Question

Consider a continuous uniform density curve ranges from x = 2 to x = b. The height of the curve is 1/7. What is the value of b?

Select one:

a. 5

b. 9

c. 10

d. 7

Answer 1

A continuous uniform density curve ranges from x=2 to x=b.

The height of the curve is 1/7.

To find the value of b.

Now, we know that as this is a continuous distribution, this has a rectangular shape, with height same as the PMF of the distribution (which is constant at all points in the range), in this case.

Now, if X be this random variable, then X~uniform(2,b).

So, PMF of X is

f(x)=1/(b-2) when 2<x<b;

=0 when x=otherwise;

So, as given,

1/(b-2)=1/7

ie. b-2=7

ie. b=2+7=9

So, the answer is

value of b is (b) 9.