Z is a random variable that counts the number of heads minus the number of tails on the toss of three fair coins.
(a) Assign a value z to each element of the sample space.
(b) Find the probability distribution of Z.
(c) Confirm that the answer in b is a probability distribution.
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Below is a probability table for the for the throw of a single dice.
xi | 1 | 2 | 3 | 4 | 5 | 6 | P(X = xi) | 1-5t | t | 1-5t | t | 1-5t | t |
(a) Find the value of t
(b) What is the probability of throwing less than a five?
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Below is a probability table
xi | 0 | 1 | 2 | 3 | P(X = xi) | 4c | 5c | 8c | 13c |
(a) Find the value of c.
(b) Confirm it is a probability distribution.
(C) What is P(X > 1)?
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An urn contains six red balls and seven green balls. One ball is drawn and its color noted. The ball is not replaced. Another ball is drawn and its color noted.
(a) Find the probability distribution of the number of red balls drawn.
(b) Confirm that the answer in (a) is a probability distribution.
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