Answer:
[tex] P(X<50.4)[/tex]
And for this case we can use the cumulative distribution given by this formula:
[tex] F(x) = \frac{x-a}{b-a}[/tex]
And if we use this formula we got:
[tex] P(X<50.4)= F(50.4) = \frac{50.4- 50}{52-50}= 0.2[/tex]
And then the probability that the class length is less than 50.4 min is 0.2
Step-by-step explanation:
Let X the random variable who represent the lengths of a professor's classes, and the distribution for X is given by:
[tex] X \sim Unif (a= 50, b=52)[/tex]
And we want to find the following probability:
[tex] P(X<50.4)[/tex]
And for this case we can use the cumulative distribution given by this formula:
[tex] F(x) = \frac{x-a}{b-a}[/tex]
And if we use this formula we got:
[tex] P(X<50.4)= F(50.4) = \frac{50.4- 50}{52-50}= 0.2[/tex]
And then the probability that the class length is less than 50.4 min is 0.2
