Determine the following:
(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)?

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)?

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70