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
jeka94
3 years ago
10

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo

graphical errors on a page of second booklet is a Poisson random variable with mean 0.3. Suppose the number of errors on different pages of the same or different booklets is independent. There are 7 pages in the first booklet and 5 pages in the second one. Find the probability of more than 2 typographical errors in the two booklets in total.
Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

You might be interested in
Pls answer this pls pls pls btw I go to cmm
Thepotemich [5.8K]

Answer:

Mile = length

Cup = Volume

Pound= Mass

Centimeter = length

Liter = volume

Gram = mass

pint = volume

yard=length

kilogram=mass

teaspoon=volume

millimeter=length

Step-by-step explanation:

4 0
3 years ago
Pa answer po thank you <br><br><br><br>​
Arisa [49]

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

4 0
2 years ago
Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut d
Nimfa-mama [501]

Answer:

30 trees

Step-by-step explanation:

Given the policy:

8 trees are cut down 48 trees will be planted

If homeowner is going to cut down five trees on his property how many trees will be planted

Since :

8 trees cut down = 48 planted

5 trees cut down = X

Cross multiply :

8 * X = 48 * 5

8X = 240

X = 240/8

X = 30

Hence, 30 trees will need to be planted

4 0
3 years ago
Write 125 as a product of primes. Use index notation when giving your answer.
Mnenie [13.5K]

Answer:

5^3

Step-by-step explanation:

125= 5*25

25=5*5

5 is a prime number and there are 3 of them so the answer in index notation will be 5^3

3 0
3 years ago
Which inequality is represented by the graph?
Svetlanka [38]
C I think not sure I think tho.
7 0
3 years ago
Other questions:
  • Macy finished a job in 3/4 hours . James finished it in 4/5 of the time Macy took. How Long did James take to finish the job?
    13·2 answers
  • Write a multiplication sentence to describe each model
    14·1 answer
  • In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct _____
    8·1 answer
  • 18 is 0.75% of what number?
    13·1 answer
  • If the figure is a regular polygon find the value of x
    7·1 answer
  • One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 flo
    8·2 answers
  • if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle
    12·1 answer
  • - 17x2 - 30x = 40 What is b + c?​
    6·1 answer
  • Help me ASAP please!!!
    8·2 answers
  • Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!