Språkstatistik HT95:05

Class:   05
Date:    950919
Topic:   Functions of stochastic variables

Homework exercises 5

1. We thow two dice The stochastic variable E1 stands for the total of the two dice.
   • What values can E1 produce?
   • Give the frequency function for E1.
   • Give the distribution function for E1.
   • Compute the average of E1.
   • Compute the variance of E1

2. A lottery organisation sell 100.000 lottery tickets for SEK 1 per ticket. They give away 1 price of SEK 10.000, 10 prices of SEK 1000, 100 prices of SEK 100, 1000 prices of SEK 10 and 10.000 prices of SEK 1. The stochastic variable E1 stands for the price money awarded to one ticket.
   • What values can E2 produce?
   • Give the frequency function for E2.
   • Give the distribution function for E2.
   • Compute the average of E2.
   • Compute the variance of E2