The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3. The probability there are less than 3 occurrences is _____.

Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math  1 2 3 4 P(x) 0.25 0.45 0.20 0.10   What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math?   Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________   Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________

Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03

Is the following random variable discrete or continuous? Let X represent the number of books in a random professor's office.

Let X be a B (10, 1/2) random variable. What is the probability that X = 5?