Step 1: Noise standards in India (IS:4954–1964).
The Bureau of Indian Standards (IS:4954–1964) provides guidelines for acceptable ambient noise levels in different areas:
- Industrial areas: 75–95 dB
- Commercial areas: 55–65 dB
- Residential areas: 35–45 dB
- Silence zones: below 40 dB
Step 2: Match with options.
For urban residential areas, the prescribed range = 35–45 dB.
Step 3: Eliminate wrong options.
- (B) 65–75 → Too high, applies to industrial. ✗
- (C) 20–30 → Too low, not practical for urban areas. ✗
- (D) 15–25 → Silent library standards, not residential. ✗
Final Answer: \[ \boxed{35–45 \; \text{dB}} \]
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches, and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?