Question: Please do it correctly 3. (8 pts) Someone is waiting for E train in Jamaica Station. The probability that the next train is E train

Please do it correctly

3. (8 pts) Someone is waiting for E train in Jamaica Station. The probability that the next train is E train is 0.25. If the rst two trains are not E train, what is the probability that E train will come after the rst 5 trains? 4. (10 pts) In a very cold winter season, the probability of a person committing a suicide is .004 in some town; whereas in a not cold winter, this probability is .002 in that town. The probability that a winter season will be cold is 0.2. Assume that there are 1000 people in that town in a winter season. Let X be the number of suicides and C = {Cold winter}. a. Calculate the probability of the event that there are no suicides b. What is the expected number of suicides in that winter season? 5. (8 pits]I On one street, a drivers speed just before an accident is uniformly distributed on [15, 25]. Given the speed, the resulting loss from the accident is exponentially distributed. with mean of 1.25 times the speed. Calculate the variance of a loss due to an accident on that street

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