Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100. What is the probability that a randomly selected college applicant will have a score greater than 640?
Chat with our AI personalities
3
z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.
They are said to be Normally distributed.
If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.
99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.