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In a continuous uniform distribution, a. Find the mean and
Chapter 6, Problem 50BB(choose chapter or problem)
In a continuous uniform distribution,
\(\mu = \text {minimum + maximum 2 and }\sigma=\text{range 12}\)
a. Find the mean and standard deviation for the distribution of the subway waiting times represented in Figure 62.
b. For a continuous uniform distribution with \(\mu=0\) and \(\sigma=1\) , the minimum is − 3 and the maximum is 3 . For this continuous uniform distribution, find the probability of randomly selecting a value between − 1 and 1, and compare it to the value that would be obtained by incorrectly treating the distribution as a standard normal distribution. Does the distribution affect the results very much?
Equation Transcription:
Text Transcription:
mu=minimum+maximum 2 and sigma=range 12
mu=0
sigma=1
Questions & Answers
QUESTION:
In a continuous uniform distribution,
\(\mu = \text {minimum + maximum 2 and }\sigma=\text{range 12}\)
a. Find the mean and standard deviation for the distribution of the subway waiting times represented in Figure 62.
b. For a continuous uniform distribution with \(\mu=0\) and \(\sigma=1\) , the minimum is − 3 and the maximum is 3 . For this continuous uniform distribution, find the probability of randomly selecting a value between − 1 and 1, and compare it to the value that would be obtained by incorrectly treating the distribution as a standard normal distribution. Does the distribution affect the results very much?
Equation Transcription:
Text Transcription:
mu=minimum+maximum 2 and sigma=range 12
mu=0
sigma=1
ANSWER:
Answer:
Step 1:
Consider the following figure,
a). We have to Find the mean and standard deviation for the distribution of the subway waiting times represented in the given Figure.
The mean for the distribution of the subway waiting times is:
The minimum value is 0 and the maximum value is 5 for the subway waiting time.
=
The mean for the distribution of the subway waiting times is 2.5.
The variance for the distribution of the subway waiting times is:
Variance =
= 1.4434
The variance for the distribution of the subway waiting times is 1.44.