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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. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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. ..... 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. E II V | = I = III = IV = ,V = |, VI = VII = VIII = IV VI (Type integers or decimals. Simplify your answers.) VII R VIs 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
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. E II V | = I = III = IV = ,V = |, VI = VII = VIII = IV VI (Type integers or decimals. Simplify your answers.) VII R VIs 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
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