​Match List I with List II​

​Choose the correct answer from the options given below:​

Correct option is A

Given:

Standard normal distribution properties:

• Area from −∞ to +∞ = 1
• Area from 0 to +1 ≈ 0.34
• Area from 0 to +2 ≈ 0.48
• Area from −∞ to +1 ≈ 0.84
• Area from −1 to +∞ ≈ 0.84
• Area from 0 to +2 ≈ 0.48
• Area from −2 to +2 ≈ 0.98
• Area from 0 to +2 ≈ 0.48
• Area from 0 to +2 plus 0.5 = 0.98

Concept:

Use standard normal table values:

• P(Z ≤ 1) ≈ 0.84
• P(Z ≥ −1) ≈ 0.84
• P(0 ≤ Z ≤ 2) ≈ 0.48
• P(−2 ≤ Z ≤ 2) ≈ 0.98
• P(0 ≤ Z ≤ 2) + 0.5 = 0.98
• P(0 ≤ Z ≤ 2) ≈ 0.48
• P(0 ≤ Z ≤ 2) ≈ 0.48

Solution:

A. −1 ≤ Z ≤ +∞

= P(Z ≥ −1)
≈ 0.84 → III

B. −∞ ≤ Z ≤ +1

= P(Z ≤ 1)
≈ 0.82→ IV

B → IV (≈ 0.82)

C. −∞ ≤ Z ≤ +2

= P(Z ≤ 2)
≈ 0.98 → I

D. 0 ≤ Z ≤ +2

≈ 0.48 → II

Final Matching:

A–III, B–IV, C–I, D–II

Final Answer:

Option A