SOLUTION: Please help, The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probab

Algebra ->  Probability-and-statistics -> SOLUTION: Please help, The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probab      Log On


   



Question 150223: Please help,
The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employees earns less than $5.43.
Please help,
Ellen

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employees earns less than $5.43.
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Find the z-score of 5.43
z(5.43) = (5.43-9.83)/4.58 = -0.960699
P(z < -0.960699) = 0.1684 or 16.84%
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Cheers,
Stan H.