Metal fatigue refers to the gradual weakening and eventual failure of metal that undergoes cyclic loads....

Transcribed Image Text:

Metal fatigue refers to the gradual weakening and eventual failure of metal that undergoes cyclic loads. The wings of an aircraft, for example, are subject to cyclic loads when in the air, and cracks can form. It is thought that these cracks start at large particles found in the metal. Suppose that the number of particles large enough to initiate a crack follows a Poisson distribution with mean u = 0.5 per square centimeter (cm). (a) What is the mean of the Poisson distribution if we consider a wing area of 100 cm ? (b) Using the normal approximation, what is the probability that this section has more than 60 of those large particles? Metal fatigue refers to the gradual weakening and eventual failure of metal that undergoes cyclic loads. The wings of an aircraft, for example, are subject to cyclic loads when in the air, and cracks can form. It is thought that these cracks start at large particles found in the metal. Suppose that the number of particles large enough to initiate a crack follows a Poisson distribution with mean u = 0.5 per square centimeter (cm). (a) What is the mean of the Poisson distribution if we consider a wing area of 100 cm ? (b) Using the normal approximation, what is the probability that this section has more than 60 of those large particles?