SOLUTION: The average annual salary for all U.S> teachers is $47, 750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of

Algebra ->  Probability-and-statistics -> SOLUTION: The average annual salary for all U.S> teachers is $47, 750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of      Log On


   

Question 1081875: The average annual salary for all U.S> teachers is $47, 750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of a teacher selected randomly. Round the final answers to four decimal places and intermediate z value calculations to two decimal places.

Between $30,000 and $42,800 a year.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
for $30,000
z=(30,000-47,750)/5680=-3.13
z=(42800-47750)/5680=--0.87
prob. of z between those values is 0.1913.