Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed. Part: 0/5 Part 1 of 5 (a) n = 3, p=0.72, X= 1 P(X) =D Part: 1/5 Part 2 of 5 (b) n = 3, p=0.55, X 0 P(X) =D Part: 2 /5

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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Please solve problem. This is one problem with multiple parts answer each carefully
### Probability Exercise

#### Part 3 of 5

(c) Given: 
- \( n = 8 \)
- \( p = 0.38 \)
- \( X = 5 \)

Calculate: 
\[ P(X) = \]

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#### Progress Indicator

- Part: 3 / 5

A progress bar is shown indicating that the exercise is 60% complete.

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#### Part 4 of 5

(d) Given:
- \( n = 5 \)
- \( p = 0.45 \)
- \( X = 0 \)

Calculate:
\[ P(X) = \]

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#### Progress Indicator

- Part: 4 / 5

A progress bar is shown indicating that the exercise is 80% complete.

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#### Part 5 of 5

(e) Given:
- \( n = 3 \)
- \( p = 0.48 \)
- \( X = 1 \)

Calculate:
\[ P(X) = \]

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### Note:
In this exercise, you are required to calculate the probability \( P(X) \) for different sets of conditions in binomial distributions. Each part provides a specific set of parameters including the number of trials \( n \), the probability of success \( p \), and the number of successes \( X \).
Transcribed Image Text:### Probability Exercise #### Part 3 of 5 (c) Given: - \( n = 8 \) - \( p = 0.38 \) - \( X = 5 \) Calculate: \[ P(X) = \] --- #### Progress Indicator - Part: 3 / 5 A progress bar is shown indicating that the exercise is 60% complete. --- #### Part 4 of 5 (d) Given: - \( n = 5 \) - \( p = 0.45 \) - \( X = 0 \) Calculate: \[ P(X) = \] --- #### Progress Indicator - Part: 4 / 5 A progress bar is shown indicating that the exercise is 80% complete. --- #### Part 5 of 5 (e) Given: - \( n = 3 \) - \( p = 0.48 \) - \( X = 1 \) Calculate: \[ P(X) = \] --- ### Note: In this exercise, you are required to calculate the probability \( P(X) \) for different sets of conditions in binomial distributions. Each part provides a specific set of parameters including the number of trials \( n \), the probability of success \( p \), and the number of successes \( X \).
**Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed.**

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**Part: 0 / 5**

**Part 1 of 5**

(a) \( n = 3, \, p = 0.72, \, X = 1 \)

\[ P(X) = \square \]

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**Part: 1 / 5**

[Progress bar indicating progress toward completion of Part 1 of 5]

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**Part 2 of 5**

(b) \( n = 3, \, p = 0.55, \, X = 0 \)

\[ P(X) = \square \]

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**Part: 2 / 5**

[Progress bar indicating progress toward completion of Part 2 of 5]
Transcribed Image Text:**Compute the probability of X successes using the binomial formula. Round your answers to three decimal places as needed.** --- **Part: 0 / 5** **Part 1 of 5** (a) \( n = 3, \, p = 0.72, \, X = 1 \) \[ P(X) = \square \] --- **Part: 1 / 5** [Progress bar indicating progress toward completion of Part 1 of 5] --- **Part 2 of 5** (b) \( n = 3, \, p = 0.55, \, X = 0 \) \[ P(X) = \square \] --- **Part: 2 / 5** [Progress bar indicating progress toward completion of Part 2 of 5]
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