a) A company has five warehouses, only two of which have a particular product in stock. A salesperson calls the five warehouses in a random order until a warehouse with the product is reached. Let the ran- dom variable X be the number of calls made by the salesperson, and calculate its probability mass function and cumulative distribution function. b) Consider again the salesper- son discussed in above Problem who is trying to locate a par- ticular product. What is the ex- pected number of warehouses called by the salesperson?
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.
Consider again the salesperson discussed in previous Problems (given in picture) who is trying to locate a particular product. Calculate the variance and standard deviation of the number of warehouses called by the salesperson.
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