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    Mathematics
    Grade10
    Easy

    Question

    If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then the standardized random variable is

    1. -1.5
    2. -1.7
    3. -1.2
    4. -5

    hintHint:

    The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

    The correct answer is: -1.2

      Step 1 of 1:
      We know that  Z = (X −µ)/σ
      now,
      z minus text  score  end text equals fraction numerator 35 minus 65 over denominator 25 end fraction
      equals fraction numerator negative 30 over denominator 25 end fraction equals negative 1.2

      Use formula Z = (X −µ)/σ

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