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17 February, 04:47

1. Use a table of standard normal curve areas to find the following:

a. The area to the left of z = 1.88

b. The area to the right of z = 1.42

c. The area to the left of z = - 0.39

d. The area to the right of z = - 0.46

e. The area between z = - 1.22 and z = - 0.5

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Answers (1)
  1. 17 February, 04:58
    0
    a) 0.969

    b) 0.0778

    c) 0.348

    d) 0.677

    e) 0.1973

    Step-by-step explanation:

    In the table of standard normal curve areas the area to the left of the z score represents the probability less than the z score. while, the area to the right of the z score represents the probability greater than the z score

    a) The area to the left of z = 1.88

    or

    P (z < 1.88) = 0.969 [From table of standard normal curve areas]

    b. The area to the right of z = 1.42

    or

    P (z > 1.42) = 0.0778 [From table of standard normal curve areas]

    c. The area to the left of z = - 0.39

    or

    P (z < - 0.39) = 0.348 [From table of standard normal curve areas]

    d. The area to the right of z = - 0.46

    or

    P (z > - 0.46) = 0.677 [From table of standard normal curve areas]

    e. The area between z = - 1.22 and z = - 0.5

    or

    ⇒ P (z < - 0.5) - P (z < - 1.22)

    or

    ⇒ 0.3085375 - 0.1112324 [From table of standard normal curve areas]

    = 0.1973
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