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

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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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the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950