You are considering two investment opportunities. for investment a there is a 25% chance that you lose $20,000, a 50% chance that you break even, and a 25% chance that you make $80,000. for investment b there is a 30% chance that you lose $50,000, a 50% chance that you break even, and a 20% chance that you make $180,000. based on the expected value of each, which investment should you make?

Answer for the entire assignment of e2020! :) This will help future people in order to get a good grade!

You toss two number cubes. If a sum of 7 or 11 comes up, you get 7 points, if not you lose 2 points.

The probabilities for each of the sums is:

P(2) = 1/36      P(3) = 1/18       P(4) = 1/12       P(5) = 1/9

P(6) = 5/36       P(7) = 1/6       P(8) = 5/36       P(9) = 1/9

P(10) = 1/12       P(11) = 1/18       P(12) = 1/36  

The probability of a sum of 7 or 11 is:

2 / 9

The expected value of the number of points for one roll is:

0

In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score?

0.56

Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number comes up even, you lose 4 points.

What is the expected number of points per roll?

-0.5

A real estate agent spends $1,500 on advertising for three months to sell an average house. If the house sells in three months, the agent earns $9,000. Otherwise, he loses the listing and earns nothing. If there is a 40% chance that the house will sell in three months, what is the expected revenue for the real estate agent?

$2,100

In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win 1 point. If no heads come up, you lose 3 points.

What is the expected value of the number of points for each turn?

0.25

This game is FAVORABLE

You are considering two investment opportunities. For investment A there is a 25% chance that you lose $20,000, a 50% chance that you break even, and a 25% chance that you make $80,000. For investment B there is a 30% chance that you lose $50,000, a 50% chance that you break even, and a 20% chance that you make $180,000. Based on the expected value of each, which investment should you make?

The expected value of investment A is $ 15,000

The expected value of investment B is $21,000

Based on the expected value, you should make investment B

What is the expected number of female children in a family with three children?

1.5

You play a game in which two coins are flipped. If both coins turn up tails, you win 1 point. How many points would you need to lose for each of the other outcomes so that the game is fair?

1/3

A company is considering making a new product. They estimate the probability that the new product will be successful is 0.75. If it is successful it would generate $240,000 in revenue. If it is not successful, it would not generate any revenue. The cost to develop the product is $196,000. Use the profit (revenue − cost) and expected value to decide whether the company should make this new product. Which of the following did your solution include?

(Answers)

P = $240,000 – $196,000 = $44,000.

The expected value is a weighted average of each possible value weighted by its probability.

EV = ($44,000)(0.75) + ($–196,000)(0.25) = $–16,000.

The expect average profit is $–16,000.

The company should not make the product.

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2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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