In: Statistics and Probability
Assuming a random variate follows a binomial distribution with x "successes" in n "experiments", and the probability of a single success in any given experiment being p; compute:
(a) Pr(x=2, n=8, p=0.47)
(b) Pr(3 < X ≤ 5) when n = 9 and p = 0.6
(c) Pr(X ≤ 3) when n = 9 and p = 0.13
(d) The probability that the number of successes is more than 1 when n = 13 and p = 0.19
(e) The uncertainty in the number of successes when n = 11 and p = 0.14
(f) The mean number of successes when n = 10 and p = 0.07
(g) Pr(3 ≤ X ≤ 5) when n = 8 and p = 0.79