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
juin [17]
3 years ago
12

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event <em>E</em> is:

P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}=  2.5882\approx2.59

If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:

P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075

Compute the probability of <em>X</em> = 1 as follows:

\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943

Compute the probabilities for the rest of the values of <em>X</em> in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.

You might be interested in
One postive interger is 5 less than another. The product of the two intergerd id 24. What are the intergers?
Nesterboy [21]
Your function will be 24=X+(Y+5)

to solve you subtract 5 from each side giving you 19=X+Y now you divide the 19 by 2 so you figure out the base integers giving you 9.5

now you add 5 to one of your integers meaning 9.5+5=14.5

so your integers are 9.5 and 14.5

to check this you do 14.5-9.5 which equal 5 now you do 14.5+9.5 which equals 24
4 0
3 years ago
Choose the equation that represents the line passing through the point -3,-1 with a slope of 4
lubasha [3.4K]

Answer:y=4x+11

Step-by-step explanation:

Substitute the coordinates in each of the above equations,

Then the left hand side of the equation should be equal to the right hand side of the equation.

By substituting the above coordinates in the second answer,

-1= 4(-3)+11

-1=-1

6 0
3 years ago
Read 2 more answers
How do u type negative one on here
ipn [44]

Answer:

-1

Step-by-step explanation:

7 0
2 years ago
A = 6 - 35 B = 3x + 53<br> Solve for x then find the measure of A.
11111nata11111 [884]

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

6 0
2 years ago
What is 713.49 written in standard form?
Nuetrik [128]

Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

4 0
2 years ago
Other questions:
  • What is tanA?<br><br> A. 15/17<br><br> B. 8/17<br><br> C. 8/15<br><br> D. 15/8
    13·2 answers
  • TWO MINUTES HELP MY PLEASE
    9·2 answers
  • What is the answer to x/2+3=12
    5·2 answers
  • A Woman Is 72 Years Old But She Has Only 18 Birthdays ! why ?
    12·2 answers
  • Help me answet this question please i need help
    10·1 answer
  • PLEASE HELP ITS DUE IN 15 MINSS!!!!!
    11·2 answers
  • 7 1/8 convert into a decimal and put the steps
    13·2 answers
  • An inequality is shown below.
    14·1 answer
  • If the simple interest on $5,000 for 9 years is $1,800, then what is the interest rate?
    8·1 answer
  • 3. Angles X and Y have a sum of 159 degrees. Angle X is 43 degrees smaller than angle Y.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!