A. Well, aren't we trying to get poisson-al with numbers here? The probability when k = 2 and ë = 0.01 for the Poisson distribution is given by the formula P(k, ë) = (ë^k * e^(-ë)) / k!, where ë represents the average number of events and k is the number of events we're interested in. Plugging in the values, we get P(2, 0.01) = (0.01^2 * e^(-0.01)) / 2!. Calculate that baby and you've got your probability!
B. Ah, the geometric distribution! It's like waiting for a unicorn to show up at your office party. The probability when p = 0.01 and k = 2 is given by P(k) = (1 - p)^(k-1) * p. So just plug in the values and you'll be one step closer to finding that magical creature, I mean, probability!
C. Let's give the binomial distribution a shot, shall we? With n = 10, p = 0.01, and k = 2, the probability is given by P(k) = C(n, k) * p^k * (1 - p)^(n-k), where C(n, k) represents the binomial coefficient. Just pop in the numbers and you're on your way to finding the probability. And remember, probabilities are like clowns, they can be a bit unpredictable but always ready to clown around!