Respuesta :
Answer:
[tex] X \sim Unif (a= 0, b=60)[/tex]
And we want to find the following probability:
[tex] P(X>30)[/tex]
And for this case we can use the cumulative distribution given by:
[tex] F(x) =\frac{x-a}{b-a}, a \leq x \leq b[/tex]
And for this case if we use this formula and the complement rule we have:
[tex] P(X>30)= 1-P(X<30) = 1- \frac{30-0}{60-0}= 1-0.50= 0.50[/tex]
Step-by-step explanation:
Let X the random variable who represent the pizza delivery time and we know that the distribution for x is given by:
[tex] X \sim Unif (a= 0, b=60)[/tex]
And we want to find the following probability:
[tex] P(X>30)[/tex]
And for this case we can use the cumulative distribution given by:
[tex] F(x) =\frac{x-a}{b-a}, a \leq x \leq b[/tex]
And for this case if we use this formula and the complement rule we have:
[tex] P(X>30)= 1-P(X<30) = 1- \frac{30-0}{60-0}= 1-0.50= 0.50[/tex]
