Cises 279 Using the data in the table construct an empirical discrete bivariate probability dis- tribution forx = number of snack items and y = number of reading materials for a randomly selected customer purchase. What is the probability of a customer purchase consisting of one item of reading materials and two snack items? What is the prob- ability of a customer purchasing one snack item only? Why is the probability f(x= 0, y = 0) = 0? Show the marginal probability distribution for the number of snack items purchased. Compute the expected value and variance. What is the expected value and variance for the number of reading materials purchased by a customer? a. %3D %3D Show the probability distribution for t= total number of items for a randomly selected customer purchase. Compute its expected value and variance. Compute the covariance and correlation coefficient between x and y. What is the relationship, if any, between the number of reading materials and number of snacks purchased?

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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.