answer.
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
KengaRu [80]
2 years ago
5

Given that x has a Poisson distribution with

Mathematics
1 answer:
Alex2 years ago
8 0
The Poisson probability distribution function is
P(x;\mu)= \frac{e^{-\mu}\mu ^{x}}{x!}
where
μ = mean number of successes
x =  actual or expected number of successes

Given:
μ = 13
x = 5

Therefore the probability that x=5 is
P(x = 5) = (e⁻¹³*13⁵)/5!
             = 0.8392/120
             = 0.006994
             = 0.0070  (to 4 dec. places)

Answer: 0.0070  (to 4 decimal places)

It is interesting to observe P(x) as x varies, as in the graph shown below.

You might be interested in
Match each polynomial expression to its additive inverse
zvonat [6]

Answer:

   (1, 2, 3, 4) matches (A, C, B, D)

Step-by-step explanation:

The additive inverse of a term is formed by changing the sign. The additive inverse of the polynomial is formed by changing the sign of every term.

If we call the expressions on the left (top-to-bottom) 1, 2, 3, 4, and those on the right A, B, C, D, then the match-up <em>in this presentation of the question</em> is ...

  1 - A

  2 - C

  3 - B

  4 - D

_____

YMMV if the expressions are mixed differently

6 0
2 years ago
Read 2 more answers
The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t
mina [271]
10.5x = 7.5x + 30
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10

10.5(10) = 105
7.5(10) + 30 = 75 + 30 = 105

they need to purchase 10 t-shirts from each company for a total of $105 for each company
5 0
2 years ago
Read 2 more answers
Bill is considering taking out a loan. He estimates that he can afford monthly payments of $375 for 10 years in order to support
Anuta_ua [19.1K]
For the same payment and term, the lower the interest rate, the more the loan can be. The opposite is also true. The appropriate selection is ...
  B. If the interest rate were 6.8%, the amount of the loan Bill is considering taking out would be less than $33,025.69.


_____
At 6.8%, Bill can afford a loan of $32,585.93.
4 0
2 years ago
The after school craft center has 15 boxes of 64 crayons each. In 12 of the boxes , 28 of the crayons have not been used. All th
netineya [11]
You are going to do 64-28=36

8 0
2 years ago
A cube with side length 2f is stacked on another cube with side length 3g2. Choose the expression that represents the total volu
Reil [10]
The expression that represents the total volume of both cubes is 8f^3+27g^6.

The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is 
V=(2f)(2f)(2f)=8f³.

For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.

The total area is their sum, so 8f³+27g⁶.
4 0
2 years ago
Read 2 more answers
Other questions:
  • The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What
    12·2 answers
  • From your home the route to the store that passes the beach is 2 miles shorter than the route to the store that passes the park.
    14·2 answers
  • Which function, g or h, is the inverse function for function ƒ? the function h because the graphs of ƒ and h are symmetrical abo
    7·1 answer
  • Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not kn
    8·1 answer
  • Each base of a cylinder has an area of 1,962.5 square centimeters. The cylinder's lateral area is 194.2 square centimeters. Find
    6·1 answer
  • Algebra There were 4 times the number of students in fourth grade at the basketball game.How many students attended the basketba
    15·1 answer
  • A plane left Atlanta at 4:50 and arrived at Boston in 3 hours and 15 minutes. When did it arrive in Boston?
    15·1 answer
  • The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find
    15·1 answer
  • Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.
    9·2 answers
  • Peter babysits his sister on Monday and Friday. He babysits for his neighbor 40% of the days Monday through Friday. He babysits
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!