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silverangel's avatar

How to solve this "statistics" problem?

Asked by silverangel (933 points ) May 4th, 2012

When Rohit plays a game, the number of points he receives is given by the discrete variable X with the following probablility distribution

Rohit can win a prize if the total number of points he has scored after 5 games is at least 10. After 3 games he has a total of 6 points. You may assume that the games are independant.

Find the probability that Rohit wins the price.

Further information that may be helpful:
E(x) =1
Var(x) =1

Can you please include explanation as well?
Thanks in advance :D

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5 Answers

elbanditoroso's avatar

Sounds a lot like homework to me. Especially the ‘explanation’ part.

silverangel's avatar

@elbanditoroso don’t worry, it’s not homework and I know the rules.
Besides I don’t need the entire answer, I just need some hints.

6rant6's avatar

You only have two rolls left. So make up a table – roll one on one axis, roll two on the other. You can easily calculate the probability of each combination occurring. Simply add up the winners.

LuckyGuy's avatar

Redefine the problem by forgetting about the previous three games. Figure he must score a 4 or more in two games.

silverangel's avatar

@6rant6 Thank you :D
@LuckyGuy Thanks a lot

You helped me a lot :)

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