The table shows the various sums of money that can be won in playing a certain game and the associated probabilities of winning each amount. To play the game players must purchase a ticket for $350. X(in$"s) | P(X) 1000 200 | 0 2b 0.004 0.026 0.07 | 0.6 20000 2000 i. Find the value of b that will make the distribution a probability distribution. ii. Which amount is most frequently won by the players of the game? iii. Determine the standard deviation of the distribution

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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The table shows the various sums of money that can be won in playing a certain game
and the associated probabilitics of winning each amount. To play the game players must
purchase a ticket for $350.
20000 2000 | 1000 | 200
X(in$"s)
P(X)
0.004 0.026 0.07 | 0.6
2b
i. Find the value of b that will make the distribution a probability distribution.
ii. Which amount is most frequently won by the players of the game?
iii. Determine the standard deviation of the distribution
Transcribed Image Text:The table shows the various sums of money that can be won in playing a certain game and the associated probabilitics of winning each amount. To play the game players must purchase a ticket for $350. 20000 2000 | 1000 | 200 X(in$"s) P(X) 0.004 0.026 0.07 | 0.6 2b i. Find the value of b that will make the distribution a probability distribution. ii. Which amount is most frequently won by the players of the game? iii. Determine the standard deviation of the distribution
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