Exercise 1. Patricia receives an average of two texts every 2 hours. If we assume that the number of texts is Poisson distributed, what is the probability that she receives five or more texts in a 9 hours period?
Exercise 2. A UConn student claims that she can distinguish Dairy Bar ice cream from Friendly’s ice cream. As a test, she is given ten samples of ice cream (each sample is either from the Dairy Bar or Friendly’s) and asked to identify each one. What is the probability that she would be right exactly eight times if she guessed correctly each sample with probability 2/3 ?
Honors Exercise.
Jennifer is baking cookies. She mixes 500 raisins and 600 chocolate chips into her cookie dough and ends up with 300 cookies.
(a) Find the probability that a randomly picked cookie will have three raisins in it.
(b) Find the probability that a randomly picked cookie will have at least one chocolate chip
in it.
(c) Find the probability that a randomly picked cookie will have no more than two bits in
it (a bit is either a raisin or a chocolate chip).
Research and Lecture notes 