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:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
To find out how much area of carpet is left after putting the table in place, subtract the area of the table from the area of the carpet
Remember that
The area of a circle is equal to
step 1
Find the area of the carpet
we have
----> the radius is half the diameter
assume
substitute
step 2
Find the area of the circular table
we have
----> the radius is half the diameter
assume
substitute
step 3
Subtract the areas
Combine like terms:
subtract x from both sides to get
2x+5=14
subtract 5
2x=9
isolate x:
divide 2 from both sides to isolate x
x=9/2
that's your final answer. unless your teacher wants you to put it in decimal form in which all you do is divide 9÷2.
Use the slope formula to determine the slope of the two points. Since (0,12) is the y-intercept it is already given.
Y = x +12
Answer: The argument pattern that would best represent this reasoning pattern is called Complex Argument Pattern
Step-by-step explanation:
When an argument has its main conclusion (A) to be directly supported by (B), and (B) is in turn supported by (C), it indicates a complex argument structure or pattern. Since statement (B) is acting as a premise for the statement (A) but happens to be the conclusion of statement (C), then (B) is seen as an intermediate conclusion.
Complex Argument like this are best written in a simple form called standard form.