4.9 Normal distribution

4.9 Normal distribution Quiz

IB Maths: Applications and Interpretation HL: Quiz

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  1. 1. X∼N(50,102)X\sim N(50,10^2). Approximately what percentage of values lie between 3030 and 7070?

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

  2. 2. Which statement about a normal distribution is true?

    • A. Mean and median are equal
    • B. P(X=μ)=0.5P(X=\mu)=0.5
    • C. The curve touches the axis at μ±3σ\mu\pm3\sigma
    • D. The total area depends on σ\sigma

  3. 3. X∼N(30,42)X\sim N(30,4^2). Use your GDC to find P(X>33)P(X>33).

    • A. 0.7730.773
    • B. 0.2270.227
    • C. 0.06680.0668
    • D. 0.4010.401

  4. 4. X∼N(60,122)X\sim N(60,12^2). Find kk such that P(X<k)=0.75P(X<k)=0.75.

    • A. 51.951.9
    • B. 72.072.0
    • C. 66.066.0
    • D. 68.168.1

  5. 5. X∼N(60,122)X\sim N(60,12^2). Find kk such that P(X>k)=0.75P(X>k)=0.75.

    • A. 51.951.9
    • B. 72.072.0
    • C. 68.168.1
    • D. 48.048.0

Quiz