+22 n the testing phase of golf b***s, manufacturers generate robot controlled shots and analyse the results of such shots by the flight distance which is measured to a high accuracy. It was found that the mean length of a large number of robot controlled shots using the Titleist Pro V1x golf ball is 229.424 metres and the standard deviation is 15.953 metres. Assuming that the lengths are normally distributed, find the proportion of robot controlled shots that measure between 224 and 265 metres. Supply your answer correct to three decimal places. Note: You may wish to use the table of areas under the standard normal curve.
