Answer Happy

A Stat 510 student works at the IT Help Desk at Hale Library. She works there Tuesdays and Thursdays 6 pm - 10 pm and on Sunday 1 pm - 5 pm. On average, she receives 2.4 walk-ins per shift on Tuesdays and Thursdays and 3.2 walk-ins on Sundays. Assume walk-in arrivals occur randomly at a constant rate, and different periods of time are independent. Assume that the proportion of walk-in problems that have a quick solution follows a Beta distribution.

3. If a = 50, and B = 25, what is the probability that tomorrow the proportion of walk- in problems that have a quick solution is more than 60%? (Use four digits after the decimal point, e.g., 0.1234)