Expand the Binomial $$\left( x ^ { - 3 } + 2 \right) ^ { 5 }$$

question 88

Multiple Choice

Expand the binomial.
- $$\left( x ^ { - 3 } + 2 \right) ^ { 5 }$$

• A) \(x ^ { - 15 } + 10 x ^ { - 12 } + 40 x ^ { - 9 } + 80 x ^ { - 6 } + 80 x ^ { - 3 } + 32\)
• B) \(x ^ { - 15 } + 5 x ^ { - 12 } + 10 x ^ { - 9 } + 10 x ^ { - 6 } + 5 x ^ { - 3 } + 1\)
• C) \(32 x^{ - 15}\)
• D) \(x ^ { - 15 } + 32\)

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Definitions:

Standard Error

A measure of the dispersion of sample mean estimates from the population mean.

True Proportion

The actual proportion of a particular outcome within the entire population.

Confidence Interval

An estimated range of values calculated from a given set of sample data, intended to offer a degree of certainty that a population parameter lies within it.

Simple Random Sample

A smaller group taken from a larger statistical group where each individual has the same chance of selection.