3 Punctuality Consider a population of 1000 students that arrive on time or late
ID: 3068082 • Letter: 3
Question
3 Punctuality Consider a population of 1000 students that arrive on time or late to class and the results regarding whether they pass or fail. These results are summarized in the table below. Answer the following questions Pass Fail Total On Time Late Total 700 30 730 70 200 270 770 230 1000 a) What is the probability that a randomly selected student passes? b) What is the probability that a randomly selected student fails? c) What is the probability that a randomly selected student both passed and arrived on time? d) What is the probability that a randomly selected student either passed or arrived on time?Explanation / Answer
a) Probability that the student passes = 730 / 1000 = 0.73
b) Probability that the student fails = 270/1000 = 0.27
c) Probability that arrived on time passed
= Number of students who arrived on time and passed / Total number of people
= 700/1000
= 0.7
d) Probability that the person either arrived on time or passed
= Probability that the person arrived on time +
Probability that the person passed - Probability that the person passed and arrived on time
= 0.73 + 0.77 - 0.7
= 0.8
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