In getting crowd for a consumer exhibition, the organizer runs a lucky draw during the event. Out of a total of 5,000 tickets printed for this lucky draw, 500 tickets contain a prize of $5 each, 50 tickets have a prize of $10 each, 5 tickets have a prize of $1000 each, and 1 ticket has a prize of $10,000. Let x be the random variable that denotes the amount of prize a participant may win by playing this lucky draw. i. Compute the probability distribution of x, P(x).  X P(X) ii. Determine the mean and standard deviation of x.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 46E: Assume that a survey of 282 people is taken to determine the opinions of doctors, teachers, and...
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In getting crowd for a consumer exhibition, the organizer runs a lucky draw during
the event. Out of a total of 5,000 tickets printed for this lucky draw, 500 tickets
contain a prize of $5 each, 50 tickets have a prize of $10 each, 5 tickets have a prize
of $1000 each, and 1 ticket has a prize of $10,000.
Let x be the random variable that denotes the amount of prize a participant may win
by playing this lucky draw.
i. Compute the probability distribution of x, P(x). 

X
P(X)

ii. Determine the mean and standard deviation of x.

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