At a college, 33% of all students are taking a course in solar design, 48% are taking a course in electronics, and 23% are taking a course in engine repair. Furthermore, 11% are taking electronics and engine repair, 11% are taking electronics and solar design, and 8% are taking engine repair and solar design. Finally, 4% are taking courses in solar design, electronics, and engine repair. A student is randomly chosen. Complete parts a) through d) below. a) Find the probability that the student is taking at least one course in electronics, engine repair, or solar design. Q First identify the probabilities in the Venn diagram to the right and write them in decimal form. Let event D = the event that a student is taking a course in solar design, let event E= the student is taking a course in electronics, and let R= the student is taking a course in engine repair. Also, let S be the sample space. ¹=.=.=.=.V=VI = VII. VIII- (Type integers or decimals. Simplify your answers.) The probability that the student is taking at least one course in electronics, engine repair, or solar design is (Simplify your answer.) b) Find the probability that the student is taking no courses in electronics, engine repair, or solar design. The probability is (Simplify your answer.) c) Find the probability that the student is taking courses in exactly one of the subjects. The probability is (Simplify your answer.) d) Find the odds against each event in parts a) through c) occurring. The odds against a student taking at least one course in electronics, engine repair, or solar design are: (Simplify your answers. Type whole numbers) The odds against a student taking no courses in electronics, engine repair, or solar design are: (Simplify your answers. Type whole numbers) The odds against a student taking exactly one of the subjects are: (Simplify your answers. Type whole numbers)
At a college, 33% of all students are taking a course in solar design, 48% are taking a course in electronics, and 23% are taking a course in engine repair. Furthermore, 11% are taking electronics and engine repair, 11% are taking electronics and solar design, and 8% are taking engine repair and solar design. Finally, 4% are taking courses in solar design, electronics, and engine repair. A student is randomly chosen. Complete parts a) through d) below. a) Find the probability that the student is taking at least one course in electronics, engine repair, or solar design. Q First identify the probabilities in the Venn diagram to the right and write them in decimal form. Let event D = the event that a student is taking a course in solar design, let event E= the student is taking a course in electronics, and let R= the student is taking a course in engine repair. Also, let S be the sample space. ¹=.=.=.=.V=VI = VII. VIII- (Type integers or decimals. Simplify your answers.) The probability that the student is taking at least one course in electronics, engine repair, or solar design is (Simplify your answer.) b) Find the probability that the student is taking no courses in electronics, engine repair, or solar design. The probability is (Simplify your answer.) c) Find the probability that the student is taking courses in exactly one of the subjects. The probability is (Simplify your answer.) d) Find the odds against each event in parts a) through c) occurring. The odds against a student taking at least one course in electronics, engine repair, or solar design are: (Simplify your answers. Type whole numbers) The odds against a student taking no courses in electronics, engine repair, or solar design are: (Simplify your answers. Type whole numbers) The odds against a student taking exactly one of the subjects are: (Simplify your answers. Type whole numbers)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:At a college, 33% of all students are taking a course in solar design, 48% are taking a course in electronics, and 23% are taking a course in engine repair. Furthermore, 11% are taking electronics and engine repair, 11% are taking electronics and solar design, and 8% are taking engine repair and solar design. Finally, 4% are
taking courses in solar design, electronics, and engine repair. A student is randomly chosen. Complete parts a) through d) below.
a) Find the probability that the student is taking at least one course in electronics, engine repair, or solar design.
Q
First identify the probabilities in the Venn diagram to the right and write them in decimal form. Let event D = the event that a student is taking a course in solar design, let event E= the student is taking a course in electronics, and let R = the student is taking a course in engine repair.
Also, let S be the sample space.
D
II
|| = , III = ₁¹V=₁V=₁V₁=₁ VII = VIII =
(Type integers or decimals. Simplify your answers.)
VII
R
The probability that the student is taking at least one course in electronics, engine repair, or solar design is
(Simplify your answer.)
b) Find the probability that the student is taking no courses in electronics, engine repair, or solar design.
The probability is
(Simplify your answer.)
c) Find the probability that the student is taking courses in exactly one of the subjects.
The probability is
(Simplify your answer.)
d) Find the odds against each event in parts a) through c) occurring.
The odds against a student taking at least one course in electronics, engine repair, or solar design are:
(Simplify your answers. Type whole numbers)
The odds against a student taking no courses in electronics, engine repair, or solar design are:
(Simplify your answers. Type whole numbers)
The odds against a student taking exactly one of the subjects are
(Simplify your answers. Type whole numbers)
IV
III
VIII
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