Suppose the COVID vaccination rate is 68% in your area. This rate is determined by taking the ratio of fully vaccinated people - those who received the full dose of vaccine, either with or without a booster - to the total number of people. 25 people are randomly selected from your area and their vaccination status is checked to determine how many are fully vaccinated.

Determine the following:

a) What is the probability that more than 68% of the sample will be vaccinated? Use technology and explain your work. Report to 4 decimal places.

B) Draw a histogram and describe its shape.