Doctorate Degrees According to the National Science Foundation, in 2016 there was a 17.2% probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2016 U.S. doctoral recipient is randomly selected, what is the probability that his or her degree was not in engineering?
Doctorate Degrees According to the National Science Foundation, in 2016 there was a 17.2% probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2016 U.S. doctoral recipient is randomly selected, what is the probability that his or her degree was not in engineering?
Solution Summary: The author calculates the probability that a U.S. doctoral recipient's degree was not in engineering.
Doctorate Degrees According to the National Science Foundation, in 2016 there was a 17.2% probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2016 U.S. doctoral recipient is randomly selected, what is the probability that his or her degree was not in engineering?
Expert Solution & Answer
To determine
To calculate: The probability that a U.S.doctoral recipient‘s degree was not in engineering when there was a 17.2% probability that a doctoral degree awarded at a US university was awarded in engineering.
Answer to Problem 54AYU
Solution:
The probability that a U.S. doctoral recipient’s degree was not in engineering is 0.828.
Explanation of Solution
Given information:
According to the National Science Foundation in 2016 there was a 17.2% probability that a doctoral degree awarded at a US university was awarded in engineering.
Formula used:
If E represents any event and E¯ represents the complement of event E, then the probability of complement event will be,
P(E¯)=1−P(E)
Calculation:
Let, event E denotea doctoral degree awarded at a U.S. university was awarded in engineering.
And, event E¯ denotes a doctoral degree awarded at a U.S. university was not awarded in engineering.
Since, 17.2% probability that a doctoral degree awarded at a US university was awarded in engineering, so P(E)=17.2%=0.172.
Using the formula for probability of complement of an event, P(E¯)=1−P(E).
⇒P(E¯)=1−0.172
⇒P(E¯)=0.828
Therefore, the probability thata U.S. doctoral recipient‘s degree was not in engineering is 0.828.
Thomas' Calculus: Early Transcendentals (14th Edition)
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