Ask Question
15 September, 23:21

For a standard normal distribution, which of the following expressions must always be equal to 1?

A) P (z≤-a) - P (-a≤z≤a) + P (z≥a)

B) P (z≤-a) - P (-a≤z≤a) + P (z≥a)

C) P (z≤-a) + P (-a≤z≤a) - P (z≥a)

D) P (z≤-a) + P (-a≤z≤a) + P (Z≥a)

+5
Answers (1)
  1. 16 September, 03:10
    0
    P (z ≤ - a) + P (-a ≤ z ≤ a) + P (z ≥ a) = 1 - P (z ≤ a) + [P (z ≤ a) - P (z ≤ - a) ] + 1 - P (z ≤ a) = 2 - 2P (z ≤ a) + P (z ≤ a) - [1 - P (z ≤ a) ] = 2 - P (z ≤ a) - 1 + P (z ≤ a) = 1

    Therefore, option D is the correct answer.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “For a standard normal distribution, which of the following expressions must always be equal to 1? A) P (z≤-a) - P (-a≤z≤a) + P (z≥a) B) P ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers