Assume that a procedure yields a binomial distribution with n = 35 trials and the probability of success for one trial is p = 0.24. Find the mean for this binomial distribution. Round your answer to at least one decimal. Find the standard deviation for this distribution. Round your answer to at least two decimals. Submit Question

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Problem Statement**

Assume that a procedure yields a binomial distribution with \( n = 35 \) trials and the probability of success for one trial is \( p = 0.24 \).

1. Find the mean for this binomial distribution. Round your answer to at least one decimal.
   \[
   \mu = \_\_\_\_\_\_\_\_
   \]

2. Find the standard deviation for this distribution. Round your answer to at least two decimals.
   \[
   \sigma = \_\_\_\_\_\_\_\_
   \]

**Explanation of Graphs or Diagrams**

No additional graphs or diagrams are provided for this problem. 

**Instructions**

To solve this problem, use the following formulas for a binomial distribution:

1. The mean (μ) of a binomial distribution is given by the formula:
   \[
   \mu = n \cdot p
   \]
   
2. The standard deviation (σ) of a binomial distribution is given by the formula:
   \[
   \sigma = \sqrt{n \cdot p \cdot (1 - p)}
   \]

Given:
- \( n = 35 \)
- \( p = 0.24 \)

**Solution**

1. Calculate the mean (μ):
   \[
   \mu = 35 \cdot 0.24
   \]
   (Perform the calculations and round your answer to one decimal place.)

2. Calculate the standard deviation (σ):
   \[
   \sigma = \sqrt{35 \cdot 0.24 \cdot (1 - 0.24)}
   \]
   (Perform the calculations and round your answer to two decimal places.)

Once you have completed the calculations, input the results in the provided spaces and click "Submit Question."
Transcribed Image Text:**Problem Statement** Assume that a procedure yields a binomial distribution with \( n = 35 \) trials and the probability of success for one trial is \( p = 0.24 \). 1. Find the mean for this binomial distribution. Round your answer to at least one decimal. \[ \mu = \_\_\_\_\_\_\_\_ \] 2. Find the standard deviation for this distribution. Round your answer to at least two decimals. \[ \sigma = \_\_\_\_\_\_\_\_ \] **Explanation of Graphs or Diagrams** No additional graphs or diagrams are provided for this problem. **Instructions** To solve this problem, use the following formulas for a binomial distribution: 1. The mean (μ) of a binomial distribution is given by the formula: \[ \mu = n \cdot p \] 2. The standard deviation (σ) of a binomial distribution is given by the formula: \[ \sigma = \sqrt{n \cdot p \cdot (1 - p)} \] Given: - \( n = 35 \) - \( p = 0.24 \) **Solution** 1. Calculate the mean (μ): \[ \mu = 35 \cdot 0.24 \] (Perform the calculations and round your answer to one decimal place.) 2. Calculate the standard deviation (σ): \[ \sigma = \sqrt{35 \cdot 0.24 \cdot (1 - 0.24)} \] (Perform the calculations and round your answer to two decimal places.) Once you have completed the calculations, input the results in the provided spaces and click "Submit Question."
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