Answer these questions...Show all calculations:

1. The probability distribution below lists the number oflosingscratch off lottery tickets and the corresponding probability.

xP(x)

00.009

10.192

20.370

30.429

1. What is the variable?Is it discrete random or continuous random?Explain.(3)

1. Verify that this is a probability distribution.(2)

1. What is the probability of losing at most 2 losing tickets?(2)

1. Calculate the expected value of the distribution.Interpret the result.(3)