math equation solve

Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 5 ounces.

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

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

a) 95% of the widget weights lie between  and 

b) What percentage of the widget weights lie between 30 and 45 ounces?  %

c) What percentage of the widget weights lie above 20 ?

Answer 1

a) 35 +/-5 = (30, 40)

b) 30 to 45 34% + 99.7/2% = 34+49.85= 83.85%

c) above 20? 99.7 + .3/2 = 99.7+.15 = 99.85%