A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?

The probability is;

0.0000003645

Step-by-step explanation:

The probability of packages being early p is 90% = 0.9

The probability of packages being late q will be 1-p = 1-0.9 = 0.1

So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem

That will be;

P(X = 2) = 10 C 2 0.9^2 0.1^8

= 0.0000003645