The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( then the sampling distribution is b. Suppose that 37 classes are clocked. What is the distribution of for this group of classes? ¤ ~ N( c. What is the probability that the average of 37 classes will end with the second hand between 23 and 27 seconds?

The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( then the sampling distribution is b. Suppose that 37 classes are clocked. What is the distribution of for this group of classes? ¤ ~ N( c. What is the probability that the average of 37 classes will end with the second hand between 23 and 27 seconds?

Name: **Problem: Distribution and Probability**The number of seconds $ X \
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Description: **Problem: Distribution and Probability**The number of seconds \( X $ after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible.a. What is the distribution of $ X $? \[ X \si

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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Contingency Table

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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

**Problem: Distribution and Probability**

The number of seconds $ X $ after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible.

a. What is the distribution of $ X $?
\[ X \sim U(0, 60) \]

Then the sampling distribution is

b. Suppose that 37 classes are clocked. What is the distribution of $ \bar{x} $ for this group of classes?
\[ \bar{x} \sim N \left( \frac{60}{2}, \frac{60}{\sqrt{12 \times 37}} \right) \]

c. What is the probability that the average of 37 classes will end with the second hand between 23 and 27 seconds?
\[ \text{Probability} = P(23 < \bar{x} < 27) \]

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