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Lesson_04_Prob_Situations

# Lesson_04_Prob_Situations - 2 and the cumulative...

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Situation I: Find P(X ≤ x) 1. Convert x to z-score by z = (x – mean)/SD 2. Now find cumulative probability P(Z ≤ z) using either the table or Minitab 3. This cumulative probability is the answer Situation II: Find P(X ≥ x) 1. Convert x to z-score by z = (x – mean)/SD 2. Now find cumulative probability P(Z ≤ z) using either the table or Minitab 3. Subtract this cumulative probability from 1. Situation III: Find P(x 1 ≤ X ≤ x 2 ) 1. Convert each x to a z-score by z = (x – mean)/SD 2. Now we want to find P(z 1 ≤ Z ≤ z 2 ) 3. Find the cumulative probability for z
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Unformatted text preview: 2 and the cumulative probability for z 1 4. Take the difference between these two cumulative probabilities Situation IIII: Find P(X ≤ x 1 ) or P(X ≥ x 2 ) 1. Convert each x to a z-score by z = (x – mean)/SD 2. Now we want to find P(Z ≤ z 1 ) or P(Z≥ z 2 ) 3. Find the cumulative probability for z 1 and the cumulative probability for z 2 4. Take 1 minus the cumulative probability for z 2 5. Add the cumulative probability for z 1 to the probability found in Step 4. 6. Note that this is a combination of Situations I and II....
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