The weights of students of class XII follow normal distribution with mean 50 kg and standard deviation 2 kg. Find the probability that a student selected at random will have weight more than 54 kg.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 0.0228
Let X denote the weight of the students of class XII.
Given $μ = 50, σ = 2$, then $Z =\frac{X-50}{2}$
$P(X > 54) = P\left(Z >\frac{45-50}{2}\right)= P(Z >2)$
$=1-P(Z<2)=1-F(2) = 1-0.9772$
$= 0.0228$