1)Cassandra's Cogs advertises on its website that 90% of customer orders are received within three working days. They performed an audit from a random sample of 100 of the 2,500 orders that month and it shows 85 orders were received on time.

Part A: Can we use a normal aproximation? Explain. (5 points)

Part B: If Cassandra's Cogs customers receive 90% of their orders within three working days, what is the probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less? (5 points)

2) Sofia's audio player has 15,000 songs. The play time for the songs is skewed to the right, with a mean of 255 seconds and a standard deviation of 30 seconds

Part A: Can you accurately calculate the probability that the mean play time is more than 260 seconds for an SRS of 15 songs? Explain. (4 points)

Part B: If you take a random sample of 40 songs instead of 15, explain how the Central Limit Theorem allows you to find the probability that the mean play time is

more than 260 seconds. Calculate this probability and show your work. (6 points)