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Suppose a 6-sided die is weighted to create the following probability distribution. Determine P(6). Outcome 1 2 3 4 6. Probability 0.05 0.33 0.02 0.29 0.03 Let E be the event of rolling an even number. Determine P(E). P(E) = Let F be the event of rolling a prime number. Determine P(F). P(F) =

Suppose a 6-sided die is weighted to create the following probability distribution. Determine P(6). Outcome 1 2 3 4 6. Probability 0.05 0.33 0.02 0.29 0.03 Let E be the event of rolling an even number. Determine P(E). P(E) = Let F be the event of rolling a prime number. Determine P(F). P(F) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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# Probability Distribution of a Weighted Die Suppose a 6-sided die is weighted to create the following probability distribution. Determine \( P(6) \). | Outcome | 1 | 2 | 3 | 4 | 5 | 6 | |-------------|-----|-----|-----|-----|-----|-----| | Probability | 0.05| 0.33| 0.02| 0.29| 0.03| | ## Tasks 1. Let \( E \) be the event of rolling an even number. Determine \( P(E) \). \( P(E) = \) 2. Let \( F \) be the event of rolling a prime number. Determine \( P(F) \). \( P(F) = \) **Note:** To solve these problems, fill in the probability for outcome 6 from the distribution, then use the definitions of even and prime numbers to calculate the requested probabilities. Finally, click "Submit answer" to check your understanding.
Transcribed Image Text:# Probability Distribution of a Weighted Die Suppose a 6-sided die is weighted to create the following probability distribution. Determine \( P(6) \). | Outcome | 1 | 2 | 3 | 4 | 5 | 6 | |-------------|-----|-----|-----|-----|-----|-----| | Probability | 0.05| 0.33| 0.02| 0.29| 0.03| | ## Tasks 1. Let \( E \) be the event of rolling an even number. Determine \( P(E) \). \( P(E) = \) 2. Let \( F \) be the event of rolling a prime number. Determine \( P(F) \). \( P(F) = \) **Note:** To solve these problems, fill in the probability for outcome 6 from the distribution, then use the definitions of even and prime numbers to calculate the requested probabilities. Finally, click "Submit answer" to check your understanding.
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