Answer:
a) 0.1317
b) 0.7413
c) 0.2731
d) 0.1561
Step-by-step explanation:
Let's start defining the random variable.
X : ''The number of people that she interviews''
X ~ Bi (n,p)
This means, X can be modeled as a Binomial random variable where p is the success probability and n is the number of independent Bernoulli experiments that take place. In this case, n is the number of interviews that she makes.
The probability function for X is :
Where nCx is the combinatorial number defines as :
For a)
We are looking for the probability of she interviews 5 people over 5 she interviews ⇒
b) In this part , we are looking for P(X ≥ 5) when n = 8 (Number of people she interviews)
c) Interview 6 people of 8 :
d) Interview 7 people of 8 :