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
Elenna [48]
3 years ago
9

At the center of espionage in Kznatropsk one is thinking of a new method for sending Morse telegrams. Instead of using the tradi

tional method, that is, to send letters in groups of 5 according to a Poisson process with intensity 1, one might send them one by one according to a Poisson process with intensity 5. Before deciding which method to use one would like to know the following: What is the probability that it takes less time to send one group of 5 letters the traditional way than to send 5 letters the new way (the actual transmission time can be neglected).
Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

Answer:

It takes less time sending 5 letters the traditional way with a probability of 36.7%.

Step-by-step explanation:

First we must take into account that:

- The traditional method is distributed X ~ Poisson(L = 1)

- The new method is distributed X ~ Poisson(L = 5)

P(X=x)=\frac{L^{x}e^{-L}}{x!}

Where L is the intensity in which the events happen in a time unit and x is the number of events.

To solve the problem we must calculate the probability of events  (to send 5 letters) in a unit of time for both methods, so:

- For the traditional method:

P(X=5)=\frac{1^{5}e^{-1}}{1!}\\\\P(X=5) = 0.367

- For the new method:

P(X=5)=\frac{5^{5}e^{-5}}{5!}\\\\P(X=5) = 0.175

According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.

You might be interested in
The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of
wariber [46]

The sound intensity of rustling leaves,  y = 20 decibels

<u>Step-by-step explanation:</u>

y = 10logx

The sound intensity of rustling leaves is 100 times the reference intensity.

x = ratio of intensity of sound to reference to intensity

x = 100:1 or x = 100

y = 10 log(100) = 10 * 2 = 20 decibels

y = 20 decibels

4 0
3 years ago
Read 2 more answers
Hi help with these please and thank yu? :)
ryzh [129]

Answer:

the first one is A

b/c when you calculate it comes 0 = 6

And the second one is D

b/c when you calculate it comes 0 = 2

if it's helpful ❤❤❤

THANK YOU.

7 0
3 years ago
(-8)+8-(-7)<br><br> answer? please help
Dima020 [189]
-8 and +8 equal 0 since they cancel out. It's basically 8-8. So that leaves you with 0-(-7). The two negatives make a positive, now you're left with 0+7=7. Your answer is 7. Hope this helps :)
7 0
3 years ago
Read 2 more answers
What is the solution for -10 &lt; x - 9?
meriva

Answer:

x > -1

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

4 0
2 years ago
Read 2 more answers
Which is the greater Length, 2 yards or 5 feet?
tatiyna
The greater length would be 2 yards. One yard is 3 feet, so 3*2=6. 6 is greater than 5.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression when x = 3 and y = 5 2xy
    9·1 answer
  • Help me with this plz
    12·1 answer
  • Find x when there's a right triangle,
    5·2 answers
  • "The majority of U.S. car owners still buy American cars."
    11·1 answer
  • LOOK AT PICTURE, THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
    13·2 answers
  • On?<br> 3x + 10 = -56<br> Whats the value of X
    14·1 answer
  • Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to h
    6·1 answer
  • An item is regularly priced at $30. It is now priced at a discount of 30% off the regular price. What is the price now?
    6·1 answer
  • Help me with this problem please it’s due today
    6·1 answer
  • Describe the correlation between highway mileage and engine size
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!