An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 750 tickets contain a prize of $5 each, 75 tickets have a prize of $10 each, 4 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let x be the random variable that denotes the net amount a player wins by playing this lottery. Write the probability distribution of x. Enter the exact answers. Enter your answers for x in increasing order. -2 X i 3 i P(x) 8 i ! 998 i 4998 i Determine the mean and standard deviation of x. Round your answers to two decimal places. Mean $i = Standard deviation = $ 53.8624 On average, the players who play this game are expected to lose く $ i per ticket with a standard deviation of $ 53.8624

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Question
An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 750 tickets contain a prize of $5 each, 75
tickets have a prize of $10 each, 4 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let x be the random variable
that denotes the net amount a player wins by playing this lottery.
Write the probability distribution of x.
Enter the exact answers. Enter your answers for x in increasing order.
-2
3
8
X
998
i
4998
i
P(x)
Determine the mean and standard deviation of x.
Round your answers to two decimal places.
Mean = i
Standard deviation = $ 53.8624
On average, the players who play this game are expected to
standard deviation of $ 53.8624
lose
SA
i
per ticket with a
Transcribed Image Text:An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 750 tickets contain a prize of $5 each, 75 tickets have a prize of $10 each, 4 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let x be the random variable that denotes the net amount a player wins by playing this lottery. Write the probability distribution of x. Enter the exact answers. Enter your answers for x in increasing order. -2 3 8 X 998 i 4998 i P(x) Determine the mean and standard deviation of x. Round your answers to two decimal places. Mean = i Standard deviation = $ 53.8624 On average, the players who play this game are expected to standard deviation of $ 53.8624 lose SA i per ticket with a
Expert Solution
steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL