A) A missile launched from a submarine hits a target with a probability of 0.5. If...

A) A missile launched from a submarine hits a target with a probability of 0.5. If hits from three missiles are required to destroy the target,  What is the probability that 5 missiles will be launched before the target is destroyed?  What is the expected number of missiles launched before the target is destroyed?

B) The time in days between consecutive breakdowns of a machine is exponentially distributed with a mean of 5 days. What is the probability that exactly two repairs are needed during a given week? 2

C) You arrive at a bus stop at 10:00 am, knowing that the bus will arrive at some time uniformly distributed between 10:00 and 10:30 am. What is the probability that you will have to wait longer than 5 minutes for the bus to arrive?

D) The time taken to complete an exam follows a normal probability distribution with a mean of 60 minutes and standard deviation of 10 minutes. What is the probability that a randomly chosen student will complete the exam in 50 minutes or longer?

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Expert Solution

milcah answered 1 year ago

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