Ask Question
1 July, 12:42

Given that z is a standard normal random variable, compute the following probabilities: a. P (z ≤ - 1) b. P (z >.95) c. P (z ≥ - 1.5) d. P (-.5 ≤ z ≤ 1.75) e. P (1 < z ≤ 3)

+1
Answers (1)
  1. 1 July, 13:37
    0
    Step-by-step explanation:

    Given that Z is a standard normal variate.

    We are to calculate the probabilities as given

    F (z) represents the cumulative probability i. e. P (Z
    a. P (z ≤ - 1)

    =F (-1)

    = 0.158655

    b. P (z >.95)

    = 1-F (0.95)

    = 0.1711

    c. P (z ≥ - 1.5)

    = 1-F (-1.5)

    = 0.9332

    d. P (-.5 ≤ z ≤ 1.75)

    =F (1.75) - F (-0.5)

    = 0.6514

    e. P (1 < z ≤ 3)

    =F (3) - F (1)

    =0.1573
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Given that z is a standard normal random variable, compute the following probabilities: a. P (z ≤ - 1) b. P (z >.95) c. P (z ≥ - 1.5) d. 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