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26 May, 19:23

Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to - 0.5 < Z < 1.2 is 0.3085. 0.8849. 0.5764. 0.2815.

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  1. 26 May, 23:09
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    Answer: 0.5764

    Step-by-step explanation:

    By using the standard Normal distribution tables,

    The value correspond to z = 1.2 is P (Z<1.2) = 0.8849 (1)

    The value correspond to z = 0.5 is P (Z<0.5) = 0.6915 (2)

    The area under the standard Normal curve corresponding to - 0.5 < Z < 1.2

    = P (z<1.2) - P (z<-0.5)

    = P (z<1.2) - (1-P (z<0.5)) [∵ P (Z<-z) = 1-P (Z
    = P (z<1.2) - 1 + P (z<0.5)

    = 0.8849 - 1 + 0.6915 [From (1) and (2) ]

    = 0.5764

    Therefore, the area under the standard Normal curve corresponding to - 0.5 < Z < 1.2 is 0.5764.

    Hence, the correct answer is 0.5764.
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