This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Probability of success Exercise 1. Let x be a discrete random variable. Its mass function f(x) is tabulated below: X 1 2 3 4 f(x) 0.2 0.4  0.2 a) Compute f(3) b) Calculate the cdf F(x) of X for x=1, 2, 3, 4. What is the value of F(3.3)? 2. Traffic on a road is passing a point at rate of 300 vehicles per hour. Determine the probability that exactly 4 vehicles pass in a period of 30 seconds. Compare the results using the following. a) Binomial distribution b) Poisson distribution 3. n = 300, p = 0.007, what is the probability of exactly 6 success using binomial and Poisson distribution approximation? 4. The number of claims received per business day at an insurer’s office follows a Poisson distribution with a mean of 2.4. Determine the probability that there are two or more days in the next five business days with three or more claims each....
View
Full
Document
 Spring '08
 SMSLee
 Statistics, Poisson Distribution, Probability, Probability theory, Cumulative distribution function, Discrete probability distribution, 30 seconds, University of Hong Kong Department of Statistics

Click to edit the document details