1- The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 21 minutes. What is the probability that washing dishes tonight will take me between 13 and 19 minutes? Give your answer accurate to two decimal places.

2-Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -1 (to 2 decimal places)

3-The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 55 ounces and a standard deviation of 4 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 oz and oz

b) What percentage of the widget weights lie between 43 and 63 ounces? % c) What percentage of the widget weights lie above 51 ?

4-The probability density of a random variable X is given in the figure below.

0 1 2

x

From this density, the probability that X is between 0.34 and 1.52 is: