Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that 38 people are surveyed. What is the distribution of æ for this sample? a - N( c. What is the probability that the average birth month of the 38 people will be more than 4.8?
Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that 38 people are surveyed. What is the distribution of æ for this sample? a - N( c. What is the probability that the average birth month of the 38 people will be more than 4.8?
MATLAB: An Introduction with Applications
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![**Statistical Analysis of Birth Month Distribution**
Treat the number of months \(X\) after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible.
**a. Distribution of \(X\):**
What is the distribution of \(X\)?
\[X \sim U(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\]
**b. Distribution for a Sample of 38 People:**
Suppose that 38 people are surveyed. What is the distribution of \(\bar{x}\) for this sample?
\[\bar{x} \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\]
**c. Probability Calculation:**
What is the probability that the average birth month of the 38 people will be more than 4.8?
\[\_\_\_\_\_\_\_\_\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef4421a9-80f4-44ac-a84c-7924c290e1b7%2Fad048bba-8ed5-4a8d-8361-70c355ecc17d%2F2cr00uk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Analysis of Birth Month Distribution**
Treat the number of months \(X\) after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible.
**a. Distribution of \(X\):**
What is the distribution of \(X\)?
\[X \sim U(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\]
**b. Distribution for a Sample of 38 People:**
Suppose that 38 people are surveyed. What is the distribution of \(\bar{x}\) for this sample?
\[\bar{x} \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\]
**c. Probability Calculation:**
What is the probability that the average birth month of the 38 people will be more than 4.8?
\[\_\_\_\_\_\_\_\_\]
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