Ask Question
29 August, 18:27

In a certain normal distribution, 6.3% of the area lies to the left of 36 and 6.3% of the area lies to the right of 42. Find the mean and the standard deviation?

+1
Answers (1)
  1. 29 August, 22:02
    0
    As the normal distribution is symmetric the mean is (36 + 42) / 2 = 39

    p (X < 42) = 1 - 0.063 = 0.937

    From tables Φ (1.53) = 0.9370

    From this time:

    42 is 1.53 standard deviations above the mean

    42 = 39 + 1.53s

    1.53s = 3

    Standard deviation is = 1.96
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “In a certain normal distribution, 6.3% of the area lies to the left of 36 and 6.3% of the area lies to the right of 42. Find the mean and ...” 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