Answer to Question #350343 in Statistics and Probability for Mark Luke

Question

1. Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4.Using

  the standard score formula,we findP(X ≤ Xo)=P(Z ≤ 1.3).What is the value of Xo?

Answer 1

$$z=\dfrac{x_0-\mu}{\sigma}=1.3$$

$$x_0=\mu+1.3\sigma$$

$$x_0=5+1.3(0.4)$$

$$x_0=5.52$$