Question

1. For the standard normal curve, compute the following probabilities. Do not use your calculator. Use the standard normal table in the appendix of your textbook. This will require you to show work (sometimes trivial) such as subtracting probabilities, subtracting a probability from 1, etc.

1. P[ -.39 < Z < 1.69]

                   

2. P[Z ≥ 1.14]

3. P[Z < -1.42]

4. P[1.27 < Z ≤ 1.38]

Answer 1

ANSWER:

Given that,

For the standard normal curve, compute the following probabilities. Do not use your calculator. Use the standard normal table in the appendix of your textbook. This will require you to show work (sometimes trivial) such as subtracting probabilities, subtracting a probability from 1, etc.

(a) P[ -.39 < Z < 1.69]

P[-0.39 < Z < 1.69] = P[Z < 1.69]-P[Z < -0.39]

P[-0.39 < Z < 1.69] = 0.95449-0.34827

P[-0.39 < Z < 1.69] = 0.60622

(b) P[Z ≥ 1.14]

P[Z ≥ 1.14] = 1-P[Z < 1.14]

P[Z ≥ 1.14] = 1-0.87286

P[Z ≥ 1.14] = 0.12714

c) P[Z < -1.42]

P[Z < -1.42] = 0.07780

d) P[1.27 < Z ≤ 1.38]

P[1.27 < Z ≤ 1.38] = P[Z ≤ 1.38]-P[Z < 1.27]

P[1.27 < Z ≤ 1.38] = 0.91621-0.89796

P[1.27 < Z ≤ 1.38] = 0.01825

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