Probabilistic Methods in Electrical and Computer Engineering For each question, write the correct answer in the provided box in the format 0.xxx, for example, 0.123.Suppose the probability of a very cold day (temperature less than 0°C) on any random day of winter in a city is 0.25. If it is a very cold day,the probability of a car accident in the same city is 0.15. If it is not a very cold day, the probability of a car accident in the same city is 0.10.a) What is the probability that a random day is not a very cold day?b) What is the probability of no accident if it is not a cold day?c) What is the probability of an accident on a random day?d) Given that there was an accident today, what is the probability that today is a very cold day?e) Given that there was no accident today, what is the probability that today is not a very cold day?

We have Probability of a very cold day: P(C) = 0.250,P(A | C) = 0.15 [ the probability of an…

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Probabilistic Methods in Electrical and Computer Engineering

For each question, write the correct answer in the provided box in the format 0.xxx, for example, 0.123.
Suppose the probability of a very cold day (temperature less than 0°C) on any random day of winter in a city is 0.25. If it is a very cold day,
the probability of a car accident in the same city is 0.15. If it is not a very cold day, the probability of a car accident in the same city is 0.10.
a) What is the probability that a random day is not a very cold day?
b) What is the probability of no accident if it is not a cold day?
c) What is the probability of an accident on a random day?
d) Given that there was an accident today, what is the probability that today is a very cold day?
e) Given that there was no accident today, what is the probability that today is not a very cold day?

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