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
Lelu [443]
3 years ago
10

Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message

s per hour is 18, then what is the probability it will receive between 15 and 20 messages during any given hour?
Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

You might be interested in
Suppose a pizza must fit into a box with a base that is 12 inches wide.
mojhsa [17]
The area of the whole pizza must be at most 113.10 square inches in order to perfectly fit in the box. The values of r represent the half of the length of the pizza with respect to its center. In this case, the r must not exceed 6 inches (r ≤ 6 inches) in order to fit in the pizza box. On the other hand, the values of a represent the total area the pizza will occupy. In this case, the a must not exceed 113.10 square inches (a <span>≤ 113.10) </span>in order to house the pizza perfectly. 
4 0
3 years ago
What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?
Alex787 [66]
Hi!
A is the answer:⏬⏬⏬⏬⏬⏬⏬⏬

The distance around a triangle, better noun as de "perimeter of a triangle"

is the total distance around the outside, which can be found by adding together the length of each side.

Perimeter (P) = Length A + Length B + Lenght C

In this case, we know that each side measure 2 \frac{1}{8}81​ feet, 3 \frac{1}{2}21​ feet, and 2 \frac{1}{2}21​feet  but we have to rewrite each one of this mixed fractions as improper fractions:

2 \frac{1}{8}81​ = \frac{16 + 1}{8}816+1​ = \frac{17}{8}817​   

3 \frac{1}{2}21​ = \frac{6 + 1}{2}26+1​ = \frac{7}{2}27​

2 \frac{1}{2}21​ = \frac{4 + 1}{2}24+1​ = \frac{5}{2}25​

Then we just add all of them to find the perimeter:

 = \frac{17 + 28 + 20}{8}817+28+20​ = \frac{65}{8}865​

A: The distance around a triangle is \frac{65}{8}865​feet
3 0
3 years ago
Read 2 more answers
Chris is packing toy boxes that are cubes with 4 inch-sides into a crate. The crate is 3 feet wide by 3 feet long by 2 feet tall
OleMash [197]
A lot of toy boxes my dude
8 0
3 years ago
Find the derivative of StartFraction d Over dx EndFraction Integral from 0 to x cubed e Superscript negative t Baseline font siz
Valentin [98]

Answer: (a) e ^ -3x (b)e^-3x

Step-by-step explanation:

I suggest the equation is:

d/dx[integral (e^-3t) dt

First we integrate e^-3tdt

Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.

(b) to differentiate the integral let x = t, and substitute into the expression.

Therefore dx = dt

Hence, d/dx[integral (e ^-3x dx)] = e^-3x

8 0
3 years ago
Read 2 more answers
What is the domain of the sine function ?
Reptile [31]
There are no restrictions on the domain of the since function.
The domain is all real numbers.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Can any one please do this for me I did not know how to do it can some one please help me
    7·1 answer
  • Solve.
    9·1 answer
  • Which is the equation of the line that is parallel to the given line and passes through the point (-3,2)?”
    11·1 answer
  • Find cos theta! Please Help With Explanation! 25 points!
    8·1 answer
  • Solve 3x−5 = 9 help solve for x
    5·2 answers
  • Pls answer my last one to Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statem
    10·1 answer
  • I’m a given rectangle the shorter side is 2 units less than the longer side. If we let the longer side be represented as the var
    13·1 answer
  • Write 321x64 in long muliplication
    12·1 answer
  • 6+8d=7d solve for d.
    10·2 answers
  • The number of people who voted for the Green Party in an election was 1500
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!