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1. A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least
two engines should be in working condition. Each engine has an independent
reliability of p = 92%.
What is the probability that an aircraft in flight can land safely?
2. A computer laboratory in a school has 33 computers. Each of the 33 computers has
90% reliability. Allowing for 10% of the computers to be down, an instructor specifies
an enrolment ceiling of 30 for his class. Assume that a class of 30 students is taken into
the lab.
What is the probability that each of the 30 students will get a computer in working
condition?
3. A commuter airline deliberately allows overbooking of flights, figuring that only 75%
of passengers with reservations show up. It flies small propeller planes with 20 seats.
If the airline allows 25 passengers to book flight, what is the probability that the flight
will be oversold?
4. A group of 4 juries are deciding about 4 major possible ventures of a company. The
juries decide independently of each other and each jury has a probability to vote for
the venture as 85%. Every venture is sanctioned if all juries vote positively. What is the
chance the 3 of the 4 ventures will be granted.