Q1) You may provide your replies in exact, product, or factorial (if applicable) form, but if former, illustrate how they would first be set up in product or factorial form.

 A college pep band is made up of 20 members.

a) If band director chooses 5 performers to march in front row, how many ways can he select 5 members out of the 20 available members?

b) If band director calls for five performers to march in front row, then indicates how they will be arranged from left to right, how many methods can he do this from the 20 available members?

Q2) Speed of cars travelling on I-85 in Gaston County is normally distributed with average speed (µ) of 66 MPH and standard deviation (σ) of 8 MPH.

If North Carolina Highway Patrol hands out speeding tickets to 15% of motorists travelling on I-85 in Gaston County who drive the fastest, what speed (to the nearest whole number) would motorist need to exceed to be quoted for speeding?