he Florida lottery has a game called Pick 4 where a player pays $1 and then picks a sequence of four numbers 0-9 (e.g., 1234, 0389, 9020). If the four numbers come up in the order you picked, then you win $2000.

a) Write the probability distribution for a player's winnings.

Fill in the table below. Enter the left column values from smallest to largest. Round solutions to four decimal places, if necessary.

x

x

P

(

x

)

P(x)

1

Correct

0.9999

Correct

2299

Incorrect

0.00001

Incorrect

b) What are your expected winnings? Round the solution to two decimal places (since this value is interpreted as dollars).

E

(

x

)

=

E(x)=