Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Chapter 8.5, Problem 45E
(A)
To determine
To calculate: The net gain or loss of placing a bet of $1 on number 13 in each of the 200 games using the given figure B.
(B)
To determine
The comparison of results of part (A) with the expected value of the game.
(C)
To determine
To calculate: The result of simulation of placing a bet of $1 on the number 7 in each of the 500 games. Compare the results of simulated and expected gain or loss.
1. Sketch the following sets and determine which are domains:
(a) |z−2+i| ≤ 1;
-
(c) Imz> 1;
(e) 0≤ arg z≤ л/4 (z ± 0);
Ans. (b), (c) are domains.
(b) |2z+3| > 4;
(d) Im z = 1;
-
(f) | z − 4| ≥ |z.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
9. The concentration function of a random variable X is defined as
Qx(h) = sup P(x ≤ X ≤x+h), h>0.
Show that, if X and Y are independent random variables, then
Qx+y (h) min{Qx(h). Qr (h)).
Chapter 8 Solutions
Pearson eText for Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
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