1. Suppose you are throwing an outdoor lunch event for a group of 300 people. Wanting to be inclusive, you decide to offer vegetarian options. Since you thought of vegetarians at the last minute, you are not sure how many are attending, but a quick google search shows that vegetarianism occurs at a rate of 5% according to a recent poll. Assume that the requirements for a binomial distribution have been satisfied.

a. What is the probability that you will have more than 10 vegetarians attending your event?

b. What is the probability that you will have less than 20 vegetarians attending your event?

c. Find the mean number of vegetarians that you would expect to attend this event.

d. Create a "usual range" of the number of vegetarians that you would expect to attend such an event

Max usual range: