A) A missile launched from a submarine hits a target with aprobability of 0.5. If hits from three missiles are required todestroy the target, ? What is the probability that 5 missiles willbe launched before the target is destroyed? ? What is the expectednumber of missiles launched before the target is destroyed?
B) The time in days between consecutive breakdowns of a machineis exponentially distributed with a mean of 5 days. What is theprobability that exactly two repairs are needed during a givenweek? 2
C) You arrive at a bus stop at 10:00 am, knowing that the buswill arrive at some time uniformly distributed between 10:00 and10:30 am. What is the probability that you will have to wait longerthan 5 minutes for the bus to arrive?
D) The time taken to complete an exam follows a normalprobability distribution with a mean of 60 minutes and standarddeviation of 10 minutes. What is the probability that a randomlychosen student will complete the exam in 50 minutes or longer?
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