Compute probabilities.

Thearea under the normal curvefromx=atox=bwith given mean and standard deviation is the probability thatxassumes a value betweenx=aandx=b. If we are using Table IV in Appendix C, we need to standardize the random variablexusing the formulaz= (x)/, before using the table.

whereis the mean andis the standard deviation of the normal distribution. We use 1E99 for and1E99 for , if needed.

Letxbe a continuous random variable that is normally distributed with a mean of24and a standard deviation of7.

Round your answers to two decimal places.

(a)Standardize the variable valuex=27.5.

z=

(b)Standardize the variable valuex=59.0.

z=