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Applied Mathematics · 2024 · 3 marks

CBSE 2024 · Central · Set 4 · Q29

Given that the scores of a set of candidates on an IQ test are normally distributed. If the IQ test has a mean of 100 and a standard deviation of 10,…

Given that the scores of a set of candidates on an IQ test are normally distributed. If the IQ test has a mean of $\displaystyle 100$ and a standard deviation of $\displaystyle 10$, determine the probability that a candidate who takes the test will score between $\displaystyle 90$ and 110. [Given $\displaystyle \mathrm{P}(\mathrm{Z}<1)=0.8413$ and $\displaystyle \mathrm{P}(\mathrm{Z}<-1)=0.1587$]

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