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 a

Question 1120404: 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.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
score <20 use z=(x-mean)/sd, z< (20-24.1)/4.3 or -4.1/4.3
z <-.95, probability is 0.1711
more than 29 (29-24.1)/4.3
z> 4.9/4.3 or 1.14, probability is 0.1271
Between 20 and 29 is everything else or 0.7018.
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