Question 1:
Diagram below shows the graph of a binomial distribution of X.
(a) the value of h,
(b) P (X ≥ 3)
Solution:
(a)
P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4) = 1
(b)
P (X ≥ 3) = P (X = 3) + P (X = 4)
Question 2:
The random variable X represents a binomial distribution with 10 trails and the probability of success is ¼.
(a) the standard deviation of the distribution,
(b) the probability that at least one trial is success.
Solution:
(a)
n = 10, p = ¼
(b)