If a sample space consists of 8 outcomes, then the number of events containing 3 outcomes...
An experiment consists of tossing two dice. a) List all outcomes in the sample space Ω b) List the outcomes contained in each event: A- at least one 4 is rolled B-both dice land on an even number D-AUB E A. Describe event E in words. Do not just say "it is the complement of 25
Events A and B are defined on the same sample space that has 20 outcomes. A∩B includes 3 outcomes, AC∩B includes 5 outcomes and A∩BC includes 6 outcomes. How many outcomes are in (A∪B)C?
The __________ of event X consists of all sample space outcomes that do not correspond to the occurrence of event X. A. Independence B. Complement C. Conditional probability D. Dependence
Problem 1.2 As we saw in class, if a sample space S consists of a finite number of outcomes, then it is possible to assign each outcome its own probability. In this special case, the proba bility of an event can be calculated by adding up the probabilities of its individual outcomes. Specifically, if E s1,s2,, Sm), then Additionally, if all outcomes are equally likely, this formula simplifies to P[El-# of outcomes in E ] _ #Of outcomes in S...
find The number of outcomes in the sample space for the gender of the children if a family has 5 children
22. The sample space of equally likely outcomes for the experiment of rolling two fair dice is 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53 54 55 56 61 62 63 64 65 66 Identify the events N: the sum is at least nine. T: at least one of the dice is a two, and Fat least one of the dice...
3. Suppose that A and B are two events defined over the same sample space, with probabilities P(A) 3/4 and P(B)- 3/8. (a) Show that P(A UB) 2 3/4. (b) Show that 1/8 < P(AB) 3/8 (c) Give inequalities analogous to (a) and (b) for P(A) 2/3 and P(B)1/2.
Suppose a sample space consists of five elementary outcomes e1, e2, e3, e4, e5with the characteristics that e1, e4, and e5are equally likely, e2is twice as likely ase1and e3is four times as likely as e1. a. DetermineP(ei) for i = 1, 2, ... 5 b. IfA = {e3, e4}, find P( A ).
1. Two dices are thrown (a) List the elements of the sample space. (b) List the outcomes that define the following events. E: At least one of the dice rolls on 6. he same number . F: Both dice roll on t . G: The sum of the dice is odd H: The number on the first die is larger than the number on the second die. (c) Explain whether the following events are mutually exclusive or not (i) E...
Consider the sample space S = {-3,-1, 0, 2, 4} and the events A = {-1, 0}, B = {0, 2}, and C = {-3, 0, 4} derived from the discrete random variable X. Let the probability of each outcome be as listed in the table below. Outcome (X) Probability −3 0.10 −1 0.20 0 0.30 2 c 4 0.25 Outcome (X) l Probability -3 0.10 -1 0.20 0 0.30 2 c 4 0.25 a) Find the value of the...