During a filament winding operation, T-300 carbon fiber tows containing 6000 filaments per tow are..

During a filament winding operation, T-300 carbon fiber tows
containing 6000 filaments per tow are pulled over a set of guide rollers 6 mm
in diameter. The mean tensile strength of the filaments is 3000 MPa, and the
standard deviation is 865 MPa (assuming a standard normal distribution for
filament strength). Determine the percentage of filaments that may snap as the
tows are pulled over the rollers. The fiber modulus is 345 GPa, and the
filament diameter is 7 mm.