Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. If a student who completed the test is chosen at random, a. Find the probability that the student earned fewer than 75 points. b. Find the probability that the student earned at least 70 points. c. Find the probability that the student earned between 80 and 90 points. d. Find the probability that the student earned either less than 80 points or more than 90 points.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Suppose the scores on a chemistry test were
a. Find the
b. Find the probability that the student earned at least 70 points.
c. Find the probability that the student earned between 80 and 90 points.
d. Find the probability that the student earned either less than 80 points or more than 90 points.
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