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Probability mass function?
Consider the following game. Everybody has to press a button on a machine which results
in one of three possible outcomes:
The result 1 has probability p1 = 1/4.
The result 2 has probability p2 = 1/3.
The result 3 has probability p3 = 5/12.
Now everybody presses the button three times and adds up the results. This is the result
of the game.
1. Calculate the probability mass function for the game described above.
is this correct:
x1 (3 times 1) = 3 and p=1/64
x2 = 4 and p=1/48
x3= 5 and p=31/576
x4= 6 and p=31/432
x5= 7 and p=0.089699
x6= 8 and p=25/432
x7= 9 and p=0.072337
so for x4=6 the probability than should be 53/216....
Thx
2 Answers
- BeeFreeLv 79 years agoFavorite Answer
Christoph
Every probability mass function MUST sum up to 1.000.
If you add up your values, it does not add up to 1, so you are not done yet.
Hope that helped
- 4 years ago
keep in mind that f(x) = a million/x - a million/(x+a million) for x = a million, 2, .... for this reason, the partial sum of the needed n words equals a million - a million/(n+a million). enable n --> infinity to work out that the sum of the p.M.F. Is a million. E[X] is the sum of x/x(x+a million) = a million/(x+a million) for x = a million, 2, .... This series diverges, so the predicted worth is undefined as a effect.
