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zloy xaker [14]
2 years ago
4

Billy has a von Neumann-Morgenstern utility function U(c) = c 1/2. If Billy is not injured this season, he will receive an incom

e of 25 million dollars. If he is injured, his income will be only 10,000 dollars. The probability that he will be injured is .1 and the probability that he will not be injured is .9. His expected utility is
Mathematics
1 answer:
dusya [7]2 years ago
3 0

Answer: The expected utility is 0.59.

Step-by-step explanation:

Since we have given that

U(c)=\sqrt{c}

Probability that he will be injured = 0.1

Probability that he will not be injured = 0.9

If Billy is not injured this season, he will receive an income of 25 million dollars.

and

If he is injured, his income will be only 10,000 dollars.

According to question, the expected utility is given by

E[x]=0.9\times \sqrt{(0.01)}+0.1\times \sqrt{25}\\\\E[x]=0.9\times 0.1+0.1\times 5\\\\E[x]=0.09+0.5\\\\E[x]=0.59

Hence, the expected utility is 0.59.

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Answer:

m

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

step 1

Find the measure of arc EF

m

we have

m

substitute

45\°=\frac{1}{2}(arc\ EF)

arc\ EF=90\°

step 2

Find the measure of arc EH

m

we have

m

substitute

49\°=\frac{1}{2}(arc\ EH)

arc\ EH=98\°

step 3

Find the measure of arc FGH

arc\ FGH=360\°-(arc\ EH+arc\ EF)

substitute the values

arc\ FGH=360\°-(98\°+90\°)

arc\ FGH=172\°

step 4

Find the measure of angle FEH

m

we have

arc\ FGH=172\°

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m

7 0
2 years ago
By which smallest number should 42592 be divided so that the quotient is a perfect cube?​
QveST [7]

Answer:

it's 55

Step-by-step explanation:

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8 0
2 years ago
Set his alarm with a probability of 0.10. If he sets the alarm, it will wake him on time to make his first class with a probabil
Tomtit [17]

Answer:

C) 0.880

B) 0.075

Step-by-step explanation:

If the professor forgets to set the alarm

Probability = 0.1,

Wakes up in time probability = 0.25.

If the professor sets the alarm

Probability = 1 - 0.1 = 0.9

Wake up in time probability = 0.95.

A.)

The probability that professor Moore wakes up in time to make his first class tomorrow

Probability = ( Forgets to set alarm probability x Wakes up in time )+ ( Sets the alarm probability x Wakes up in time ) = ( 0.1 x 0.25 ) + ( 0.9 + 0.95 ) =  0.88

B.)

Late in the class

Set the Alarm Probability = 0.1

Wakes up late probability = 1 - 0.25 = 0.75

Professor Sets the alarm probability = Set the Alarm Probability x Wakes up late probability  = 0.1 x 0.75 = 0.075

3 0
2 years ago
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first pe
muminat

Answer:

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, we have that:

Event A: Both Napoleon and Pedro catch the bus, so P(A) = 0.25.

Event B: Making to their first period class on time.

However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61.

This means that P(B|A) = 0.61

What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time

P(B|A) = \frac{P(A \cap B)}{P(A)}

0.61 = \frac{P(A \cap B)}{0.25}

P(A \cap B) = 0.61*0.25

P(A \cap B) = 0.1525

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

8 0
2 years ago
Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest
olga55 [171]

Answer:

  • <em><u>$869,776</u></em>

Explanation:

<u>1. Mortgage table</u>

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

<u>2. Amount borrowed</u>

You will make a 22% down payment:

        22\%\times \$ 426,000=\$ 93,720

Thus the amount borrowed is $426,000 - $93,720 = $332,280

<u>3. Monthly payment</u>

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

      \$ 6.74\times 322,280/1,000=\$ 2,239.57

<u />

<u>4. Total monthly payments:</u>

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

        \$ 2,239.57\times 240=\$ 537,496.13

<u>5. Total payment for the home.</u>

The total payment for the home will be the down payment plus the amount paid to the bank:

  • $322,280 + $537,496 = $869,776

6 0
2 years ago
Read 2 more answers
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