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
Eduardwww [97]
3 years ago
9

Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2

00-gram chocolate bar being 10.2. 15. What is the expected number of insect fragments in 1/4 of a 200-gram chocolate bar? 16. What is the probability that you have to eat more than 10 grams of chocolate bar before nding your rst fragment? 17. What is the expected number of grams to be eaten before encountering the rst fragment?
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 grams

You might be interested in
Find the area of the sector
Setler [38]

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

6 0
2 years ago
Do y'all know which one it is if so tell me and plz explain why.
irina1246 [14]

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

5 0
3 years ago
Read 2 more answers
What is the gcf of 18 and 54​
katrin2010 [14]

Answer:

18 is the GCF

Step-by-step explanation:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

6 0
2 years ago
Read 2 more answers
a fish tank has a height of 30 inches, length of 20 inches, and a width of w 25 inches. how many cubic inches will the tank hold
dexar [7]

Answer:

Here is your answer!

Step-by-step explanation:

6 0
3 years ago
Please help it’s argent!!
vichka [17]

Answer:

=($25×5)+($125×5)

=$125+$625

=$750

6 0
1 year ago
Other questions:
  • A pizzeria makes pizzas in the shape of a regular octagon, and cuts them into 8 identical triangular slices. The diameter of the
    7·1 answer
  • 3x–8=0.5(8x+4)<br> Solve for X
    15·2 answers
  • Can you help me with this question.
    8·1 answer
  • What fraction does This Model represent
    5·2 answers
  • Help asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    10·1 answer
  • 39°<br> .(91-x9)<br> What solves for x
    5·1 answer
  • Find the m ABC if ray BD bisects LABC.
    12·1 answer
  • (5,3), m=7 <br> Write the equation given the point and slope.
    5·1 answer
  • The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
    14·2 answers
  • An item marked at Dhs.840 is sold for Dhs.756. What is the discount %? a 84% b 20% c 10%​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!