a) Give a probability mc of doing BOTH exper b) Give the event (explic joint experiment) wh probability, and why? c) Describe a possible "E which the probability ment" is in these term d) A student named Doug A and 'X' on Experime the joint experiment?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Transcription for Educational Website**

**Exercise: Joint Probability Experiment**

a) Give a probability model appropriate for the "compound" or "joint" experiment which consists of doing BOTH experiments A and B *independently* of each other.

b) Give the event (explicitly as a subset of the sample space in this probability model) for the joint experiment which corresponds to getting outcome "a" in Experiment A. What is its probability, and why?

c) Describe a possible "Experiment A" and "Experiment B." That is, describe experiments for which the probability models given above are suitable. Then explain what the "joint experiment" is in these terms and why the probability model you've given for it is suitable.

d) A student named Dougbert gave a probability model in which the event "got 'a,' on Experiment A and 'X' on Experiment B" had probability 0.1. Is Dougbert's model a reasonable model for the joint experiment? Explain.
Transcribed Image Text:**Transcription for Educational Website** **Exercise: Joint Probability Experiment** a) Give a probability model appropriate for the "compound" or "joint" experiment which consists of doing BOTH experiments A and B *independently* of each other. b) Give the event (explicitly as a subset of the sample space in this probability model) for the joint experiment which corresponds to getting outcome "a" in Experiment A. What is its probability, and why? c) Describe a possible "Experiment A" and "Experiment B." That is, describe experiments for which the probability models given above are suitable. Then explain what the "joint experiment" is in these terms and why the probability model you've given for it is suitable. d) A student named Dougbert gave a probability model in which the event "got 'a,' on Experiment A and 'X' on Experiment B" had probability 0.1. Is Dougbert's model a reasonable model for the joint experiment? Explain.
**Problem 3: Probability Models for Experiments**

Suppose you have the following probability models appropriate for two experiments, labeled experiment A and experiment B.

**Experiment A:**

- **Outcome:** e, d, c, b
- **Probability:**
  - f: 0.15
  - e: 0.05
  - d: 0.30
  - c: 0.10
  - b: 0.25

**Experiment B:**

- **Outcome:** X, Y, Z
- **Probability:**
  - X: 0.3
  - Y: 0.2
  - Z: 0.5

Call the probability model on the left the probability model for experiment A and the one on the right the probability model for experiment B.
Transcribed Image Text:**Problem 3: Probability Models for Experiments** Suppose you have the following probability models appropriate for two experiments, labeled experiment A and experiment B. **Experiment A:** - **Outcome:** e, d, c, b - **Probability:** - f: 0.15 - e: 0.05 - d: 0.30 - c: 0.10 - b: 0.25 **Experiment B:** - **Outcome:** X, Y, Z - **Probability:** - X: 0.3 - Y: 0.2 - Z: 0.5 Call the probability model on the left the probability model for experiment A and the one on the right the probability model for experiment B.
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