1.a) An El Salvadorian pig farmer, Jose, had the idea to add a by-product from the production of cane sugar to his pig feed. The idea was that the pigs would eat more, gain weight, and be worth more at market time. He had 24 weaner pigs weighing from 20 to 40 pounds. He randomly divided the pigs into three groups of eight. He concocted three different feed types, each containing different levels of the cane sugar by-product (low, medium, and high sugar content). The farmer decided to record the pounds of feed consumed by each pig for 1 week. For this exercise, you must input thew following data: Save the data as: pig_farmer.sav. Variable name: Low-sugar diet; label: low_feed_consumed: 8.5, 8.0, 13.2, 6.8, 6.45, 6.0, 9.12, 9.75. Medium-sugar diet; medium_feed_consumed: 10.99, 10.5, 9.67, 8.61, 10.92, 12.8, 9.03, 9.45. High-sugar diet; high_feed_consumed: 10.39, 9.97, 13.78, 12.69, 12.8, 9.67, 9.98, 10.67.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
1.a) An El Salvadorian pig farmer, Jose, had the idea to add a by-product from the production of cane sugar to his pig feed. The idea was that the pigs would eat more, gain weight, and be worth more at market time. He had 24 weaner pigs weighing from 20 to 40 pounds. He randomly divided the pigs into three groups of eight. He concocted three different feed types, each containing different levels of the cane sugar by-product (low, medium, and high sugar content). The farmer decided to record the pounds of feed consumed by each pig for 1 week.
For this exercise, you must input thew following data:
Save the data as: pig_farmer.sav.
Variable name: Low-sugar diet; label: low_feed_consumed: 8.5, 8.0, 13.2, 6.8, 6.45, 6.0, 9.12, 9.75.
Medium-sugar diet; medium_feed_consumed: 10.99, 10.5, 9.67, 8.61, 10.92, 12.8, 9.03, 9.45.
High-sugar diet; high_feed_consumed: 10.39, 9.97, 13.78, 12.69, 12.8, 9.67, 9.98, 10.67.
a) Given this information, state the probability that a randomly selected individual from the population of mid-level bank managers would have a salary of at least $1,200?
b) What percentage of individuals would you expect to have salaries of at least $1,200?
Note: You can consult the normal curve table in Appendix B of this book or any statistics book and find that a z-score of 1.6.
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