The random variable x is the number of occurrences of an event over an interval of 10 miniutes. it can be assumed that the probability of an occurrence is the same in any two two time periods of an equal length. it is known that the mean number of occurrences in 10 minutes is 5.3.(a) the expected value of the random variable x is 2 5.3 10 2.3 none of the above answers is correct(b) the probability that there are 8 occurrences in 10 minutes is 0.0241 0.0771 0.1126 0.9107 none of the above answers is correct(c) the probability that there are less than 3 occurrences is 0.0659 0.0948 0.1016 0.1239 none of the above answers is correct