Let Y be a Binomial variable counting the number of successes in independent trials where the probability of success at each trial is ; that is, $Y \sim Bin(, )$.

Part a) Use the pbinom function in R to find $P ( < Y \le )$, giving your answer to three decimal places.


Part b) Use the qbinom function in R to find the smallest value $y$ such that $P(Y \le y) \ge$.