Assuming a normal distribution, what is the z-score associated with the 1st quar

Question

Assuming a normal distribution, what is the z-score associated with the 1st quartile? 2nd quartile? 3rd quartile? Find the standard z-score such that 80% of the distribution is below (to the left of) this value. Find the standard z-score such that the area to the right of this value is 0.15. Find the two z-scores that bound the middle 50% of a normal distribution. Find the z-score for the 33rd percentile of the standard normal distribution. Find the z-scores that bound the middle 40% of the standard normal distribution. Given x = 58, mu = 43, and standarddeviation = 5.2, find z. Given that x is a normally distributed random variable with a mean of 60 and a standard deviation of 10, find the following probabilities. a. P(x > 60) b. P(60

Explanation / Answer

{z} is given by z = (x-mu)/sigma

   =58-43/5.2

   =15/5.2

   =2.884615

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