At a college, 29% of all students are taking a course in solar design, 43% are taking a course in electronics, and 18% are taking a course in engine repair. Furthermore, 8% are taking electronics and engine repair, 7% are taking electronics and solar design, and 5% are taking engine repair and solar design. Finally, 1% 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. II III 1=, I| =], = O, IV =D, v =D, vI=], VII =D, VIII | V IV VI (Type integers or decimals. Simplify your answers.) VII R VIII 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
At a college, 29% of all students are taking a course in solar design, 43% are taking a course in electronics, and 18% are taking a course in engine repair. Furthermore, 8% are taking electronics and engine repair, 7% are taking electronics and solar design, and 5% are taking engine repair and solar design. Finally, 1% 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. II III 1=, I| =], = O, IV =D, v =D, vI=], VII =D, VIII | V IV VI (Type integers or decimals. Simplify your answers.) VII R VIII 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![At a college, 29% of all students are taking a course in solar design, 43% are taking a course in electronics, and 18% are taking a course in engine repair. Furthermore, 8% are taking electronics and engine repair, 7% are taking electronics and solar design, and 5% are taking engine repair and solar design. Finally, 1% are taking courses in solar design, electronics, and engine repair. A student is randomly chosen. Complete parts a) through d) below.
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a) Find the probability that the student is taking at least one course in electronics, engine repair, or solar design.
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.
I = [ ], II = [ ], III = [ ], IV = [ ], 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 [ ] : [ ].
---
**Diagram Explanation:**
The diagram is a Venn diagram with three intersecting circles labeled D (Solar Design), E (Electronics), and R (Engine Repair). The regions are numbered with Roman numerals I through VIII, representing different intersections of courses:
- I: Only Solar Design
- II: Solar Design and Electronics
- III: Only Electronics
- IV: Solar Design and Engine Repair
- V: All three courses
- VI: Electronics and Engine Repair
- VII: Only Engine Repair
- VIII: Taking none of the courses
Each section needs](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6d3e995-1d49-4d64-8a29-c93485532523%2Fee30baed-a6a7-4436-8489-e148abaeac12%2Fhdk43dv_processed.png&w=3840&q=75)
Transcribed Image Text:At a college, 29% of all students are taking a course in solar design, 43% are taking a course in electronics, and 18% are taking a course in engine repair. Furthermore, 8% are taking electronics and engine repair, 7% are taking electronics and solar design, and 5% are taking engine repair and solar design. Finally, 1% 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.
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.
I = [ ], II = [ ], III = [ ], IV = [ ], 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 [ ] : [ ].
---
**Diagram Explanation:**
The diagram is a Venn diagram with three intersecting circles labeled D (Solar Design), E (Electronics), and R (Engine Repair). The regions are numbered with Roman numerals I through VIII, representing different intersections of courses:
- I: Only Solar Design
- II: Solar Design and Electronics
- III: Only Electronics
- IV: Solar Design and Engine Repair
- V: All three courses
- VI: Electronics and Engine Repair
- VII: Only Engine Repair
- VIII: Taking none of the courses
Each section needs
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