Solution Found!
The sample space of a random experiment is {a, b, c, d, e}
Chapter 2, Problem 59E(choose chapter or problem)
The sample space of a random experiment is {,
,
,
,
} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. Let
denote the event {a, b, c}, and let
denote the event {c, d, e}. Determine the following:
(a) \(P(A)\) (b) \(P(B)\) (c) \(P\left(A^{\prime}\right)\) (d)\(P(A \cup B)\) (e) \(P(A \cap B)\)
Equation transcription:
Text transcription:
P(A)
P(B)
P(A^{prime})
P(A cup B)
P(A cap B)
Questions & Answers
QUESTION:
The sample space of a random experiment is {,
,
,
,
} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. Let
denote the event {a, b, c}, and let
denote the event {c, d, e}. Determine the following:
(a) \(P(A)\) (b) \(P(B)\) (c) \(P\left(A^{\prime}\right)\) (d)\(P(A \cup B)\) (e) \(P(A \cap B)\)
Equation transcription:
Text transcription:
P(A)
P(B)
P(A^{prime})
P(A cup B)
P(A cap B)
ANSWER:Solution 59E
Step1 of 6:
From the given problem we have sample space S = {} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let us define an event A = {
} and event B = {
}.
Here our goal is:
a). We need to find
b). We need to find
c). We need to find
d). We need to find
e). We need to find
Step2 of 6:
a).
Let,
S = {}, A = {
} and B = {
}.
Probabilities values T = {0.1, 0.1, 0.2, 0.4, 0.2}.
Now,
P(A) = P(a) + P(b) + P(c)
= 0.1 + 0.1 + 0.2
= 0.4
Therefore. P(A) = 0.4.
Step3 of 6: