The Random Variable X Represents the Number of Tests That

question 70

Multiple Choice

The random variable x represents the number of tests that a patient entering a clinic will have along with thecorresponding probabilities. Find the mean and standard deviation for the random variable x. $$\begin{array} { c | c } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & \frac { 3 } { 17 } \\1 & \frac { 5 } { 17 } \\2 & \frac { 6 } { 17 } \\3 & \frac { 2 } { 17 } \\4 & \frac { 1 } { 17 }\end{array}$$

• A) mean: 1.59; standard deviation: 1.09
• B) mean: 1.59; standard deviation: 3.72
• C) mean: 2.52; standard deviation: 1.93
• D) mean: 3.72; standard deviation: 2.52

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Shaded Area

In graphical analysis, the region enclosed by curves or boundaries, often used to represent quantities such as surplus, deficit, or probability.

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