SOLUTION: A sample space consists of five elements Ω = {a1, a2, a3, a4 ,a5}. For which of the following sets of probabilities does the corresponding triple (Ω,A,P) become a probability s

Algebra ->  Probability-and-statistics -> SOLUTION: A sample space consists of five elements Ω = {a1, a2, a3, a4 ,a5}. For which of the following sets of probabilities does the corresponding triple (Ω,A,P) become a probability s      Log On


   

Question 1140660: A sample space consists of five elements Ω = {a1, a2, a3, a4 ,a5}. For which of the following sets of probabilities does the corresponding triple (Ω,A,P) become a probability space? Why?
(a) p(a1) = 0.3, p(a2) = 0.2, p(a3) = 0.1, p(a4) = 0.1, p(a5) = 0.1.
(b) p(a1) = 0.4, p(a2) = 0.3, p(a3) = 0.1, p(a4) = 0.1, p(a5) = 0.1.
(c) p(a1) = 0.4, p(a2) = 0.3, p(a3) = 0.2, p(a4) = −0.1, p(a5) = 0.1.
(d) p(a1) = 0.4, p(a2) = 0.3, p(a3) = 0.2, p(a4) = 0.1, p(a5) = 0.1.

2. Suppose that a random variable X has a probability density function
f(x) = Ce−2x,
where C ∈ < is a constant and 0 < x < ∞. Calculate the probability that
2 < X < 5.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Of 4 given lines choose the line where all values are not negative and where the sum of probabilities is exactly and precisely equal to 1.00.