A Baseball Player Is Asked to Swing at Pitches in Sets

question 31

Multiple Choice

A baseball player is asked to swing at pitches in sets of four. The player swings at 100 sets of 4 pitches. Theprobability distribution for hitting a particular number of pitches is given below. Determine the standarddeviation for this discrete probability distribution. $$\begin{array} { | c | c | c | c | c | c | } \hline x & 0 & 1 & 2 & 3 & 4 \\\hline P ( x ) & 0.02 & 0.07 & 0.22 & 0.27 & 0.42 \\\hline\end{array}$$

• A) 1.05
• B) 1.10
• C) 1.21
• D) 0.28

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Definitions:

Friedman Test

A method of statistical analysis, non-parametric in nature, designed to reveal differences in treatments through various attempts.

Alternative Hypothesis

In statistical testing, the hypothesis that proposes a difference or effect, contrary to the null hypothesis, suggesting that observations are the result of a real effect.

P-value

In hypothesis testing, the probability of obtaining test results at least as extreme as the results observed, assuming the null hypothesis is true.

Statistical Table

A statistical table organizes and displays data in columns and rows, making it easier to interpret sets of statistical information.