a)Police believe that there is a 25% chance a gun is being held by youth at a secondary school. They are conducting random searches. What is the probability that the first youth found has a gun? Second? Third? Fourth? How many do you expect to have guns at the school?

b)Plastic is now surpassing aluminium as the packaging material of choice for soft drinks. According to a recent article*, 80% of all new vending business is going to plastic. If a random sample of 10 new vending businesses is selected, what are P(X>2), P(X<5), and P(X<9) (using the binomial).