Binomial distribution Suppose a student has 40% chance of scoring a perfect score in an test with randomly selected questions. Each student will be provided 5 attempts. a) Compute and plot the probability distribution for the number of perfect scores over the 5 attempts (both the PMF and CDF) b) What is the probability that a student will score a perfect score in exactly 2 out of the 5 attempts? c) What is the probability that a student will score a perfect score in at least 2 out of the 5 attempts? d) Simulate the number of perfect scores over 5 attempts for 1000 students. Show the barplot of the frequencies of successes.

using R