Discuss the following:
Q1. A fair die is rolled 2 times. Let A be the event that the outcome of the first roll is an even number. Let B be the event that the outcome of the second roll be less than 2.
a. What is the probability that the outcome of the second roll is less than 2 given that the first roll is an even number?
b. Are A and B independent of each other?
Why or Why not?
Q2.A random sample of song playing times in seconds is as follows:
231, 220, 213, 230, 293 ( Use this data to answer questions a and b)
a.Find the standard deviation for the given data. ___________
b.Are any of these playing times considered unusual in the sense of our textbook?
Which data points if any___________
If any, explain why and does this differ with your intuition?