An upper-level math course is open to both undergraduate students and graduate students. The table below gives the performance of the two level of students in the class last semester on the final exam. Score, S, on Final Exam S< 70 70 sS< 80 80 s S< 90 90 s Ss 100 Total Undergraduate 16 14 17 3. 50 Graduate 4 10 19 7. 40 Total 20 24 36 10 90 Find the probability that a graduate student scored 90 or above. Give the probability as a decimal. If rounding, give to 4 decimal places. The probability is
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.
General formula of probability is ,
The table below gives score on final exam ,
We have to find probability that a graduate student scored 90 or above.
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