Answer:
The probability is [tex]P(X > 31.7) = 0.54[/tex]
Step-by-step explanation:
From the question we are told that
P is uniformly distributed between[tex]a= 29[/tex] and [tex]b=34[/tex] pounds per square inch (psi)
Generally the uniform distribution cumulative distribution function is mathematically represented as
[tex]F(x ) = \left \{ {{ 0 \\ \ \ \ \ \ x \le a} \atop { \frac{x-a}{b-a} \ \ \ \ \ \ \ \ a < x < b}} \atop {1 \ \ \ \ \ \ \ \ \ \ \ \ \ x \ge b}} \right.[/tex]
Generally the probability that the pressure of a tire will be above 31.7 psi
[tex]P(X > 31.7) = \frac{ 31 . 7 - a }{b-a}[/tex]
=> [tex]P(X > 31.7) = \frac{ 31 . 7 - 29 }{34-29}[/tex]
=> [tex]P(X > 31.7) = 0.54[/tex]
