It is estimated that 45% of households own a riding lawn mower. A sample of 10households is studied. What is the standard deviation of the number of households whoown a riding lawn mower?

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Quizplus · Accepted Answer

The standard deviation for a binomial distribution is calculated using the formula $\sqrt{n \cdot p \cdot (1-p)}$, where $n$ is the number of trials (in this case, 10 households) and $p$ is the probability of success (in this case, 0.45 for owning a riding lawn mower). Plugging in the values: $\sqrt{10 \cdot 0.45 \cdot (1-0.45)} = \sqrt{10 \cdot 0.45 \cdot 0.55} = \sqrt{2.475} = 1.5732$.

It Is Estimated That 45% of Households Own a Riding