Answer:
89.16
30 students will be given an A on the test
Step-by-step explanation:
Let me remind you that even the accident followed by the normal when the main standard deviation. And if we tend to actually manage the main under standard deviation, we obtain the standard no more. In this question here we have the death scars actually followed by the normal when the mean equal to The 76 and the standard deviation equal to eight. Now we will have the top 5% of the student will be given an a. And once you find the scar that will separate that to get the a. There, it means no one to find the probability actually acquainted and somebody I don't know. It's just that this one will take up to the 5% only, which is equal to 0.05. Now, to find the volume. That we need to convert the X into the Z. By applying the formula. Yeah. So I will need to take the reminded the mean Dividing by the standard deviation and the coordinates of .05. The next time we need to convert the 0105 in June the farm on the probability. And to do it, I need to bring up the Z. Table and then put it on the right here. Now the table I bring here and has the negative G scar when the probability on the left town. So we need to look for the probability of 0.5 inside the table. So that 105. It will be between the two values here. So if we correspond to the disk are on the -1.6 between four and five. So we turned the average between four and five. So it will be 0.5. Can be written. There is a probability that is smaller than because it is a probability on the left town minus 1.6 45. Look at the juice size, they're not compatible yet. Therefore by the symmetry we can turn it on into the probability that Z is greater than 1.645. Now we can march This quantity here Echo, Echo. To this quantity kind of our a -76 of eight equal to 1.645. It was. So for the american negro, jew eight times 1.6 45 plus 76 equal to the 89.16. And this will be there value. Don't give us the eye. And that's gonna be the answer for this question.
