Analyze the scenario and complete the following: i. Complete the discrete probability distribution for the given variable. ii. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,500, 10 first prizes of $400, 20 second prizes of $100, and 70 third prizes of $50.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Analyze the scenario and complete the following:
i. Complete the discrete probability distribution for the given variable.
ii. Calculate the expected value and variance of the discrete probability
distribution.
The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize
of $4,500, 10 first prizes of $400, 20 second prizes of $100, and 70 third prizes of
$50.
ii.
H
P(x)
0
Round probabilities to 4 decimal places
E(X)=
Round to 2 decimal places
50
Var (X) =
Round to 2 decimal places
100
400
4,500
Transcribed Image Text:Analyze the scenario and complete the following: i. Complete the discrete probability distribution for the given variable. ii. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,500, 10 first prizes of $400, 20 second prizes of $100, and 70 third prizes of $50. ii. H P(x) 0 Round probabilities to 4 decimal places E(X)= Round to 2 decimal places 50 Var (X) = Round to 2 decimal places 100 400 4,500
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