1.

Three urns (A,B,C) hold white, red and black beads.

white, red, black

A 10, 5, 10

B 8, 8, 4

C 5, 5, 5

You choose an urn at random and take two beads out of this urn (without putting anyone of them back).

You have a black and a white bead. What is the probability that you choose urn A?

2.

Decide the value ofkso the function becomes the density function for the random variable .

Then calculate . (Rayleigh distribution)

3.

On average, 5.2 hurricanes occur in a year. What is the probability three or less will occur this year?

We can assume that the number of hurricanes can be approximated with a Poisson random variable.

Thank you.