The answer would be log(x)
Using it's concept, there is a 0.125 = 12.5% probability that the escape happens at 4.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Considering that the bounds for a discrete brownian walk is [-3, 4], the possible outcomes are:
-3, -2, -1, 0, 1, 2, 3, 4.
A escape at 4 is one outcome, hence the probability is given by:
p = 1/8 = 0.125.
0.125 = 12.5% probability that the escape happens at 4.
More can be learned about probabilities at brainly.com/question/14398287
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Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.