Glen Wong is an emergency medical technician for a local rescue team and is routinely called on to render emergency care to citizens facing crisis situations. Although Glen has received extensive training, he also relies heavily on his equipment for support. During a normal call, Glen uses five essential pieces of equipment, whose individual reliabilities are 0.98, 0.97, 0.95, 0.96, and 0.99, respectively.
a. Glen claims his equipment has maximum probability of failure of 5%. Is he correct?
b. What individual equipment reliabilities would guarantee an overall reliability of 96%?