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:

, elsewhere.
<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:

, elsewhere.
More can be learned about the uniform distribution at brainly.com/question/13889040
Answer:
The horizontal axis represents TIME
Step-by-step explanation:
In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.
Answer:
number of scores between 490 and 610 is = 0.68 x 300 = 204
Step-by-step explanation:
The concept of Probability distribution is applied as it relates to the Z-scores.
Z = X - Mean /Standard deviation
The detailed steps and appropriate substitution is as shown in the attached file.
Create equations:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)