The daily return of a certain stock is normally distributed with a mean of 0.30% and a standard deviation of 2.50%.
a. Find the probability that the return on a randomly selected day is negative. Provide a simple picture of the normal distribution and clearly label what the probability found refers to.
b. Find the level, L, such that there is a 20% chance that the daily return on a randomly selected day exceeds L. Provide a simple picture of the normal distribution and clearly label the value found on the picture.
c. Find the probability that the return is negative on each of 4 randomly selected days.