Here is a uniform probability distribution.


A) What is P(4 ≤ X ≤ 6)? Explain.

B) If P(X ≤ a) = 0.2, what is a? Explain.

Here is a uniform probability distribution A What is P4 X 6 Explain B If PX a 02 what is a Explain class=

Respuesta :

a) [tex]P(4\le X\le6)=\dfrac25[/tex] because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.

b) [tex]a=3[/tex] because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).