SOLUTION: A company management team knows that, in a given quarter, the mean of earnings of firms in their industry is $200,000 with an industry standard deviation of $80,000. Assume a norma

Algebra ->  Probability-and-statistics -> SOLUTION: A company management team knows that, in a given quarter, the mean of earnings of firms in their industry is $200,000 with an industry standard deviation of $80,000. Assume a norma      Log On


   



Question 955693: A company management team knows that, in a given quarter, the mean of earnings of firms in their industry is $200,000 with an industry standard deviation of $80,000. Assume a normal distribution. What is the probability that a company makes between $225,000 and $275,000 ? Round your answer to 2 decimal places.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the z scores and the corresponding probabilities.
z%5B1%5D=%28225000-200000%29%2F80000=0.3125
z%5B2%5D=%28275000-200000%29%2F80000=0.9375
So then,
P%5B1%5D=0.62267
P%5B2%5D=0.825749
So,
P=P%5B2%5D-P%5B1%5D
P=0.825749-0.62267
P=0.20