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
love history [14]
3 years ago
12

Suppose that the number of asbestos particles in a sample of 1 squared centimeter of dust is a Poisson random variable with a me

an of 1000. What is the probability that 10 squared centimeters of dust contains more than 10110 particles?
Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

The approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357

Step-by-step explanation:

For a sample of 10 sqaured centimeters of dust, the total amount of asbestos particles has a Poisson distribution with a mean of 1000/1 * 10 = 10000.

We will approximate this probability to a normal distribution. The variance is also 10000 (because it is poisson), therefore the standard deviation is √10000 = 100. Lets call X the distribution, and W its standarization, given by

W = \frac{X-\mu}{\sigma} = \frac{X-10000}{100}

We have

P(X>10110) = P(\frac{X-10000}{100} > \frac{10110-10000}{100}) = P(W > 1,1) = 1-\phi(1,1) = 1-0.8643 = 0.1357

Where \phi is the cummulative distribution function of a standard normal distribution. The values of \phi are well known and they can be found in the attached file.

We conclude that the approximate probability that 10 squared centimeters of dust contains more than 10110 particles is 0.1357.

Download pdf
You might be interested in
87 oz to lb to oz pls help still new and im stupid
Gekata [30.6K]

Answer:

5.4375 Pounds (lb)

Step-by-step explanation:

By using the calculator, and dont call your self stupid we all need help sometimes

8 0
3 years ago
Describe a situation that can be modeled by the expression x-8
riadik2000 [5.3K]
Sarah had some cookies. She then gave her friend, Mike, eight cookies. 
4 0
3 years ago
Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.
Vlada [557]
To find the decreased percentage,here's what we can do:
\frac{originl \: value - new \: value}{originl \: value}  \times 100\%

In this case,the eqaution would be:
\frac{280 - 210}{280}  \times 100\% \\  =  \frac{70}{280}  \times 100\% \\  =  \frac{1}{4}  \times 100\% \\  = 25\%
Hope it helps!
5 0
3 years ago
Can you give me the anwsers fast pls
Yakvenalex [24]

Answer:

false true false true

Step-by-step explanation:

4 0
2 years ago
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
Dimas [21]

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

5 0
2 years ago
Other questions:
  • Helpppppppp me please:(
    10·1 answer
  • The product of the square of x and seven
    10·1 answer
  • What’s the correct ordered pair thanks
    7·1 answer
  • What times itself 4 times gets you 10000
    8·2 answers
  • Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In you
    7·1 answer
  • Find the exact area of the circle with circumference = 30pi
    10·1 answer
  • The 2020 population of Charlotte,NC is nine hundred five thousands, three hundred eighteen. How is the population of charlotte w
    12·1 answer
  • Solve:<br> -1/4a - 4 = 4
    5·2 answers
  • Tiffany had to pay a sales tax for the outfit she bought at the store. What is sales tax?
    15·1 answer
  • A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!