- #1
songoku
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- Homework Statement
- A fair cubical die has two yellow faces and four blue faces. In one game, the die is rolled repeatedly until yellow face appears uppermost. The maximum number of throw is 4. The random variable X represents the number of times blue face appears uppermost and random variable Y represents the number of times the die is rolled.
a. Find P(X = 3)
b. Find the probability distribution of X
c. Find E(X)
d. Find P(Y = 4)
e. P(Y = X)
f. If the game is repeated 200 times, write down (do not evaluate) an expression for the probability obtaining X = 3 exactly 25 times.
g. Use appropriate approximation, calculate the probability of question (f)
- Relevant Equations
- Not sure
a. P(X = 3) = (4/6) x (4/6) x (4/6) x (2/6) = 8/81
b. X ~ Geo (2/3)
Is this correct?
Thanks
b. X ~ Geo (2/3)
Is this correct?
Thanks