The probability of an earthquake incident at a mine site in a single year is 0.41.Consider a par±cular mine site X where 64 employees work 12 hours/day, 283days/year in the pit and are therefore in the exposure zone of the incident. Forpeople in the exposure zone there is a 0.10 probability that an earthquakeincident will result in injury.What is the probability that there is injury from earthquake on that site in a year?

The average number of road accidents that occur on a particular stretch of road during a month is 7. What is the probability of observing exactly three accidents on this stretch of road next month?0.0200.0230.0480.052

Let 𝐵 = the number of hours in a 12-hour cycle in which there are no accidents.Let 𝐶 =number of accidents in one hour.Calculate the probability that there will be no accidents for 9 hours in the 12-hour cycle.

The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:x 0 1 2 3 4 5P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05What is the probability that in a given week there will be at most 3 accidents? 0.70 0.85 0.35 0.15 1.00

The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:x 0 1 2 3 4 5P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week? 1.00 0.90 0.85 0.70 0.50

IIIT wants to build a new academic block which will stand for a long time by protecting itagainst earthquakes. If earthquakes strike Telangana as a Poisson process with rate λ peryear and we want the building to last for Y years with probability p. What is the smallestnumber of earthquakes the new building should be able to endure? Calculate with valuesλ “ 0.1, Y “ 20, p “ 0.9