The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of the number in the next 12-month period.(a) What is the probability that there are 10 tremors in 1 year? (b) What is the probability that there are 18 tremors in 2 years? (c) What is the probability that there are no tremors in a 1-month period? (d) What is the probability that there are more than 5 tremors in a 6-month period?