1.)The average high school teacher annual salary is $43,000 (Payscale.com, August 20, 2010). Let teacher salary be normally distributed with a standard deviation of $18,000.[You may find it useful to reference thez table.] a.What percentage of high school teachers make between $40,000 and $50,000?(Round "z" value and final answer to 2 decimal places.)

Percentage of high school teachers %

b.What percentage of high school teachers make more than $80,000?(Round "z" value and final answer to 2 decimal places.)

Percentage of High School Teachers %

2.)A packaging system fills boxes to an average weight of 17 ounces with a standard deviation of 0.2 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight.(You may find it useful to reference thez table.Round "z" value to 3 decimal places and final answers to 2 decimal places.)

1st Quartile
2nd Quartile
3rd Quartile

3.)A random variableXis exponentially distributed with a mean of 0.25. a-1.What is the rate parameter?(Round your answer to 3 decimal places.) Rate perameter

a-2.What is the standard deviation ofX?(Round your answer to 2 decimal places.) Standard deviation X

b.ComputeP(X> 0.34).(Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

P(X>0.34)

c.ComputeP(0.18 X 0.34).(Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

P(0.18< = X < = 0.34)