Where’s the x in the equation?
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
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.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
As far as 2) check the picture below, solve for "x"
what's the angle "3m"? well, 3m = 12x + 40, those two angles are equal, since it's an isosceles trapezoid
Answer:
44 Minutes
Step-by-step explanation:
If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.
If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.
<em>Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.</em>
Answer:
So, Option B is correct.
Step-by-step explanation:
Considering A and B are independent events
The formula used for:
P(A|B) = P(A∩B) / P(B)
P(A∩B) = 2/9
P(B) = 1/3
Putting the values in formula:
P(A|B) = P(A∩B) / P(B)
P(A|B) = 2/9 / 1/3
P(A|B) = 2/9 * 3
p(A|B) = 2/3
So, Option B is correct.