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

x = -2

y = 848

step-by-step explanation:

plug in the numbers

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.