344 CHAPTER 6 Inferential Statistics
(d) the probability that you selected at most 2 white balls (using
a binomial model).- LetXbe the random variable associated with the coupon problem
(see page 331), wherenis the number of prizes involved. Compute
the variance ofX. - Consider the following Minitab-generated histogram of 200 trials,
where one stops after winning all ofm= 5 prizes.
mean = 10.96
StDev = 4.82(a) Is the sample mean close to the theoretical mean obtained
above?(b) How close does this histogram appear to that of a Poisson
distribution (with the theoretical mean)?(c) The TI code below will simulate playing the above game N
times whereM is the total number of prizes. The result of
playing the N games is stored in list variable L 3. Have fun
with it!