In this question, the Poisson distribution is used.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Parameter of 5.2 per square yard:
This means that 
, in which r is the radius.
How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?
We want:
Thus:
We have that:
Then
Thus, the radius should be of at least 0.89.
Another example of a Poisson distribution is found at brainly.com/question/24098004
Answer:
(5³)⁹/5¹² = 1
Step-by-step explanation:
(5³)⁹/5¹²
Add the exponents
5¹²/5¹²
Divide
1
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
I believe the answer is 0.5
Answer:
D
Step-by-step explanation:
Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.
