answer with explanation

In a manufacturing process of bolt type 4. distribution of the diameters of the bolts is normal with mean and standard deviation of 6.1 and 0.5 mm respectively. i) Suppose the product can be sold if the diameter is between 5.5 and 6.5 only. In addition. for the venture to be profitable. at least 60% of the bolts should be within that interval. Determine whether the venture is profitable. ii) Suppose another type of bolt (type B) is produced along with the type A. Let the distribution of diameter of type B is normal with mean and standard deviation of 7 and 0.5. Calculate the probability that type B is included with type A. ifi) In order to have type B included in type A to be less than 10%, what should be the discarding criterion for type B