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
hjlf
3 years ago
6

The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Su

ppose the number of tickets written per day follows a Poisson distribution with a mean of 8.9. Find the probability that exactly four tickets are written on a randomly selected day.
Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

3.566%

Step-by-step explanation:

The probability formula for a poisson distribution is:

P( k )=\frac{\lambda^{k}e^{-\lambda}}{k!} \\

λ is the average of events

e is the euler's number

k is the number of events you want to know the probability

For this :

λ = 8.9 (on average the number of tickets is 8.9 per day)

k = 4 (you need to find the probability that exactly 4 tickets are written per day)

P( k=4 )=\frac{8.9^{4}e^{-8.9}}{4!}=0,03566 =3.566\%

You might be interested in
What is the value of x?<br><br> A. -9<br> B. -10<br> C. 10<br> D. -12
kirza4 [7]

Answer:

A -9

Step-by-step explanation:

6 0
3 years ago
10x-2x in fewer terms
Aleks04 [339]

Answer:

Step-by-step explanations:

10x - 2x

8x

5 0
2 years ago
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0
2 years ago
I need help plzz I need the answer
adell [148]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The value of y is directly proportional to the value of x If y=81 when x=54, what is the value of y when x=38
Arisa [49]

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38

5 0
2 years ago
Other questions:
  • If a vehicle is traveling at a constant rate, and it takes 1.5 hours to travel 97.5 miles, how long does it take to travel 130 m
    15·1 answer
  • Which are partial products for 68 × 43?
    10·1 answer
  • This handrail is made from congruent parallelograms. In parallelogram ABCD, AB = 17.5 , DE = 18, and angle BCD is 110º. Find the
    15·1 answer
  • What will be 66 2/3 as a percent explanation
    11·1 answer
  • Solve for h. 3/7=h/14-2/7
    9·2 answers
  • Movie Theater Madness
    9·1 answer
  • What is the slope of the line shown in the graph below?
    10·2 answers
  • Is the ratio 4.2:1.5 proportional to the ratio12.6:4.5? Explain.
    7·2 answers
  • On mr robinsons last history test for this marking period. the average score was 98. Fourty students took the test and 39 studen
    6·1 answer
  • Which product costs the most per ounce?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!