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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The solution to this equation is x=4.6 because 19.32/4.2=4.6
The difference in gallons per day used is 3.6.
The formula to calculate a z-score is:

,
where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

For both equations, we will cancel the 1.2 by multiplying both sides:

Now we will cancel 2.2 from both equations by adding it to both sides:
3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X
The difference in gas used per day would be given by
5.8-2.2 = 3.6.
2x+3y=12
Subtract by 2x
3y=-2x+12
Divide by 3
y=-2/3x+4