3. Electronic oomponente are shipped in bCEcEs of IE oomponenta. Each oomponent has a 10% probability of being defective, and the components are mutually independent. We check each box one at a time. {a} What is the probability that a given box bee no defective components? {b} Consider 12 boxes. What is the probability that at least 3 of theee boxers oontain [ml] non-defective mmponente? {o} What is the probabilityr distribution of the number of boxes that we must cheek until we find a boot that mntaine only non-defective oomponente? 4. Snppoee that geomagnetic etorme oeenr eeoorcling to a Poieeon promise with parameter A = 2.5 etorrne ever 365 days. {Theee etorrne can interfere with power line networks and eatelb'teeI and are a canoe for eoneern for power and teleoornmunioatione oompanjee.} {a} Compute the probability that at least 4 geomagnetic etorme will ooenr next year. {b} Compute the expected number of geomagnetic storms in the next 4 months. {o} Compute the probabilityr that there will be zero geomagnetic storms during the 153 daye between Jul].r let and December let