If you are 16 years old then you are a teenager Question 14
Answer:
$46.00
Step-by-step explanation:
$46.00 - $20 + $5 = $21
-5x^5 * -8x^4 - 5x^5*-9x - 5x^5*-9
= 40x^9 + 45x^6 + 45x^5
Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9
We have to find the probability that in a randomly selected week the number of burglaries is at least three.
P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........
= 1 - P(X < 3)
= 1 - [ P(X=2) + P(X=1) + P(X=0)]
The Poisson probability at X=k is given by
P(X=k) = 
Using this formula probability of X=2,1,0 with mean = 1.9 is
P(X=2) = 
P(X=2) = 
P(X=2) = 0.2698
P(X=1) = 
P(X=1) = 
P(X=1) = 0.2841
P(X=0) = 
P(X=0) = 
P(X=0) = 0.1495
The probability that at least three will become
P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]
= 1 - [0.2698 + 0.2841 + 0.1495]
= 1 - 0.7034
P(X ≥ 3 ) = 0.2966
The probability that in a randomly selected week the number of burglaries is at least three is 0.2966
First, lets note that

. This leads us with the following problem:

Lets add sin on both sides, and we get:

Now if we divide with sin on both sides we get:

Now we can remember how cot is defined, it is (cos/sin). So we have:

Now take the inverse of cot and we get:

In general we have

, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture: