1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Solnce55 [7]
3 years ago
12

The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

number of tickets written per day follows a poisson distribution with a mean of 6.5 tickets per day. interpret the value of the mean.

Mathematics
1 answer:
lakkis [162]3 years ago
8 0
The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )
The distribution is graphed as shown below.

Answer: 
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

You might be interested in
F(x)= x+3<br> h(x)= x^2+4<br><br> Find (f•h)(x)
Dmitrij [34]

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

4 0
3 years ago
4x − 30 = ≤12 solve the inequality.
mafiozo [28]

Answer:

4x − 30 = ≤12

Step-by-step explanation:

4x − 30 = ≤12

+30 on both sides

4x≤42

divided by 4 on both sides

x≤10.5

4 0
2 years ago
Read 2 more answers
Which points are coplanar and noncollinear
yaroslaw [1]

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

4 0
3 years ago
A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in c
DochEvi [55]

Answer:

384

Step-by-step explanation:

multiply all those numbers together

3 0
2 years ago
Read 2 more answers
PLS HELP QUICK <br> Find the length of side x in simplest radical form with a rational denominator
Alja [10]

Answer:

x= \sqrt{6}

Step-by-step explanation:

you might need a calculator to get the answer but since it is a right triangle the legs of the triangle in this case x and the\sqrt{6} are the same length

3 0
3 years ago
Other questions:
  • PLEASE HELP MEEE <br> Can someone calculate the area of this shape
    5·1 answer
  • Select all that apply
    14·1 answer
  • Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation ca
    11·1 answer
  • Need help with this math question pls help me will mark brainiest btw
    12·2 answers
  • Put x^2+15x+56 and make it into a word problem!​
    15·1 answer
  • Find the zeros of f(x) = −x3 − 2x2 + 7x − 4. Then describe the behavior of the graph of f at each zero. A. 4, −1; As x → −∞, f →
    6·1 answer
  • At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
    13·2 answers
  • Need help with this thanks!!<br><br> (Image attached)
    12·1 answer
  • Can someone help me with this? I'm confused
    13·1 answer
  • If Joey takes 57cm off of a 6 inch ruler how much cm will be PLS ANSWER ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!