Recitation 3

Calculating Normal Probabilities and Percentiles Quiz

This quiz is self-graded.

1.

What proportion of a normal distribution with mean 120 and standard deviation 30 is above 100?

2.

What is the 60th percentile of a normal distribution with mean 10 and standard deviation 2?

3.

A machine for filling bags of flour can be set to fill bags with an average amount of $\mu$ pounds. The actual weights produced are not all equal to $\mu$ but vary a bit. The distribution of the weights is approximately normal with a mean of $\mu$ and a standard deviation of 0.05 pounds. What setting of $\mu$ should be used to insure that at most 10% of the bags contain less than 5 pounds of flour?