Quiz-Normal Distributions 1: A group of students weighs 500 US pennies. They find that the pennies have normally
distributed weights with a mean of 3.1g and a standard deviation of 0.149.

a) Sketch the normal curve for this distribution below. Label the mean and three
standard deviations above and below the mean.

b.) What percent of the pennies have a weight that lies between:

2.969 and 3.249 (i. e., within one standard deviation of the mean)?

2.829 and 3.389 (i. e., within two standard deviations of the mean)?

2.68g and 3.529 (i. e., within three standard deviations of the mean)?

C.) How many pennies have a weight that lies within

2.969 and 3.249 (i. e., within one standard deviation of the mean)?

2.829 and 3.389 (i. e., within two standard deviations of the mean)?

2.689 and 3.529 (i. e., within three standard deviations of the mean)?