Please show the work and explanation, there are some small question require to use RMarkdown (show code and work)

5. The town of Toruawa is situated next to three large rivers. Periods of heavy.T rain can cause the rivers to ood, putting the township at risk of damage. The local council examines the water levels of the three rivers each day. Let X,- be the river level ofriveri {in metres]. The river levels have the following distributions: Total for Question 5: 21 marks a River: XA ~ Nomiallfal. H.352} E River: XE v Gatnmalfjj C River: XE .. Exp[l].25] [a] Compute the expected value and variance for the river levels for each river 1', i 2 AB. C. [3 maria} [b] If the level of river i exceeds 5 men-es. then a ood alert is issued to the township. [in a given [3 matrix} day. what is the probability that a ood alert will be issued for each river 1'. i 2 AB. C? [c] Plot the densities of the three random variables, XA. I3. XE. on the same graph using R. [3 maria}