Question

1. Jenny is an elementary school student and her father Jack works near her school. Every day, Jack sends Jenny to school first, and then he drives to work. According the experience from the past, Jenny has 90% chance of being school on time, and Jack has 85% chance of arriving to work on time. However, if Jenny is late to school, Jack has 80% chance of being late to work.

   1. (a) In a particular day, what is the probability that both Jenny and Jack are late?

   2. (b) In a particular day, what is the probability that Jenny arrives school on time

      but Jack is late to work?

   3. (c) Is the lateness of Jenny and Jack independent? Why?

Answer 1