What primarily drew early civilizations to the places they first populated?

A quiz-show contestant is presented with two questions, question 1 and question 2, and she can choose which question to answer f

Mrrafil [7]

Answer:

The contestant should try and answer question 2 first to maximize the expected reward.

Step-by-step explanation:

Let the probability of getting question 1 right = P(A) = 0.60

Probability of not getting question 1 = P(A') = 1 - P(A) = 1 - 0.60 = 0.40

Let the probability of getting question 2 right be = P(B) = 0.80

Probability of not getting question 2 = P(B') = 1 - P(B) = 1 - 0.80 = 0.20

To obtain the better option using the expected value method.

E(X) = Σ xᵢpᵢ

where pᵢ = each probability.

xᵢ = cash reward for each probability.

There are two ways to go about this.

Approach 1

If the contestant attempts question 1 first.

The possible probabilities include

1) The contestant misses the question 1 and cannot answer question 2 = P(A') = 0.40; cash reward associated = $0

2) The contestant gets the question 1 and misses question 2 = P(A n B') = P(A) × P(B') = 0.6 × 0.2 = 0.12; cash reward associated with this probability = $200

3) The contestant gets the question 1 and gets the question 2 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.4×0) + (0.12×200) + (0.48×300) = $168

Approach 2

If the contestant attempts question 2 first.

The possible probabilities include

1) The contestant misses the question 2 and cannot answer question 1 = P(B') = 0.20; cash reward associated = $0

2) The contestant gets the question 2 and misses question 1 = P(A' n B) = P(A') × P(B) = 0.4 × 0.8 = 0.32; cash reward associated with this probability = $100

3) The contestant gets the question 2 and gets the question 1 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.2×0) + (0.32×100) + (0.48×300) = $176

Approach 2 is the better approach to follow as it has a higher expected reward.

The contestant should try and answer question 2 first to maximize the expected reward.

Hope this helps!!!

3 0

2 years ago

The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the

docker41 [41]

The answer is She should have multiplied by 2 instead of dividing by 2.
First one.

6 0

3 years ago

Read 2 more answers

If 60 is 75% of s value, what is that value

ohaa [14]

Let's write it down:
"60 is 75% of s" means:

60=75%*s

75% is $\frac{75}{100}= \frac{3}{4}$ , (percent just means "out of 100" so we just divide it by 100) so we can also write:

60= $\frac{3}{4}$ s

now, let's multiply both sides by 4:

240=3s

and divide by 3:
80=s

So we have the result that the original value, s, is 80!

3 0

3 years ago

7) Write as a numeral: 40,000 + 7,000 + 600 + 40 + 3

Diano4ka-milaya [45]

Answer:

47,643

Step-by-step explanation:

This question is basically asking you to add up all of these numbers together and present the end result.

1) 40,000 + 7,000 = 47,000

2) 600 + 40 + 3 = 643

3) 47,000 + 643 = 47,643.

5 0