4 2 points Alice goes to the bank to make a withdrawal and is equally likely to

4 2 points alice goes to the bank to make a

This preview shows page 1 - 2 out of 2 pages.

4. (2 points) Alice goes to the bank to make a withdrawal, and is equally likely to find 0 or 1 customer ahead of her. The service time of the customer ahead, if present, is exponentially distributed with parameter λ . What is the CDF of Alice’s waiting time? 5. (3 points) Vehicles approaching a certain road junction from town A can either turn left, turn right or go straight on. Over time it has been noted that of the vehicles approaching this particular junction from town A, 55% turn left, 15% turn right and 30% go straight on. The direction a vehicle takes at the junction is independent of the direction any other vehicle takes at the junction. a. Find the probability that, of the next three vehicles approaching the junction from town A, one goes straight on and the other two either both turn left or both turn right. b. Three vehicles approach the junction from town A. Given that all three drivers choose the same direction at the junction, find the probability that they all go straight on. 6. (3 points) The volume of soup in Super Soup cartons has a normal distribution with mean μ millilitres and standard deviation 9 millilitres.
Image of page 1
Image of page 2

You've reached the end of your free preview.

Want to read both pages?

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes