This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Y where P ( Y = ) = 1. Question 5: (5 marks). In a grocery store checkout line, it has been found that the average time to process a customer is a r.v. X with a mean of 5 minutes and a standard deviation of 2 minutes. Use the CLT to approximate 1 the probability that 50 customers can go through the checkout line in less than 4 hours. Question 6: (8 marks). Let Y Uniform[0 , 1], and let X n = Y n . Show that { X n } converges with probability 1 to the degenerate r.v. X where P ( X = 0) = 1. Question 7: (5 marks). Let X 1 ,X 2 ,... be an innite sequence of continuous r.v.s such that f X n ( x ) = ( ( n + 1) x n , < x < 1 , , otherwise. Show that { X n } converges in distribution to the degenerate r.v. X where P ( X = 1) = 1. 2...
View
Full
Document
 Spring '11
 peskun
 Math

Click to edit the document details