standard normal distribution table vs z score

Probability of getting a head on one toss of the coin after 2500 tosses of the coin?.

Probability of NOT getting a head or a tail on one toss of the coin?.

Probability of getting a head on one toss of the coin?.

Probability of getting a head or a tail on one toss of the coin?.Remember, simple probability is the number of desired outcomes divided by the number of possible outcomes. There is a 16.66% chance I'll roll a 5 on one independent roll of the die.How certain one is that a particular event will happen.Subjective interpretation of probability.This is the interpretation we typically use.

166, so if we roll the die 1000 times, we would expect to get a 5 roughly 166.6 times. The probability of rolling a 5 on a six-sided die is: p =.What you would expect to get, in the long run, if you were to repeat the experiment many times.Long-run relative-frequency interpretation.The number of possible successful or desirable outcomes divided by the number of all possible outcomes.p means the probability of the event is less than.If the event is certain to occur, then p = 1.If there is no chance the event will occur, then p = 0.Expressed as an italicized, lower-case p.The range of probabilities: Zero to One.The proportion of scores between any two Z-scores is the same as the probability of selecting a case between those two Z-scores.The numbers on the outside of the standard normal curve from the previous slide can be expressed as percentages or probabilities.

Memorize this image.burn it into your brain!! Z-scores along the bottom, probabilities around the top

Explanation: 2% of the scores are beyond 2 standard deviations below the mean, (+) 14% of the scores between 2 standard deviations below the mean and 1 standard deviation below the mean = 16% of the scores are below our Z-score of -1 a raw score with the Z-score of -1 is the 16th percentile.

Likewise, a Z-score of -1 which is one standard deviation below the mean would be expressed as the 16th percentile.

Explanation: 50% of the scores are below the mean, (+) 34% of the scores between the mean and a z-score of +1, (+) the other 14% of scores between a Z-score of +1 and a Z-score of +2 = 98% of the scores, or the 98th percentile.

This same location, when converted to a percentile would be the 98th percentile.

For instance, we know that a Z-score of +2 represents 2 standard deviations above the mean.

Remember, when finding a percentile rank, the area under the normal curve becomes ranked (from 1 to 100 percentiles).

Standard normal distribution table vs z score