Please use R programming to answer follow questions:

It is conjectured that an impurity exists in 30% of all drinking wells in a certain rural community. In

order to gain some insight into the true extent of the problem, it is determined that some testing is

necessary. It is too expensive to test all of the wells in the area, so 10 are randomly selected for testing.

a. Using the binomial distribution, what is the probability that exactly 3 wells have the impurity, assuming

the conjecture is correct?

b. What is the probability that more than 3 wells are impure?