A Die Is Cast Repeatedly Until a 4 Falls Uppermost

question 154

Multiple Choice

A die is cast repeatedly until a 4 falls uppermost. Let the random variable X denote the number of times the die is cast. What are the values that X may assume? ​

• A) X may assume the values in the set S = {1, 2, 3, ...}
• B) X may assume the values in the set S = {4}
• C) X may assume the values in the set S = {1, 2, 3, 4, 5, 6}

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by adding them all together and dividing by the number of numbers.

Variance

A statistical measure of the dispersion of data points in a dataset, quantifying how far each data point lies from the mean.

Sum of Squared Deviations

The total of the squared differences between each observation and the mean of a dataset.

Standard Deviation

An indicator used to assess the degree to which data points diverge or scatter around the average value.