Normal Distribution Question #1

This is an interesting question from ACJC’2014 Prelim Exam. I feel that it test a lot on students’ understanding of the normal distribution curve.

The height $X$ , in centimetres, of a randomly chosen girl in HTAM Junior College is normally distributed with mean $\mu$ cm and standard deviation $\sigma$ cm.

Given that $P(X > \mu - \sigma) + P(x > \mu + \sigma) + P(\mu < X < \mu +2 \sigma)=1.38$ , find the $P(X > \mu + 2\sigma)$ .

Hint: Draw the curve and shade it out according. 🙂

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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JA November 11, 2015
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Hi the info given in your question is missing an info, because i checked the question in my question paper and you forgot to add in an expression. If not, the equation u given is =1, not 1.38
- KS Teng November 11, 2015
  Reply
  yup, thanks. the syntax didnt parse.

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Normal Distribution Question #1

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