planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results. ... Find the mean of the binomial distribution. μ = (Round to two decimal places as needed.)
planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results. ... Find the mean of the binomial distribution. μ = (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Text for Educational Website:**
**Understanding the Binomial Distribution**
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.
---
**Task: Find the Mean of the Binomial Distribution**
Calculate the mean (μ) using the following formula for a binomial distribution:
\[ \mu = n \times p \]
Where:
- \( n = 5 \) (number of trials or adults selected)
- \( p = 0.68 \) (probability that an adult believes life on other planets is plausible)
Round your answer to two decimal places as needed.
\[ \mu = \]
[Input Box]
---
**Note:** After finding the mean, you can proceed with calculating the variance and standard deviation based on the mean and the given probability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b6c70d-8de6-4ced-ba13-39b6b43ecdee%2F87a85bd7-f0fe-44e3-879b-43aab41dd099%2Ffdkgts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text for Educational Website:**
**Understanding the Binomial Distribution**
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.
---
**Task: Find the Mean of the Binomial Distribution**
Calculate the mean (μ) using the following formula for a binomial distribution:
\[ \mu = n \times p \]
Where:
- \( n = 5 \) (number of trials or adults selected)
- \( p = 0.68 \) (probability that an adult believes life on other planets is plausible)
Round your answer to two decimal places as needed.
\[ \mu = \]
[Input Box]
---
**Note:** After finding the mean, you can proceed with calculating the variance and standard deviation based on the mean and the given probability.
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