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. The probability that there are 8 occurrences in ten minutes is 5.3

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.

The probability that there are 8 occurrences in ten minutes is:
a. 0.0241
b. 0.0771
c. 0.1126
d. 0.9107

The probability that there are less than 3 occurrences is:
a. 0.0659
b. 0.0948
c. 0.1016
d. 0.1239