The Random Variable X Is the Number of Occurrences of an Event

question 21

Multiple Choice

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is

• A) .0241.
• B) .0771.
• C) .1126.
• D) .9107.

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Definitions:

Symmetric Distribution

A distribution where the left and right sides are mirror images of each other around the central point.

Skewed Distribution

A probability distribution that is not symmetrical, where one tail is longer or fatter than the other.

Bell Shaped

A bell-shaped distribution refers to a data distribution that is symmetric and has a single peak in the middle, resembling the shape of a bell, commonly associated with the normal distribution.

Summarization Techniques

Methods or strategies used to condense large sets of data or information into a more manageable and understandable format, highlighting the main points.