4.9 The normal distribution

4.9 The normal distribution Quiz

IB Maths: Analysis and Approaches HL: Quiz

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5 questions, one answer each

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  1. 1. X∼N(80,62)X\sim N(80,6^{2}). Using the empirical rule, estimate P(68<X<92)P(68<X<92).

    • A. 68%
    • B. 95%
    • C. 99.7%
    • D. 47.5%

  2. 2. X∼N(30,42)X\sim N(30,4^{2}). Which is equal to P(X>34)P(X>34)?

    • A. P(X<26)P(X<26)
    • B. P(X<34)P(X<34)
    • C. P(X>26)P(X>26)
    • D. 0.340.34

  3. 3. X∼N(100,152)X\sim N(100,15^{2}). Find P(X>120)P(X>120), correct to 3 significant figures.

    • A. 0.9090.909
    • B. 0.09120.0912
    • C. 0.09180.0918
    • D. 0.1820.182

  4. 4. X∼N(50,82)X\sim N(50,8^{2}). Find aa such that P(X<a)=0.95P(X<a)=0.95, correct to 3 significant figures.

    • A. 63.263.2
    • B. 36.836.8
    • C. 66.066.0
    • D. 51.651.6

  5. 5. Which of these is least likely to be well modelled by a normal distribution?

    • A. The heights of adult women in a city
    • B. The number of heads in 3 coin tosses
    • C. The masses of eggs from a farm
    • D. Errors in repeated measurements of a length

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