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AP® Statistics

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Moderate

Puzzle Competition

APSTAT-1FYG4U

In a puzzle competition, competitors are given a different puzzle to solve for each round.

The first round presents a puzzle known to be normally distributed with a solution time of $\mu = 3$ minutes and $\sigma=0.4$ minutes. The fastest $20\%$ of competitors advance to the next round.

To the nearest tenth of a minute, what cutoff score will advance a competitor to the next round?

A

$2.5$

B

$2.7$

C

$3.1$

D

$3.2$

E

$3.4$