A football fan is analyzing the number of people interested in purchasing tickets for Europe’s biggest football championship, the UEFA Euro 2020. The fan’s survey tells her that out of 10 tickets, registered once a month, 70% of them are likely to be from the host city of Dublin, Republic of Ireland. Assume that a random variable follows a binomial distribution.
a. What is the standard deviation of the random variable?
b. What is the probability that all the tickets to the championship will be sold?
c. What is the probability that no tickets will be sold?