Two species of seagrass (species X and Z) were planted at a large seagrass resto

Question

Two species of seagrass (species X and Z) were planted at a large seagrass restoration site in the Pamlico Sound, with 80% of the planted seagrass being species Z. Species Z roots deep into the sediment, whereas species X has shallow roots. As a result, species X completely uproots during strong storms, whereas species Z remains rooted. A strong storm passes through the Pamlico Sound and impacts 70% of the site.

a) What proportion of the restoration site stays rooted?

b) If species Z uproots with a probability of 0.1, what proportion of the site will uproot?

Explanation / Answer

a) What proportion of the restoration site stays rooted?

= 0.3 + 0.7 ( 0.8)    {0.3 is probability of no storm in the site,   and 0.8 is probability of Z , beacause Z is only going to rooted during storm}

= 0.86

b)

nw probability = 0.3 + 0.7 * (0.8 * (1-0.1))

= 0.804

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