Part 1: The final exam scores in a history class were normally distributed with a mean of 63 and a standard deviation of 5.

Find the probability that a randomly selected student scored more than 65 on the exam.

Use Desmos. & round to four decimals.

Part 2: The final exam scores in a history class were normally distributed with a mean of 63 and a standard deviation of 5.

Find the probability that a randomly selected student scored less than 85,that is find P(X< 85).

Use Desmos & round to four decimals.

Part 3: The final exam scores in a history class were normally distributed with a mean of 63 and a standard deviation of 5.

Find the 90th percentile. That is, find the exam score such that 90% of all the scores fall below.

Use Desmos & round to one decimal. Use the Inverse Normal Calculator function in (hint: start with NormDist(63, 5).inverseCdf and then enter the area to the left of the score you need.)