Two Hundred Simulation Runs Were Completed Using the Probability of a Machine

question 13

Multiple Choice

Two hundred simulation runs were completed using the probability of a machine breakdown from the table below. The average number of breakdowns from the simulation trials was 1.93 with a standard deviation of 0.20.
$$\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { No. of } \\\text { breakdowns } \\\text { per week }\end{array} & \text { Probability } & \begin{array} { c } \text { Cumulative } \\\text { probability }\end{array} \\\hline 0 & .10 & .10 \\\hline 1 & .25 & .35 \\\hline 2 & .36 & .71 \\\hline 3 & .22 & .93 \\\hline 4 & .07 & 1.00 \\\hline\end{array}$$
-Construct a 95% confidence interval for the average number of machine breakdowns.

• A) 1.896 to 1.938
• B) 1.902 to 1.958.
• C).1.877 to 1.943
• D) 1.907 to 1.953.

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Definitions:

Nearest Whole

The process of rounding a number to the closest whole number.

Decimal Place

The position of a number to the right of the decimal point, indicating its fractional part, used to measure precision.

Aloud

To say something in a voice that can be clearly heard; not silently or in a whisper.

Exponent

A mathematical notation indicating the number of times a number is multiplied by itself.