Question

The weight of softballs is uniformly distributed over the interval of 8 to 12 ounces, inclusively. what is the probability that a randomly selected softball will weigh between 13 and 15 ounces?

Answer 1

We wil use the density function of the uniform distribution:
$f(x)=\dfrac{1}{b-a}\int_a^xdy$
Using the given values: a=8,b=12, w get:
$P(13\leq X\leq15)=\dfrac{1}{12-8}\int_{13}^{15}dy\\ =\dfrac{1}{12-8}*0=0$
the probability is zero then.