Distribution statistic

Question

A Acme company manfucature widgets. The distribution of widgets weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 5 ounces ( use the standard deviation rule )

a) 68% of the widgets weights lies between

b) what percentage of the widgets weights lies between 31 and 51 ounces

c) what percentage of the widget weights lie below 56

Answer 1

mean = 45, sd =5

a) 68% lie between 41 and 51 ounces

b) between 31 and 51 are .47.5+ .34 = .81.5 = 81.5%

c) below 56 are the areas corresponding to z=11/5 = 2.2 which is 98.61%