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20 February, 15:39

Find the area under the standard normal probability distribution between the following pairs of z-scores. a. zequals0 and zequals1.00 b. zequals0 and zequals2.00 c. zequals0 and zequals3.00 d. zequals0 and zequals0.62

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  1. 20 February, 17:13
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    Step-by-step explanation:

    We will look at the normal distribution table for the probability values.

    1) for z = 0, probability value = 0.5

    for z = 1, probability value = 0.84

    Area under the curve = 0.84 - 0.5 = 0.34

    2) for z = 0, probability value = 0.5

    for z = 2, probability value = 0.98

    Area under the curve = 0.98 - 0.5 = 0.48

    3) for z = 0, probability value = 0.5

    for z = 3, probability value = 0.999

    Area under the curve = 0.999 - 0.5 = 0.499

    4) for z = 0, probability value = 0.5

    for z = 0.62, probability value = 0.73

    Area under the curve = 0.73 - 0.5 = 0.39
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