6) The same enthusiast performs the following experiment: they flip a coin twice and observe the results. After 120 trials, they record the relative frequency of each outcome, but in all the excitement, they lose their data for the tails-heads (TH) outcome. The enthusiast records the following relative frequency distribution, using the X as a placeholder. Outcome HH | HT |TH |TT | Relative Frequency 0.125 0.375 X 0.3 6.a) Determine X, the missing relative frequency for the TH outcome. 6.b) Find the frequency of each outcome. 6.c) Find the estimated probability of flipping HH or HT.
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.
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