6) Below are some subsets of R". For each subset, determine if it is a subspace. If it is not a subspace, explain WHY it is not a subspace. If it IS a subspace, prove it and find a basis and dimension for the subspace. a) W = {(x,y, z) | 2x + 3y – 4z = 0} b) V = {(x, y) | xy > 0} c) X = {(x, y, z) I xy = z} d) Z = {(a, b, c, d) | 2a + 3b = c – d}
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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Please answer a, b, c, and d
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