The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. (please show work)1. Refer to Exhibit 2. The random variable x satisfies which of the following probability distributions?a. normal b. Poisson c. binomial d. Not enough information is given to answer this question.2. Refer to Exhibit 2. The probability that there are 8 occurrences in ten minutes isa. .0241 b. .0771 c. .1126 d. .91073. Refer to Exhibit 2. The probability that there are less than 3 occurrences isa. .0659 b. .0948 c. .1016 d. .1239