Respuesta :
Answer:
[tex] P(X>67)[/tex]
And for this case we can use the cumulative distribution function given by:
[tex] F(x) = \frac{x-a}{b-a} = \frac{x-62}{87-62} , 62 \leq X \leq 87 [/tex]
And for this case we can use the complement rule and the cumulative distribution function and we got:
[tex] P(X>67)= 1-P(X<67) = 1- \frac{67-62}{87-62}= 1-0.2=0.8 [/tex]
Step-by-step explanation:
For this case we define the random variable X as "High temperatures in a certain city for the month of August" and the distribution for X is given by:
[tex] X \sim Unif (a=62, b =87)[/tex]
And for this case we want to find this probability:
[tex] P(X>67)[/tex]
And for this case we can use the cumulative distribution function given by:
[tex] F(x) = \frac{x-a}{b-a} = \frac{x-62}{87-62} , 62 \leq X \leq 87 [/tex]
And for this case we can use the complement rule and the cumulative distribution function and we got:
[tex] P(X>67)= 1-P(X<67) = 1- \frac{67-62}{87-62}= 1-0.2=0.8 [/tex]
