​Let X Be a Random Variable That Is Normally Distributed

question 26

Multiple Choice

​Let x be a random variable that is normally distributed with the given mean and standard deviation Find the probability using a symbolic integration utility.Round your answer to four decimal places. ​

• A) ​0.3085
• B) ​0.2525
• C) ​0.1908
• D) ​0.1223
• E) ​0.1695

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Definitions:

Normally Distributed

Describing a distribution that follows a normal curve, with most observations clustering around the mean and tapering off symmetrically towards the extremes.

Sign Test

A non-parametric test used to evaluate the difference between the median of a paired sample and a hypothesized value.

Identical Medians

The statistical assessment that two or more groups have the same median value in their data distributions.

Identical Probability Distributions

Probability distributions that are exactly the same in terms of their statistical properties such as mean, variance, and skewness.