Hmm. In (a) there are two ways of getting all assignments wrong (if the correct one is 123, then these are 312 and 231) and there are 3*2*1 = 6 possible assignments. If his guesses are random this yields Pr(all wrong) = 2/6 = 1/3. In (b) I count 9 ways of getting all assignments wrong out of...
Yeah, I think I'll do that, although it gets rather complex in (b).
A slight problem though: when I count the combinations I get 3/8 in (b), but when I calculate it using the multiplication rule I get 1/4 :eek:
Hi. I'm a math instructor and this problem is given to 1. year economics students.
1. The problem statement
In an episode of the TV show "All in the Family", Mike claimed that he could identify different brands of cola by taste alone. He was challenged and presented with three glasses, one...
I've been staring at this for hours. Any hints?
Let the vector Y = (Y_1,Y_2,\dots,Y_k) have a multinomial distribution with parameters n and \pi = (\pi_1,\pi_2,\dots,\pi_k):
\sum_{i=1}^{k}Y_i = n, \quad \sum_{i=1}^{k}\pi_i = 1
Show that the conditional distribution of Y_1 given...