Marks 5 - 7 8 - 10 11 - 13 14 - 16 17 - 19 20 - 22 Frequency 4 7 26 41 14 8 The table above shows the marks obtained by 100 pupils in a test. Find the proba...
The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.
Answer Details
To find the probability that a student picked at random scored at least 14 marks, we need to add the frequencies of the classes with marks 14-16, 17-19, and 20-22, since all of these classes correspond to scores of at least 14.
Adding the frequencies for these classes, we get: 41 + 14 + 8 = 63.
Therefore, out of the 100 students, 63 scored at least 14 marks.
To find the probability, we divide the number of students who scored at least 14 by the total number of students:
63/100 = 0.63
Therefore, the probability that a student picked at random scored at least 14 marks is 0.63.
Answer: 0.63