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Solved: Doctorates Conferred The following probability
Chapter 4, Problem 26AYU(choose chapter or problem)
Doctorates Conferred The following probability model shows the distribution of doctoral degrees from U.S. universities in 2009 by area of study.
(a) Verify that this is a probability model.
(b) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science or life science? Interpret this probability.
(c) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science, life science, mathematics, or computer science? Interpret this probability.
(d) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 did not study mathematics? Interpret this probability.
(e) Are doctoral degrees in mathematics unusual? Does this result surprise you?
Questions & Answers
QUESTION:
Doctorates Conferred The following probability model shows the distribution of doctoral degrees from U.S. universities in 2009 by area of study.
(a) Verify that this is a probability model.
(b) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science or life science? Interpret this probability.
(c) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science, life science, mathematics, or computer science? Interpret this probability.
(d) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 did not study mathematics? Interpret this probability.
(e) Are doctoral degrees in mathematics unusual? Does this result surprise you?
ANSWER:Step 1 of 5
a).The given model is a probability model because,
1)All the probabilities are nonnegative and
2) the sum of the probabilities equal 1.
It holds the probability properties hence the given model is a probability model.