Normal distribution

Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 43 ounces and a standard deviation of 10 ounces.

Use the Standard Deviation Rule, also known as the Empirical Rule.

Suggestion: sketch the distribution in order to answer these questions.

a) 99.7% of the widget weights lie between _ and _

b) What percentage of the widget weights lie between 23 and 73 ounces?  _%

c) What percentage of the widget weights lie above 33 ?  _%

Answer 1

a) 43+/-3(10) = 13 and 73

b) 95/2 + 99.7/2 = 47.5+49.85 = 97.35%

c) 68/2+50 = 84%