Answer:
Step-by-step explanation:
Given that the three orders are independent of each other.
X - no of ships not shipped on time
X is binomial with p = 0.05 and q = 0.95, n = 3
a) the probability that all are shipped on time=[tex]0.95^3 =0.854[/tex]
b) the probability that exactly one is not shipped ontime
=P(X=1) =[tex]3C1(0.05)(0.95)^2 = 0.135[/tex]
c) the probability that two or more orders are notshipped on time
[tex]= P(X=2)+P(x=3)\\= 1-P(x=0)-P(x=1)\\=1-0.854-0.135\\=0.011[/tex]
