If an event cannot occur, then its probability is:

Question

The distribution function \( F(X) \) of a discrete random variable \( X \) is given. Then \( P[X = 4] + P[X = 5] \):
\[ \begin{array}{|c|c|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline F(X = x) & 0.2 & 0.37 & 0.48 & 0.62 & 0.85 & 1 \\ \hline \end{array} \]

Answer 1

Step 1: Identify the type of event. The event described in the question cannot occur. Therefore, it is an impossible event.

Step 2: Apply the probability rule. For an impossible event, \[ P(\varnothing)=0. \] Hence, \[ P(E)=0. \] Conclusion: \[ {0} \] Hence, the correct answer is Option (D).

Economic System	Characteristics
a. Capitalism	i. Private ownership of resources; market-driven economy with minimal government intervention
b. Socialism	ii. Government ownership of key industries; centralized economic planning
c. Mixed Economy	iii. Combination of private and government ownership; focus on social welfare and regulation
d. Market Economy	iv. Private ownership with some government regulation; competition and market forces determine economic outcomes

If an event cannot occur, then its probability is:

Show Hint

The Correct Option is D

Solution and Explanation

Top Questions on Probability

Questions Asked in Karnataka PGCET exam