Tamiami shearing machine is making 10% defective pieces, that is abnormally high. Quality control engineer has been checking output by about continuous sampling as abnormal condition began. Determine the probability that in sample of 10 pieces:
a) Exactly 5 will be defective?
b) 5 or more will be defective?
One-fourth of residents of Burning Ridge Estates leave their garage doors open when they are away from home. Local chief of police estimates which 5% of garages with open doors will have something stolen, but only 1% of those closed will have something stolen. If garage is robbed, determine the probability doors were left open?