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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Definitions:

Price Level

The total economy’s current average pricing for goods and services produced.

Real GDP

Gross Domestic Product adjusted for inflation, representing the value of all goods and services produced over a specific period, measured in constant prices.

Aggregate Demand Curve

A curve depicting the total demand for all goods and services in an economy at various price levels, assuming all other factors remain constant.

Short-Run Aggregate Supply Curve

A curve that shows the relationship between the price level and the quantity of goods and services supplied in the economy in the short term, assuming input costs remain constant.