Dave Operates a Small Guitar Shop Where He Makes and Sells

question 7

Multiple Choice

Dave operates a small guitar shop where he makes and sells guitars.One day he carelessly leaves flammable glue next to a heater.The shop burns down.The neighboring shop owned by Jane also burns.Jane sues Dave for negligence.

• A)Dave was obligated to take all steps needed to prevent the fire.
• B)Dave was obligated to take all reasonable steps needed to prevent the fire.
• C)Dave's obligation was limited to taking all steps customarily taken by small guitar shops to prevent such fires.
• D)Res ipsa loquitur applies.

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Definitions:

Percentile

A value below which a certain percent of observations fall, used as a measure to understand the distribution of data in a dataset.

Tchebysheff's Theorem

A theorem stating that for any set of data, the proportion of results within k standard deviations from the mean is at least 1-(1/k^2) for k>1.

Tchebysheff's Theorem

A statistical theorem stating that for any distribution, the proportion of outcomes within k standard deviations from the mean is at least \(1-\frac{1}{k^2}\) for k > 1.

Empirical Rule

A statistical norm indicating that in a normal distribution, the vast majority of data points lie within a range of three standard deviations from the mean.