Please help me with these questions. I dont understand

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 11 ounces.

Use the Empirical Rule.

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

a) 68% of the widget weights lie between  and 

b) What percentage of the widget weights lie between 10 and 54 ounces?  %

c) What percentage of the widget weights lie below 65 ?  %

Answer 1

mean 43, sd = 11

a) 68% lie between 43-11 and 43+11

between 32 and 54

b) between 10 and 54

54 is one sd above the mean

10 = (43-10)/11 = 33/11= 3 below the mean

68/2% + 99.7/2%

34% + 49.85%

= 83.85% between 10 and 54

c) below 65

(65-43)/11 = 22/11 = 2 sd above the mean

50% + 95/2%

= 50+47.5

= 97.5% below 65