Size Here
How do I find the approximate probability here without knowing the size of the sample?
Scores of secondary school graduates to Review Act of 2003 was 20.8 and mean = standard deviation = 4.8. The distribution of results is only approximately normal. A.) What is the approximate probability that one student chosen at random from all those who take the test scores 23 or higher? How can I get this answer without know the number of students who passed the test?
Scores that high school is represented by the letter "X" This score is normally distributed with μ = 20.8 σ = 4.8 and A is the event "one student chosen at random from all those who take the test score of 23 or more "I think you know this formula (for a Normal distribution): p {X> a} = 1 / 2 – Φ ((a – μ) / σ) (Φ is the Laplace function) Use this formula to an event like this: P (A) = P {X> 22} = 1 / 2 – Φ ((22 – 20.8) / 4.8) = 1 / 2 – Φ (0.25) Using the table values of the Laplace function, you can determine Φ (0.25) easily, in this case is 0.09871 So P (A) = 0.5 to 0.09871 = 0.4013
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