Psychology-231 can be taken as an online course on a pass/fail basis. Long experience with this course shows that about 71% of the students pass. This semester, 88 students are taking Psychology-231 online.

1. Calculate np and n(1 p). Do not round your answers.

2. How do you know that the conditions for the normal approximation to the binomial met? The values for np and n(1 p) are greater / less than or equal to number ____ ?

3. You want to find the probability that 55 or more students are taking PSY 231 Online. If the original X = 55, what is the new value of X after the continuity correction is applied?

4. Find the mean of the distribution. Do not round.

5. Find the standard deviation of the distribution. Round to 3 decimal places as needed.

6. Find the z-score for the new value of X. Round to 2 decimal places as needed.

7. Find the probability that 55 or more students are taking PSY 231 Online. Give the answer as a decimal to 4 decimal places.

Thank you!