SOLUTION: 8. In a recent year, the ACT scores for high school students with a 3.50 to 4.00 GPA were normally distributed, with a mean of 24.1 and a standard deviation of 4.3. A student with
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-> SOLUTION: 8. In a recent year, the ACT scores for high school students with a 3.50 to 4.00 GPA were normally distributed, with a mean of 24.1 and a standard deviation of 4.3. A student with
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Question 1120866: 8. In a recent year, the ACT scores for high school students with a 3.50 to 4.00 GPA were normally distributed, with a mean of 24.1 and a standard deviation of 4.3. A student with a 3.50 to 4.00 GPA who took the ACT during this time is randomly selected.
a) Find the probability that the student’s ACT score is less than 20.
b) Find the probability that the student’s ACT score is between 20 and 29.
c) Find the probability that the student’s ACT score is more than 29.
You can put this solution on YOUR website! Find z-values for each, where z=(x-mean)/sd
a. z<= (20-24.1)/4.3=-0.95 which has probability of 0.1711
b. z is between -0.95 and (29-24.1)/4.3 or +1.14. Probability is 0.7018
c. Z>+1.14 with probability of 0.1271.
