Suppose that the age that a child first learns to walk is represented by a random variable,X

X

, which is uniformly distributed between a=9.2 and b=13 months.Find the probability that a randomly selected person learned to walk younger than 9.7 months old.

Note that probability = area so we want to find the area of the shaded region. (The graph might not be to scale)

Step 1:Find the height,h

h

of the rectangle

(the total area = 1,A

A

= basex height, soh

=

1

13

9.2

h=113-9.2