Probability Statistics

Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 45 ounces and a standard deviation of 5 ounces.

Use the Empirical Rule.

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

a) 95% of the widget weights lie between Incorrect and Incorrect

b) What percentage of the widget weights lie between 30 and 55 ounces? Incorrect %

c) What percentage of the widget weights lie below 50 ? Correct %

Answer 1

45 + or - 2(5) = frin 35 to 55 ounces are 95% of the weights

30 to 55 is 99.7/2 + 95/2 = 49,85 + 47,5 = 97.35%

or 1- .3/2 - 5/2 = 1- .15 -2.5 = 1- 2.65 = 97.35%

1/2 -.68/2 = ,5-.34 = 16%