Thank you in advance

2. A spike train, commonly used to study neural activity, is a sequence of recorded times at which a neuron fires an action potential (spike). The time in between consecutive spikes is called the interspike interval (15/). Answer the questions below for an experiment in which the firing rate for a neuron is 10 per second. (a) Let X represent a single interspike interval (15/) having an exponential distribution. State the distribution of X and give its parameter value(s). (2 points) (b) Give the expected value and variance for an interspike interval (IS/). (4 points) (c) What is the probability that an ISI is less than 0.07 seconds? (4 points) (d) In the experiment, the spike train is composed of 50 ISIs. State the distribution for the total time for the spike train and give its parameter value(s). (4 points) (e) Give the expected value for the total time for the spike train. (2 points) (f) What is the probability that the spike train takes less than 3 sec? (4 points)