The speed at which you can log into a website through asmartphone is an important quality characteristic of that website. In a recent test, the mean time to log into the JetBlue Airwayswebsite through a smartphone was 4.237 seconds. (Data extractedfrom N. Trejos, “Travelers Have No Patience for Slow MobileSites,” USA Today, April 4, 2012, p. 3B.) Suppose that the downloadtime is normally distributed, with a standard deviation of1.3 seconds. What is the probability that a download time isa. less than 2 seconds?
b. between 1.5 and 2.5 seconds?
c. above 1.8 seconds?
d. Ninety-nine percent of the download times are slower (higher)than how many seconds?
e. Ninety-five percent of the download times are between whattwo values, symmetrically distributed around the mean?

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76