) . Find the probability 

There is a deck of cards. You are drawing cards from the deck of cards, and laying them down in front of you one-by-one. How many ways can you do this if the order of the cards in front of you does matter? 

Who held the primary responsibility for burial duties in Hebrew culture?