Thickness measurements of ancient prehistoric Native American pot shards discove

Question

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.7 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm Incorrect: Your answer is incorrect. (b) the thickness is more than 7.0 mm Correct: Your answer is correct. (c) the thickness is between 3.0 mm and 7.0 mm

Explanation / Answer

a) P(X < 3)

= P(z < (3 - 4.8)/1.7)

= P(z < -1.05)

= 0.1448

c) P(3 < X < 7)

= 1 - P(X < 3) - P(X > 7)

= 1 - 0.1448 - 0.0979 [By using part a) and b)]

= 0.7573

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