Problem 1 A particular language certificate is earned after taking three annual exams (type I, II, and III). Candidates who pass an exam are eligible to take the exam for the next level in the following exam session. The pass rates for levels 1, II, and III are 0.56, 0.71, and 0.82, respectively. Suppose that 3,000 candidates take the level I exam, 2,475 take the level II exam and 2,025 take the level III exam. Find the probability that: a) a randomly selected candidate passes the exam; c) a randomly selected candidate who passed the exam took one of type I; d) a randomly selected candidate who did not pass the exam took one of type II;

MATLAB: An Introduction with Applications
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Problem 1
A particular language certificate is earned after taking three annual exams (type I, II, and III).
Candidates who pass an exam are eligible to take the exam for the next level in the following exam
session. The pass rates for levels 1, II, and III are 0.56, 0.71, and 0.82, respectively. Suppose that
3,000 candidates take the level I exam, 2,475 take the level II examn and 2,025 take the level III exam.
Find the probability that:
a) a randomly selected candidate passes the exam;
c) a randomly selected candidate who passed the exam took one of type I;
d) a randomly selected candidate who did not pass the exam took one of type II;
Transcribed Image Text:Problem 1 A particular language certificate is earned after taking three annual exams (type I, II, and III). Candidates who pass an exam are eligible to take the exam for the next level in the following exam session. The pass rates for levels 1, II, and III are 0.56, 0.71, and 0.82, respectively. Suppose that 3,000 candidates take the level I exam, 2,475 take the level II examn and 2,025 take the level III exam. Find the probability that: a) a randomly selected candidate passes the exam; c) a randomly selected candidate who passed the exam took one of type I; d) a randomly selected candidate who did not pass the exam took one of type II;
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