Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:

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<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability density function is:

, elsewhere.
In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:

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More can be learned about the uniform distribution at brainly.com/question/13889040
Answer:

Step-by-step explanation:
Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?
<em> </em><em>In</em><em> </em><em>Depth</em><em>:</em><em> </em><em>Parallel lines never touch so</em><em> </em><em>they</em><em> </em><em>are</em><em> </em><em> Lines that have same slope but different y intercept</em><em>.</em><em> An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them. </em>
<em>Back</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>question</em><em>,</em><em> </em><em>let</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>Point</em><em> </em><em>S</em><em>lope</em><em> </em><em>Form</em><em>,</em>
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<em>Where</em><em> </em><em>y1</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>y</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>point</em><em>,</em><em> </em><em>m</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>slope</em><em> </em><em>and</em><em> </em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>x</em><em> </em><em>coordinates</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>points</em><em>.</em>
<em>Substitute</em><em> </em>
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</em>
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<em>Simplify</em>
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Answer:
28408
Step-by-step explanation:
212x134=28408
Answer:
0.789
Step-by-step explanation:
First, find the expected value (the mean).
μ = ∑ x P(x)
μ = (0) (0.359) + (1) (0.436) + (2) (0.180) + (3) (0.025)
μ = 0.871
Next, find the variance.
σ² = ∑(x − μ)² P(x)
σ² = (0 − 0.871)² (0.359) + (1 − 0.871)² (0.436) + (2 − 0.871)² (0.180) + (3 − 0.871)² (0.025)
σ² = 0.622
Finally, find the standard deviation:
σ = √0.622
σ = 0.789