= 4. In a next-generation sequencing experiment two different samples A and B are applied to two lanes of a flow cell. On lane one, 18,000 clusters are generated for sample A and it is observed that = 3 of these clusters contain EST's which correspond to gene g. In lane two, 12,000 clusters are generated for sample B. (a) If gene g is not differentially expressed in samples A and B, how many clusters would you expect on lane two to correspond to gene g? Justify your answer. (b) If gene g is not differentially expressed, explain why it is possible to observe a count on lane two different from the one you named in (a). (c) If gene g is not differentially expressed, what is the probability to observe a count of y = 4 on lane two? Show your calculation