a$.$ In the assembly of a shaft and bearing the specifications of the shaft diameter are $5\backslash$pm $0\mathrm{.}03$ cm and for the hole diameter are $5\mathrm{.}25\backslash$pm $0\mathrm{.}08$ cm$.$ If the assembly is having a clearance fit, then the mean and standard deviation of the clearance is

b$.$ In the assembly of a shaft and bearing the specifications of the shaft diameter are $6+/-0\mathrm{.}06$ cm and for the hole diameter are $6\mathrm{.}2+/-0\mathrm{.}03$ cm$.$ Find the probability of the assembly having an interference fit.