Find the Sum Using the Formulas for the Sums of Powers

question 14

Multiple Choice

Find the sum using the formulas for the sums of powers of integers.​ $$\sum _ { n = 1 } ^ { 14 } n ^ { 3 }$$ ​

• A)6,090
• B)105
• C)11,025
• D)1,015
• E)210

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Definitions:

Poisson Distribution

A distribution for predicting the probability of a given number of events occurring over a fixed interval of time or space.

Normal Distribution

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.

Random Variable

A factor that acquires numerical values due to chance occurrences.