CA Foundation · Quantitative Aptitude · Theoretical Distributions
The heights of students in a Chennai college are normally distributed with mean 160 cm and standard deviation 8 cm. Given that the area under the standard normal curve between Z = 0 and Z = 1.5 is 0.4332, the proportion of students taller than 172 cm is:
The proportion is 0.0668. The standardised value for 172 cm is (172-160)/8 = 1.5, and the upper tail beyond Z = 1.5 equals 0.5 minus 0.4332, which gives 0.0668.
- A0.4332
- B0.9332
- C0.0668Correct
- D0.1332
Explanation
Z = (172 - 160)/8 = 1.5. P(Z > 1.5) = 0.5 - 0.4332 = 0.0668. Option 0.9332 is P(Z < 1.5), the wrong tail, and 0.4332 forgets to subtract from 0.5.
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