The diameters of bolts produced by a particular machine follow a normal distribution with mean 1.34 cm

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The diameters of bolts produced by a particular machine follow a normal distribution with mean 1.34 cm and standard deviation 0.04 cm. A bolt is rejected if its diameter is less than 1.24 cm or more than 1.40 cm. Find the percentage of bolts which are accepted. The setting of the machine is altered so that the mean diameter changes but the standard deviation remains the same. With the new setting, 3% of the bolts are rejected because they are too large in diameter. Find the new mean diameter of bolts produced by the machine. Find also the percentage of bolts that are now rejected because they are too small in diameter.

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