In a recent year, the ACT scores for high school students witha 3.50 to 4.00 gra

Question

In a recent year, the ACT scores for high school students witha 3.50 to 4.00 grade point average were normally distributed, witha mean of 24.2 and a standard deviation of 4.3. A student with a3.50 to 4.00 grade average who took the ACT during this time israndomly selected. a.) Need to find the probability that the student's ACT scoreis less than 17. b.) Need to find the probability that the student's ACT scoreis between 20 and 29. c.) Need to find the probability that the student's ACT scoreis more than 32. In a recent year, the ACT scores for high school students witha 3.50 to 4.00 grade point average were normally distributed, witha mean of 24.2 and a standard deviation of 4.3. A student with a3.50 to 4.00 grade average who took the ACT during this time israndomly selected. a.) Need to find the probability that the student's ACT scoreis less than 17. b.) Need to find the probability that the student's ACT scoreis between 20 and 29. c.) Need to find the probability that the student's ACT scoreis more than 32.

Explanation / Answer

Use a normal probability calculator to solve this problem: http://www.stat.tamu.edu/~west/applets/normaldemo.html Let X be the ACT score X~Normal(24.2, 4.32) a) P(X < 17) = 0.047 b) P(29>X>20) = P(X < 29) - P(X 32) = 0.0348 Hope this helps!

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.