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

Group of answer choices

A- 1/2

B- 4

C- 2

D- None of the other choices is correct

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

Group of answer choices

A-True

B- False

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3- Let f(x) =323x2for 0 < x < 1.

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

Group of answer choices

A- 1

B- 1/8

C- 1/2

D- 1/4

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4- Let f(x) =323x2for 0 < x < 1.

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

Group of answer choices

A-3/4

B- 1/4

C- 1

D- 2/4

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5- Let f(x) =323x2for 0 < x < 1.

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

Group of answer choices

A- 0.6

B- 0.2

C- 0.4

D- 0.8

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6- Let f(x) =323x2for 0 < x < 1.

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

Group of answer choices

A- True

B- False

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7-

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

True or false? The median of X is 0.50.

Group of answer choices

A- True

A- False

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8- A continuous random variable has a(n) __________________________ number of possible values.

Group of answer choices

A- uncountably infinite

B- finite

C- countably infinite

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9-

A probability density function f(x) tells you how much probability is in the area near x.

Group of answer choices

A- True

B- False

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10- f(x) = 1/2 between 0 and 2. What is the probability that X is between 1 and 3?

Group of answer choices

A- 1/2

B- 1

C- 0