5. Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.1 millimeters (mm) and a standard deviation of 0.7 mm. What percent (%) of ancient prehistoric Native American pot shards discovered in this area has thickness measurement thinner than 3.

percent (%) of ancient prehistoric thinner than 3 is 0.0013

Step-by-step explanation:

Given data

mean = 5.1 millimeters (mm)

standard deviation = 0.7 mm

to find out

percent (%) of ancient prehistoric thinner than 3

solution

we have given mean and SD

so Z will be = x - mean / SD

Z = (x - 5.1) / 0.7

so P (x < 3) = P ((x - 5.1) / 0.7 < (3 - 5.1) / 0.7)

P (Z = (3 - 5.1) / 1.5)

P (Z = - 3) = 0.0013

percent (%) of ancient prehistoric thinner than 3 is 0.0013