Question

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

Answer 1

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:

$\mathtt{P(x$

$\mathtt{P(x$

$\mathtt{P(x$

$\mathtt{P(x$

$\mathtt{P(x$

P(x < 3) = 0.42319