Please write code in R.

In America, a criminal trial jury maintains the right of jury nullification, declaring not guilty despite evidence to the contrary due to disagreements with the law being applied in the case. It is estimated that approximately 21%of acquittals (declarations of not-guilty) are the result of jury nullification.

a) Among a prosecutor's recent cases, 28 were acquittals. What is the probability that 6of them were acquitted due to jury nullification? Save your answer in the variable q2.a

b)

What is the probability that at least the next 5 acquittals are not the result of jury nullification? Save your answer in the variable q2.b

c)

How many acquittals should the prosecutor expect in total to observe the 4th jury nullification acquittal? Save your answer in the variable q2.c

d)

What is the probability that the prosecutor sees the 4th jury nullification before the 15th acquittal? Save your answer in the variable q2.d

e)90% of the time, the prosecutor should expect how many or less non-jury nullified acquittals before the next jury nullification? Save your answer in the variable q2.e