The score distribution shown in the table is for all students who took a yearly
ID: 3264722 • Letter: T
Question
The score distribution shown in the table is for all students who took a yearly AP statistics exam. An AP statistics teacher had 44 students preparing to take the AP exam. Though they were obviously not a random sample, he considered his students to be "typical of all the national students. What's the probability that his students will achieve an average score of at least 3? The probabability that his students will achieve an average score of at least 3 is Round to four decimal places as needed)Explanation / Answer
The total number of students = 44
To find a probability that his students would score at least 3, we need to find the total % of students who scored 3,4 and 5.
The % of students who scored 3,4 and 5 is 24.9+21.3+13.5 = 59.7%
Therefore the required probability 59.7/100 = 0.597
(We could have converted the % to the number of students and then divided by 44, the answer would be the same. The number of students who had 3,4 and 5 =( 59.7*44/100) = 26.268. Then the required probability = 26.268/44 = 0.597.)