Maggie is a social worker. For the last 225 days she has recorded her client caseload per day. The results are in the accompanying table. In this problem x is the number of clients Maggie sees per day and the frequency is the number of days on which she sees x clients. (show all work) 3 4 5 Frequency 4 12 25 54 55 75
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.
Find the
Find the probability that Maggie will see no more than 1 client per day (round four decimal place).
Construct a probability histogram for this distribution.
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