Answer :
Considering the definition of probability, the probability that the student did not submit an sat score is 10.42%.
Definition of probability
The probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases and it is called Laplace's Law.
P(A)= number of favorable cases÷ total number of possible cases
Probability that the student did not submit an sat score
In this case, you know:
- Total number of students who entered as the class of 2009 = 480 (number of possible cases)
- Number of students who submitted SAT scores when they enrolled= 430
- Number of students who did not submitt SAT scores when they enrolled= 480 - 430= 50 (number of favorable cases)
Replacing in the definition of probability:
P(A)= 50÷ 480
Solving:
P(A)= 0.1042
Expressed as a percentage:
P(A)= 10.42%
Finally, the probability that the student did not submit an sat score is 10.42%.
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The probability that a randomly selected student from the class of 2009 did not submit an SAT score is approximately 10.42%.
If there were 480 students who entered as the class of 2009, and 430 of them submitted SAT scores, then the number of students who did not submit an SAT score is 480 - 430, which equals 50 students. To find the probability that a randomly selected student did not submit an SAT score, divide the number of students who did not submit an SAT score (50) by the total number of students (480).
The probability is calculated as follows:
Probability = Number of students who did not submit SAT scores / Total number of students
Probability = 50 / 480
Probability = 0.1042 (rounded to four decimal places)
So, the probability that a randomly selected student from the class of 2009 did not submit an SAT score is approximately 10.42%.
