1. (10 pts) Two common types of errors in computer programs are syntax errors an

Question

1. (10 pts) Two common types of errors in computer programs are syntax errors and logic errors. For a particular programming exercise in an introductory programming course, the instructor knows that 25% of students have syntax errors in their first try at writing the code, 34% have logic errors, and 58% have neither type of error. For the following questions, use good notation and show your work. a) (3 pts) What proportion of students have at least one kind oferror? b) (4 pts) What proportion of students have both kinds of error? c) (3 pts) Given that a student has at least one kind of error, what is the conditional probability that he/she has both kinds of errors?

Explanation / Answer

a) P( at least one error )= 1-0.58 = 0.42

b) P( Both error ) = 0.25+0.34-0.42 = 0.17

c) P( both error /at least one error ) = 0.17/0.42 = 0.4048

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