Recent content by rooski

But if it tells me that it only takes on positive integers then technically it can take on infinite positive integers right? And from what i gather you need to know the range of x in order to calculate the expectations. :S

Ok i figured out the first part of the question - the probability of the trials having more than 1 success I am 36 trials is 0.2642 using the binomial distribution function. How do i apply the poisson variable to this?

So the number of trials, n, is 36 and the probability of success, p, is 1/36, right?

Homework Statement A trial consists of tossing two dice. The result is counted as successful if the sum of the outcomes is 12. What is the probability that the number of successes in 36 such trials is greater than one? What is this probability if we approximate its value using the Poisson...

Homework Statement Discrete random variables X and Y , whose values are positive integers, have the joint probability mass function , (, ) = 2−−. Determine the marginal probability mass functions () and (). Are X and Y independent? Determine [], [ ], and [ ]. The Attempt at a Solution...

P(L) = 0 * 1/3 + 1 * 1/3 + ½ * 1/3 = 3/6 = 1/2 So there is a 50% chance that we will end up with the lowest card if we reject the first random card.

P(L|B) = 1 since you will reject 3 if it appears, or accept 1 when it appears. P(L|C) = 1/2 since you will accept 2 if it appears or accept 1 when it appears. Have i calculated P(A) P(B) and P(C) wrong?

Assuming L is the event i accept the lowest card, P(L) = P(L|A)P(A) + P(L|B)P(B) + P(L|C)P(C) Where A,B,C denote cards 1,2,3 respectively. Is that right or am i off? It seems wring since P(A), P(B) and P(C) would all be 1/3.

Ah right, don't know how i missed that. So how do i calculate the chance that the second card will be lower? I have 0, 1 and 1/2 as the probabilities, depending on which card is rejected first.

Homework Statement Suppose that the integer values 1 2 and 3 are written on each of three different cards. Suppose you do not know which number is the lowest (you do not know beforehand what the values on the cards are). Suppose that you are to be offered these cards in a random order. When...

The instructions given are pretty vague, i will admit. I doubt the teacher wants us to get too involved with the semantics of the question. Since the other team has not been mentioned I will simply assume that i am not supposed to factor in the other team's score at all. That said, I think...

I assume for B) that they are trying to keep it simple. There are 5 players taking shots on the net. If 2 players score then no more kicks are taken. I think i did this wrong. We don't want factorials, we want combinations. There is a possibility of 5C2 + 5C3 + 5C4 + 5C5 combinations of players...

Homework Statement Consider a team of 11 soccer players, all of whom are equally good players and can play any position. (a) Suppose that the team has just finished regulation time for a play-off game and the score is tied with the other team. The coach has to select five players for...

Homework Statement use induction to prove (my formatting is off sorry) \overline{n} \sum \underline{k=1} f _{2k-1} = f_{2n}The Attempt at a Solution To start we need to show that f3 is valid. So we show that f2 + f1 = f3, which is the case. The next part is the confusing part for me. Do i...

Thanks for clarifying. Your example helps make it clear that they cannot be valid, i think i'll start using examples like that in proving equivalences are not valid. Is my wording in Q2 good? I feel as though i didn't quite illustrate well enough that the equivalence is valid.