One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

    for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

P(x < 3) = 0.42319

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.