Ei E₂. E3. A E5. B Consider the experiment depicted by the Venn diagram, with the sample space S containing five sample points. The sample points are assigned the probabilities P(E)=0.3, P(E2)=0.2, P(E3)=0.3, P(E4)=0.1, and P(E5) 0.1. Complete parts a through d. Ex. a. Calculate P(A), P(B), and P(ANB). P(A)=0.8 (Type an integer or a decimal.) P(B)=0.6 (Type an integer or a decimal.) P(ANB) 0.5 (Type an integer or a decimal.) b. Suppose event A has occurred, so that the reduced sample space consists of the three sample points in A—namely, E1, E2, and E3. Use the formula for conditional probability to adjust the probabilities of these three sample points for the knowledge that A has occurred [i.e., P(EIA)]. Find the ratio of the conditional probabilities to verify that they are in the same proportion to one another as the original sample point probabilities. Calculate P(EIA), P(E2IA), and P(E3A). == P(E₁IA) = P(EIA) = P(E3IA) = (Type integers or decimals.)
Ei E₂. E3. A E5. B Consider the experiment depicted by the Venn diagram, with the sample space S containing five sample points. The sample points are assigned the probabilities P(E)=0.3, P(E2)=0.2, P(E3)=0.3, P(E4)=0.1, and P(E5) 0.1. Complete parts a through d. Ex. a. Calculate P(A), P(B), and P(ANB). P(A)=0.8 (Type an integer or a decimal.) P(B)=0.6 (Type an integer or a decimal.) P(ANB) 0.5 (Type an integer or a decimal.) b. Suppose event A has occurred, so that the reduced sample space consists of the three sample points in A—namely, E1, E2, and E3. Use the formula for conditional probability to adjust the probabilities of these three sample points for the knowledge that A has occurred [i.e., P(EIA)]. Find the ratio of the conditional probabilities to verify that they are in the same proportion to one another as the original sample point probabilities. Calculate P(EIA), P(E2IA), and P(E3A). == P(E₁IA) = P(EIA) = P(E3IA) = (Type integers or decimals.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
4-2
![Ei
E₂.
E3.
A
E5. B
Consider the experiment depicted by the Venn diagram,
with the sample space S containing five sample points.
The sample points are assigned the probabilities
P(E)=0.3, P(E2)=0.2, P(E3)=0.3, P(E4)=0.1, and
P(E5) 0.1. Complete parts a through d.
Ex.
a. Calculate P(A), P(B), and P(ANB).
P(A)=0.8 (Type an integer or a decimal.)
P(B)=0.6 (Type an integer or a decimal.)
P(ANB) 0.5 (Type an integer or a decimal.)
b. Suppose event A has occurred, so that the reduced sample space consists of the three sample points in
A—namely, E1, E2, and E3. Use the formula for conditional probability to adjust the probabilities of these three
sample points for the knowledge that A has occurred [i.e., P(EIA)]. Find the ratio of the conditional probabilities to
verify that they are in the same proportion to one another as the original sample point probabilities.
Calculate P(EIA), P(E2IA), and P(E3A).
==
P(E₁IA) = P(EIA) = P(E3IA) = (Type integers or decimals.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F963f7515-03fc-48e7-b6eb-dd7da14fe76e%2F6b9be1e7-fa44-42f3-b501-8e1607d0bf10%2Fg938sht_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ei
E₂.
E3.
A
E5. B
Consider the experiment depicted by the Venn diagram,
with the sample space S containing five sample points.
The sample points are assigned the probabilities
P(E)=0.3, P(E2)=0.2, P(E3)=0.3, P(E4)=0.1, and
P(E5) 0.1. Complete parts a through d.
Ex.
a. Calculate P(A), P(B), and P(ANB).
P(A)=0.8 (Type an integer or a decimal.)
P(B)=0.6 (Type an integer or a decimal.)
P(ANB) 0.5 (Type an integer or a decimal.)
b. Suppose event A has occurred, so that the reduced sample space consists of the three sample points in
A—namely, E1, E2, and E3. Use the formula for conditional probability to adjust the probabilities of these three
sample points for the knowledge that A has occurred [i.e., P(EIA)]. Find the ratio of the conditional probabilities to
verify that they are in the same proportion to one another as the original sample point probabilities.
Calculate P(EIA), P(E2IA), and P(E3A).
==
P(E₁IA) = P(EIA) = P(E3IA) = (Type integers or decimals.)
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