a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal place.) Сх Cy %3D
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![Problem 14-12
Santa Cruz Bottling is a manufacturer of organic soft drinks on the coast of central California. Its products are enjoying
a growing reputation and increased demand throughout the American Southwest. Because of the high cost of
transporting soft drinks, they are considering a new plant to serve the states of New Mexico and Arizona. A key
concern in their search for a new location is the resultant transportation costs to serve their key markets. Following is a
list of cities where their main wholesale customers are located, along with estimated annual demand in cases of
product for each.
X-COORDINATES
285
385
y-COORDINATES
285
160
CITY
NUMBER OF CASES
ETTT
21,000
16,500
24,500
13,000
Phoenix
Tucson
Albuquerque
Santa Fe
835
485
520
885
a. Use the centroid method to recommend a location for the new bottling plant. (Round your answers to 1 decimal
place.)
Cx
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