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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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Let S be the event that a randomly selected college

Chapter 2, Problem 13E

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QUESTION:

Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose \(P(S)=0.4\), \(P(C)=0.3\), and \(P(S \cap C)=0.2\).

a. Find the probability that a student has taken statistics, chemistry, or both.

b. Find the probability that a student has taken neither statistics nor chemistry.

c. Find the probability that a student has taken statistics but not chemistry.

Equation Transcription:

Text Transcription:

P(S)=0.4

P(C)=0.3

P(S{cap}C)=0.2

Questions & Answers

QUESTION:

Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose \(P(S)=0.4\), \(P(C)=0.3\), and \(P(S \cap C)=0.2\).

a. Find the probability that a student has taken statistics, chemistry, or both.

b. Find the probability that a student has taken neither statistics nor chemistry.

c. Find the probability that a student has taken statistics but not chemistry.

Equation Transcription:

Text Transcription:

P(S)=0.4

P(C)=0.3

P(S{cap}C)=0.2

ANSWER:

Answer:

Step 1 of 4:

           Let ‘S’ be the event that a randomly selected college student has taken a statistic course.

           Let ‘C’ be the event that the same student has taken a chemistry course.

            Given the probabilities are 4,

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