R studio coding problem, Binomial distribution:

Suppose a student has 50% chance of scoring a perfect score in an exam 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.

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)Repeat a), b) & c) if the student has 75% chance of scoring a perfect score.

e)Repeat a), b) & c) if the student has 25% chance of scoring a perfect score.

f)What do you infer from the shape of the above distributions?

g)Simulate the number of perfect scores over 5 attempts for 1000 students for the three scenarios above (50%, 75%, 25%). Show the side-by-side barplot of the frequencies of successes for the three scenarios.