Answer:
a) P(X = 0) = 0.5997
b) P(X = 9) = 0.0016
c) P(X = 8) = 0.0047
d) P(X = 5) = 0.4018
Step-by-step explanation:
These following problem are examples of the binomial probability distribution.
Binomial probability
Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
(a) for n = 4 and π = 0.12, what is P(X = 0)?
(b) for n = 10 and π = 0.40, what is P(X = 9)?
(c) for n = 10 and π = 0.50, what is P(X = 8)?
(d) for n = 6 and π = 0.83, what is P(X = 5)?