Probability Distribution of Coin Tosses

Probability Distribution

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Question

What is the following table called?

Number of Heads Probability of Outcome

01/8 = 0.125

13/8 = 0.375

23/8 = 0.375

31/8 = 0.125

Total 8/8 = 1.000 -

Answers

Explanations

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A. B. C. D. E.

C

The table gives both the outcomes and probability of each outcome. Therefore it is a probability distribution table.

The table provided represents a distribution of probabilities associated with different outcomes. Each row in the table corresponds to a specific outcome, and the second column represents the probability associated with that outcome. The table is structured in a tabular format with headings for each column.

Let's analyze the given options to determine which one accurately describes the table:

A. Ogive: An ogive is a graphical representation of a cumulative frequency distribution. It is not applicable to the given table since no cumulative frequencies or graphical representation are provided.

B. Standard deviation: The standard deviation is a measure of the dispersion or variability of a set of values. It is not relevant to the given table since it does not provide a set of values to calculate the standard deviation.

C. Probability distribution: A probability distribution is a mathematical function that describes the likelihood of different outcomes in a sample space. The given table precisely represents a probability distribution since it presents different outcomes and their associated probabilities.

D. None of these answers: This option can be eliminated since the table does represent a concept related to probability and statistics.

E. Frequency table: A frequency table is a tabular representation of the number of occurrences of each value or category in a dataset. The given table does not display frequencies but rather probabilities associated with specific outcomes, so this option is not applicable.

Based on the analysis, the correct answer is C. Probability distribution, as it accurately describes the table and its contents.