Answer: 0.0115
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : A package delivery service claims that no more than 5 percent of all packages arrive at the address late.
We assume that the conditions for the binomial hold with parameters :-
n=10 ; p=0.05
Let x be the random variable that represents the number of packages arrive at the address late.
Now, the probability that more than 2 packages will be delivered late :-

Hence, the probability that more than 2 packages will be delivered late = 0.9885