Solve the Problem $$\mu = \frac { \text { minimum } + \text { maximum } } { 2 } \text { and } \sigma = \frac { \text { range } } { \sqrt { 12 } }$$

question 4

Multiple Choice

Solve the problem.
-In a continuous uniform distribution, $$\mu = \frac { \text { minimum } + \text { maximum } } { 2 } \text { and } \sigma = \frac { \text { range } } { \sqrt { 12 } }$$
Find the mean and standard deviation for a uniform distribution having a minimum of $- 2$ and a maximum of 6

• A) \(\mu = 4 , \sigma = 2.31\)
• B) \(\mu = 2 , \sigma = 1.15\)
• C) \(\mu = 2 , \sigma = 2.31\)

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Definitions:

Likelihood

The probability of a particular outcome given a set of parameters within a statistical model.

Binomial Variable

A type of discrete variable that can take one of two independent values, often representing success or failure in an experiment.

Woman

A female human adult.

Sampling Error

The difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter.