For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent ) P(A) = P(@) - P(A) - (e) P() - P() = P(AIB) D %3D %3D %3D 1 (9) P(4)=:P(B)=승: P(BIA)-글 %3D (o) P(4)=: P(B)=극 P(BIA)-극

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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For each set of probabilities, determine whether the events A and B are independent or dependent.
(If necessary, consult a list of formulas.)
Probabilities
Independent
Dependent
(a) P(4)-극,P(B)- 극
1
1
P (A|B) =
6.
1
P(B) =
2
%3D
%3D
%3D
2
1
1
(b) P(A)=-;P(B) =; P (A|B) =
%3D
6.
1
1
(c) P(A)=-;P(B)= =
P(BIA)=
%3D
%3D
%3D
3
6.
1
1
(d) P(A)=: P(B)= P(BIA)=극
P (B)=
1
P(B|A)
%3D
%3D
%3D
1.
Transcribed Image Text:For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent (a) P(4)-극,P(B)- 극 1 1 P (A|B) = 6. 1 P(B) = 2 %3D %3D %3D 2 1 1 (b) P(A)=-;P(B) =; P (A|B) = %3D 6. 1 1 (c) P(A)=-;P(B)= = P(BIA)= %3D %3D %3D 3 6. 1 1 (d) P(A)=: P(B)= P(BIA)=극 P (B)= 1 P(B|A) %3D %3D %3D 1.
Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -1, 3, 4, 5, and 6.
P(X = x)
Value x of X
- 1
0.25
3
0.16
4
0.24
6.
Transcribed Image Text:Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -1, 3, 4, 5, and 6. P(X = x) Value x of X - 1 0.25 3 0.16 4 0.24 6.
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