1) Suppose X is a continuous random variable with the pdf defined as below:

f(x) =912, 0 < x < 3.

True or false? The median of X is 1.5.

2) Suppose X is a continuous random variable with the pdf defined as below:

f(x) =912, 0 < x < 3.

What is P(X=2)?

3) Suppose X is a continuous random variable with the pdf defined as below:

f(x) =912, 0 < x < 3.

What is f(2)?

4) Let f(x) = kx where x is between 0 and 2. What is the value of k that makes this a legitimate density function?

a) None of the other choices is correct

b) 2

c) 1/2

d) 4

5) With a continuous random variable, P(a < X < b) is the area under the curve f(x) between a and b.

a) True

b) False

6) Let f(x) =3x² for 0 < x < 1.

What is P(X < 1/2)? Choose the closest answer!

a) 1/8

b) 1/2

c) 1

d) 1/4

7) Let f(x) =3x² for 0 < x < 1.

What is the mean of X? Choose the closest answer!

a) 2/4

b) 1/4

c) 1

d) 3/4

8) Let f(x) =3x² for 0 < x < 1.

What is the median of X? Choose the closest answer!

a) .8

b) .4

c) .2

d) .6

9) Let f(x) =3x² for 0 < x < 1.

True or False? P(X < 1/2) = P(X <= 1/2)

10) Suppose f(x) = 1/2 where 0 < X < 2.

True or false? The median of X is 0.50.