Question 726053
the mean is 30 inches.


the standard deviation is 3/4 inch.


to find p(x > 32) you need to calculate the z-score to get:


z = (32 - 30) / (3/4) which is equal to 8/3.


that's a z-score of 2.67 rounding to two decimal places.


the formula to find the z-score is:


z-score = (value - mean) / (standard deviation)


look up in the z-score tables for a z-score of 2.67 and you will find that the probability of the z-score being less than 2.67 is equal to .9962.


The probability of the z-score being greater than 2.67 is equal to 1 - .9962 which is equal to .0038.


the z-score table that i used is shown below:


<a href = "http://lilt.ilstu.edu/dasacke/eco148/ztable.htm" target = "_blank">http://lilt.ilstu.edu/dasacke/eco148/ztable.htm</a>