Please have a go at the problems before the workshop so that in the workshop you can focus on those problems which you had trouble with.
A discrete random variable, , has a cdf of
Use the pmf that you calculated in WS01 Discrete cdf to answer the following.
What is for any ?
What is ?
What is the skewness of ?
Find the expectation, variance, and skewness for the random variable in the question in WS1 pdfcst.
Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with expected number (i.e. parameter) .
Write the pmf of the Poisson distribution with this parameter value.
Find the probability that 3 or more accidents will occur today.
Using conditional probability, repeat part (b) if you know that at least one accident occurred today.
Let be an interval on the real line. For a set the function of is defined as
For the continuous random variable , find . Hint: either consider the distribution of and use the known results for that or first consider an interval, , and draw the picture.