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
irina [24]
3 years ago
14

A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of tune, an average of 28 pa

rticles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives m a particular one second period. Round your answer to four decimals. Find the probability that at least two particles arrive in a particular 2 second period. Round your answer to four decimals. The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 19 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes? Give your answer accurate to two decimal places.
Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

<u><em>Part I</em></u>

p(x=1)=0.0000

p(x=2)=0.0000

<u><em>Part II</em></u>

p(x)=0.11

Step-by-step explanation:

For Poisson distribution:

p(X=x)=e^-m\frac{m^x}{x!}

Where m=mean, x=number of events

Given x=1, and mean,m=28

p(X=1)=\frac{e^{-28} *28^1}{1!}\\p(X=1)=0.0000

For x=2 and mean,m=28

p(X=2)=\frac{e^{-28} *28^2}{2!}\\p(X=2)=0.0000

For Uniform Distribution

Time interval 10 and 19 minutes is 9

Time interval between 15 and 16 minutes is 1

Therefore:-

p(x)=\frac{1}{9}\\p(x)=0.1111\\p(x)=0.11  \ (2d.p)

You might be interested in
Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30. Let x represent
FromTheMoon [43]
(n = # of nickels)
x + n = 150
n = (150 - x)
8 0
3 years ago
Please help and explain how you got the answer
Thepotemich [5.8K]

first one because you’re multiplying everything inside the parenthesis by 3

3 0
3 years ago
Read 2 more answers
josh has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike. write an equation to determine
Zepler [3.9K]

17+2(2)=h would be the equation

6 0
3 years ago
You bought a large cooler that holds 5 gallons. How many quarts is that?
Korvikt [17]
First we will see how many quarts are in a gallon.

1 gallon = 4 quarts. 

Now lets MULTIPLY to get our answer.  

5 gallon = ? quarts

5 × 4 = 20 

So, the cooler has 20 quarts or 5 gallons.

Hope I helped ya!!!!!!!
4 0
3 years ago
Read 2 more answers
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a
Cerrena [4.2K]
K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
Answer: The scale of dilation is 2.5
6 0
4 years ago
Read 2 more answers
Other questions:
  • ava's class bought 6 packages of balloons for a school celebration. Each package had 30 balloons. If 17 balloons were left over,
    12·2 answers
  • Is 18,000 g greater than less than or equal to 10 kg?
    9·1 answer
  • Could someone help me with this?
    7·2 answers
  • Amy subtracts 342 frm 456 and gets 114. What addition equation can she use to check her answer? Draw a bar diagram to show how t
    6·1 answer
  • Anyone who could do these 8 listed questions I will give a generous amount of points. Please make sure to list all the angles th
    11·1 answer
  • Kim earns $30 for babysitting on Friday nights she makes an average of $1.25 in tips per hour write the function of Kim’s earnin
    14·1 answer
  • What is the distance between the following points?
    12·2 answers
  • Helppppppppppppp i suck at math
    14·1 answer
  • Which missing numbers make the following expressions equivalent?
    7·2 answers
  • I need help plssss..
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!