You are the forecaster responsible for hurricane warnings on the southeast corner of the United States in September. Anyone that has lived in North Carolina for a while knows what is it is like at that time of the year, for example. The cost of issuing a warning like a hurricane involves people taking shelter, business stopping, the areas's economy paused - a moderate cost of C dollars. You also know the preventable loss should a hurricane come and the area be unprepared: property damage, lives lost -an extremely high loss of L dollars. Your weather forecast indicates hurricane with a probability of p.
(a) Should you issue a warning? Use expectations to create a decision rule for whether issuing or not a warning. Explain your rule.
(b) For what kind of extreme weather warnings is the decision more likely to be "do not warn" than "warn"? Explain.

Answers

Answer 1

Answer:

A)

C ≤ LP   issue warning

C > LP do not issue warning

B )

For ' do not warm ' the condition will be that C is moderate while L is extremely high

Step-by-step explanation:

Assuming Y is an indicator that represents if a warning is issued or not

probability of occurrence of Hurricane = p

where;  C = cost of issuing a warning

             L = cost incurred for not issuing warning

A) Determine if you should issue a warning or not

In this scenario there are about four possible cases

'do not warn' , ' Hurricane did not occur ' : ( 1-y) ( 1-p)' do not warn ' , ' Hurricane occurred ' : ( 1-y ) p ' warn' , ' Hurricane did not occur' : y ( 1-p)' warn', ' Hurricane occurred' : y (p)

hence the expected cost ( E ) = L ( 1 - Y )p  + Cy

when warning is issued = Y ( 1 )

expected cost ( E ) = C

assuming warning is not issued then Y = 0

hence expected cost ( E ) = LP

Hence the decision rule will be :

C ≤ LP   issue warning

C > LP do not issue warning

B) For ' do not warm ' the condition will be that C is moderate while L is extremely high ( as seen in the question ) because this will make  C/L to be very small. from the condition C > LP  and this simply means that the probability of the Hurricane occurring is very small


Related Questions

Which situations can be simulated using this spinner? Select three options.

A spinner with 6 equal sections.

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Answer:

What are the options?

Step-by-step explanation:

Answer:

the answer is A and C if its a multipul choice question if not try answer A

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Simplify.
(1) x + x + x + x4 น”​

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Answer:

Sorry my handwriting is terrible :) :p

Step-by-step explanation:

please help me if the answer is right i will give u brainlyiest
thanks! <3​

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Answer:

The first one

Scale factor is 7

x = 3

The second one

Scale factor is 9

x = 99

Step-by-step explanation:

The first one

You can find out by dividing 49 by 7 which is 7

to find x =  21 divided by 7 is 3

The second one

You can find out by dividing 162 by 18 which is 9

to find x =  11 multiplied by 9 (since it is "opposite") is 99

HELP PLEASE ITS URGENT

What is m
Look at the image above

Answers

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

Stefani received a loan for $2,000 and now has acquired $720 in interest. If she pays an annual interest of 4.5% on the amount borrowed. how much time has elapsed since Stefani received the loan?

Answers

Answer:

8 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

t = 720 / ( 2000 × 0.045 ) = 8

t = 8 years

The time required to

accumulate simple interest of $ 720.00

from a principal of $ 2,000.00

at an interest rate of 4.5% per year

is 8 years.

Examine the worked problem and solve the equation​

Answers

Answer:

The solution is 9

A student claims that if y-values are not increasing as x-values increase, then the data must show a negative association. Explain the error the student made.

Answers

Answer:

Because it can just stay constant. It may not change at all, so that's not a negative association

Step-by-step explanation:

is this linear or non linear?
x. 0,2,4,6
y. 2,6,18,38

Answers

i’m pretty sure that will be linear.

I need help with this today

Answers

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Is an egg a fruit or a vegetable?

Answers

Answer:

fruit

Step-by-step explanation:

can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked


For each situation, find the unit rates.
1.
A cheesecake recipe says, “Mix 12 oz of cream cheese with 15 oz of sugar."
a.
How many ounces of cream cheese are there for every ounce of sugar?
b.
How many ounces of sugar is that for every ounce of cream cheese?

Answers

Answer:

Step-by-step explanation:

(12 oz cream cheese)/(15 oz sugar) = (12/15 oz cream cheese)/(oz sugar)

= ⅘ oz cream cheese per ounce of sugar.

:::::

(15 oz sugar)/(12 oz cream cheese) = (15/12 oz sugar)/(oz cream cheese)

= 5/4 oz sugar per ounce of cream cheese.

What does Q equal to

Answers

Bro give more details that could literally be anything

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answers

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

I NEED REAL HELP MATH HELP NEEDED

Answers

Answer:

The right answer is the last one! :)

Step-by-step explanation:

Answer: It’s 2, the solution is correct

Step-by-step explanation:

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Answers

Answer:

f(x)= -4x

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

What is the factored form of x2 – X-2?
0 (x - 2)(x + 1)
(x + 2)(x + 1)
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Answers

Answer:

( x-2) (x+1)

Step-by-step explanation:

x^2 – x-2

What two numbers multiply to -2 and add to -1

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( x-2) (x+1)

Answer:

(x+2)(x-1)

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x^2-x-2

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URGENT!!! Find the value of x using the similar trapezoids below.

Answers

Answer:

x= 30

Step-by-step explanation:

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an isosceles triangle has an angle of 9x+1 and another of 88, find x

Answers

Answer:

Step-by-step explanation:

2(9x+1)+88=180

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Answers

Answer:

I’m sorry I don’t know the answer

Step-by-step explanation:

Answer:

7/32/1/6

you separate the fractions

7/32÷1/6

change the division sign to multiplication then you take the denominator up and the numerator down.

7/32×6/1

then multiply

42/32

reduce to the lowest term

21/16

Plz help mee I am bad at math

Answers

it would be option D

Answer:

c. 42 1/12

Step-by-step explanation:

sorry if it's wrong. this was an educated guess

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Answers

Answer:

P=2

Step-by-step explanation:

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Answer:

Correct answer is 27. Upvote it. Welcome.

Someone please help!!!!! i will mark brainliest :)

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Answer:

you have to solve all of the equations i none square and then once you have all of the answers in each square, add them up and then solve the questions down below

Step-by-step explanation:

correct me if im wrong

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1. this question is quite simple because they already gave out the volume for all the blocks, so add them all up!
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39.5

Step-by-step explanation:

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C

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b

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: 2y/w-3x

That should be correct

1. distribute
2(w-3x)
2w-6x

2. 2w-6x/1=4y/z
4y=(2w-6x)z

I know the way that I do the step above isn’t how everyone does it, but it is what works for me. I cross multiplied.

z=4y/2w-6x

I hope this helps!

Need this ASAP please

Answers

I think it’s 87 degrees

hopefully that comment helps

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