The speed of a file transfer from a server on campus to a pe…

The speed of a file transfer from a server on campus to a personal computer at a student’s home on a weekday evening is normally distributed with a mean of 63 kilobits per second and a standard deviation of four kilobits per second.   What is the probability that the file will transfer at a speed of 70 kilobits per second or more?

Your exercise routine requires you to travel to the gym, com…

Your exercise routine requires you to travel to the gym, complete your workout, and return home. Suppose that the proportion of the total time for travel to the time at the gym follows a beta distribution with α = 0.5 and β =1.   What is the probability that the proportion of time for travel to the gym exceeds 0.68?