Answer to Question #304122 in Statistics and Probability for Tupa

Question #304122

The height of learners (in cm) at a high school can be described by the N(174.50,47.61) distribution. If 1000 learners are randomly selected from the school, how many of them would you expect to have a height of less than 160.0 cm?


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Expert's answer
2022-03-03T10:43:12-0500

This is a normal distribution with μ=174.50,  σ=47.61=6.9.\mu=174.50,\;\sigma=\sqrt{47.61}=6.9.

P(X<160.0)=P(Z<160174.506.9)=P(Z<2.10)=0.0178.P(X<160.0)=P(Z<\frac{160-174.50}{6.9})=P(Z<-2.10)=0.0178.

Number of persons: n=0.01781000=18.n=0.0178*1000=18.


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