1) Tina works for a medical technology company in sales. She travels to doctors' offices and offers them a suite of services related to patient billing and office management. She knows that 25% of the offices she visit will eventually purchase her product. She is visiting 20 offices this week. Assume the binomial is an appropriate model for the number of offices that make the purchase. What is the probability that exactly 4 of them will make a purchase? (give your answer to 4 decimal places as a number between 0 and 1)
2) A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 539 and a standard deviation of 46. A local Junior High principal has decided to give an award to any student who scores in the top 10% of statewide scores.
How high should a student score be to win this award?