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WGU statistics final exam Questions and Answers.pdf
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8/23/24, 8:42 PMWGU statistics
Jeremiah
Practice questions for this set
Terms in this set (87)
The probability of any event is between one For any event A, 0 ≤ P(A) ≤ 1.
and o. What is the equation for this?
The sum of all possible probabilities is___? One, the equation is :P(S) = 1
What is the complement rule? or the P(not A) = 1 - P(A)
probability that an event does not occur is 1
WGU statistics
minus the probability that it does occur.
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, 8/23/24, 8:42 PM
In probability, "OR" means either one or the P(A or B) = P(event A occurs or event B occurs or both occur)
other or both.
Two events that cannot occur at the same disjoint or mutually exclusive
time are called
The Addition Rule for Disjoint Events: If A and B are disjoint events, then P(A or B) = P(A) + P(B).
P(A and B) = P(event A occurs and event B occurs)
The idea of disjoint events is is about whether or not it is possible for the events to occur at the same time
whether or not the events affect each other in the sense that the occurrence of one
The idea of independent events is about
event affects the probability of the occurrence of the other
If A and B Disjoint A and B can not be indepentdent
If A and B are two independent events P(A and B) = P(A) * P(B).
(Multiplication Rule)
if A, B and C are three independent events, P(A and B and C) = P(A) P(B) P(C)
The Complement Rule, P(A) = 1 - P(not A),
P(L) = 1 - P(not L) = 1 - P(not O1 and not O2 Applying the Multiplication rule:Now, using the multiplication rule, = 1 - (.56 .56 .56 .56
and not O3 and not O4 and not O5 and not .56 .56 .56 .56 .56 * .56) = 1 - .003 = .997.
O6 and not O7 and not O8 and not O9 and
not O10).
P(at least one person chosen has blood type P((O and O) or (O and not O) or (not O and O)) = (.44 .44) + (.44 .56) + (.56 * .44) =
O) .6864.
If A and B are disjoint events - P(A and B)= 0
The General Addition Rule states that for any P(A or B) = P(A) + P(B) - P(A and B)
two events,
When each of two outcomes has two there are four possible combinations altogether, which correspond to the four possible
possible values (yes/no), outcomes.
How do we build a two-way table of Horizontally, A, not A and total, Vertically, B. not B and total
probabilities?
In a two-way table of probabilities, what is 1
the total of all outcomes (lower right
corner?)
P(B | A) = P(B)
P(A | B) = P(A)
Two events A and B are independent if any
one of the following hold:
P(B | A) = P(B | not A)
P(A and B) = P(A) * P(B)
In general, another method for checking the P(A and B) to P(A) * P(B). If the two are equal, then A and B are independent, otherwise
independence of events A and B is to the two are not independent.
compare
"one in every thousand people (0.001) of all P(H) = .001
individuals are infected with HIV (H) - give
equasion
If someone actually has HIV, the probability P(T | H) = .95
of testing positive is .95" (H) give equasion
WGU statistics
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