Question

Heights of PU students is normally distributed with mean 155cm. and standard deviation 5cm. find the 

(i) Probability that a randomly selected PU student has height more than 155cm 

(ii) Percentage of PU students having height between 150 cm and 160 cm.

Answer 1

Let be heights is a normal variate with the mean μ = 155 and S.D σ = 5, then the S.N.V

= Area from 0 to ∞ = 0.5

No of Workers = 0.8413 × 5000 = 4206.5

= Area from (-) to ‘1’ = 0.8413 – 0.1587 = 0.6826 

The required percentage = 0.6826 × 100 =68.26%.