Virtual Labs

a: Power set of

\Omega

Explanation

b:

\{\phi, \Omega, \{w_1\} \}

Explanation

c:

\{\phi, \Omega, \{w_1, w_3, w_4\}, \{w_2\}, \{w_3\}, \{w_1, w_2, w_4\}, \{w_1, w_4\}, \{w_2, w_3\} \}

Explanation

d:

\{\phi, \Omega, \{w_1, w_3, w_4\}, \{w_2\} \}

Explanation

a: If

A \& B

are independent, then

A \cap B = \phi

Explanation

b: A probability space

(\Omega, \mathcal{F}, \mathbb{P})

is called a complete space if atleast one of the subset of each null sets are events. Explanation

Explanation

c: Impossible event is null, but null events need not be impossible Explanation

Explanation

d: All of the above Explanation

Explanation

a: Less than 1 Explanation

Explanation

b: Greater than or equal to 1 and less than 4 Explanation

Explanation

c: Greater than or equal to 4 and less than 5 Explanation

Explanation

d: Greater than or equal to 5 Explanation

Explanation

Random Variables