3-3. A coupling connects the two shafts as shown. The torque applied on the shafts follows a normal distribution of . Each bolt has a diameter , and the bolts are uniformly distributed at the radius . If the allowable shear stress of the bolt is , determine how many bolts the coupling should have to make sure that the probability of failure of each bolt is less than . Assume that and are independent, and the shear stress in the bolts is uniform. (Ans. )