Answer:
The value is [tex]P(X \le 22) = 0.2[/tex]
Step-by-step explanation:
From the question we are told that
The lower limit of the interval is [tex]a = 20[/tex]
The upper limit of the interval is [tex]b = 30[/tex]
Generally the cumulative distribution function for uniform distribution is mathematically represented as
[tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \ \ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for a \le x \le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \ for x > b}\right.[/tex]
Generally the probability that an oil change job is completed in less than or equal to 22 minutes is mathematically represented as
[tex]P(X \le 22) = \frac{22 - 20}{30 - 20 }[/tex]
=> [tex]P(X \le 22) = 0.2[/tex]
