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To play an octave on the piano, your hand must span a distance of 16.4 cm. A sample of music students showed a mean hand

To play an octave on the piano, your hand must span a distance of 16.4 cm. A sample of music students showed a mean hand span of 21.8 cm, with a standard deviation of 2.4 cm.

a) What is the probability that a student could not play an octave?

b) What is the probability that a student could play one and one-half octaves?

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