One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a

Question

3 years ago

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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

Mathematics

1 answer:

Karo-lina-s [1.5K] · Answer 1 · 2022-01-20T19:51:41+03:00

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density $\lambda =$ 3

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

Therefore:

$\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}$ for x =1, 2, 3...

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

$\mathtt{P(x$

P(x < 3) = 0.42319