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
Answer:
1528.57
Step-by-step explanation:
Local Calls = 36
Distance calls = 20
Ratio would be: = 36/20 = 18/10 = 9/5
In short, Your Answer would be Option A
Hope this helps!
Answer:
Area required for circular hot tube = 6,218 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of circular hot tube = 89 inches
Value of π = 3.14
Find:
Area required for circular hot tube
Computation:
Radius of hot tube = Diameter / 2
Radius of hot tube = 89 / 2 inches
Area required for circular hot tube = Area of circle
Area of circle = πr²
Area required for circular hot tube = πr²
Area required for circular hot tube = (3.14)(89/2)²
Area required for circular hot tube = (3.14)(7921 / 4)
Area required for circular hot tube = (3.14)(1,980.25)
Area required for circular hot tube = 6,217.985
Area required for circular hot tube = 6,218 inch² (Approx.)
Divide the numbers because you want to find the ratio which is the rate of change.