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The U.S. Air Force has designed a missile detection system which will detect 19 out of 20 incoming missiles. If one early warning system is good, two must be better; "how much better?".
a) What is the probability that 1 detection system will detect an incoming missile?
b) If 2 detection systems are installed in the same area and operate independently, what is the probability that at least 1 of the systems will detect the missile?
c) If 3 systems are installed, what is the probability that at least 1 of the systems detects the missile?
d) How many detection systems would you recommend operating? Why?
Suppose that 20% of all Internet users have posted photos online. A sample survey interviews 1555 users. What is the probability that 300 or fewer people in the sample have posted photos online?
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