Answer to Question #218595 in Statistics and Probability for Petra

Question

The weekly wages of employees of Volta gold are normally distributed about a mean of$1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wages lying between$1,320 and $970

Answer 1

$\mu=1250 \\ \sigma=120 \\ P(970<X<1320) = P(X<1320) -P(X<970) \\ = P(Z< \frac{1320-1250}{120}) -P(Z< \frac{970-1250}{120}) \\ = P(Z< 0.583) -P(Z< -2.333) \\ = 0.7200 -0.0098 \\ = 0.7102$