Each student in a class of 25 students wrote down a random digit. What is the predicted number of students who wrote a digit that is greater than 7?
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Since 8 and 9 are the only digits >7, 2/10 of students will probably chose these numbers.
To find the predicted number of students who wrote a digit greater than 7, we can use probability theory.
Step 1: Determine the probability of a student writing a digit greater than 7. In this case, the digits greater than 7 are 8 and 9. Since there are 10 possible digits (0 to 9), the probability of a student writing a digit greater than 7 is 2/10 or 1/5.
Step 2: Calculate the expected value by multiplying the probability by the total number of students.
Expected value = Probability * Total number of students
Expected value = (1/5) * 25
Therefore, the predicted number of students who wrote a digit greater than 7 is 5.