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Probability and standard deviation calculations

1. 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?
Yes No
Why or Why not?

2.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?

Yes No

Which data points if any___________
If any, explain why and does this differ with your intuition?

Solution Preview

Hi there,

Thanks for letting me work on your post. Here is my explanation:

1. a. Since A and B are independent events,
the probability: 1/6. (only number 1 is less than ...

Solution Summary

The expert examines probability and standard deviation calculations. The outcome of the second roll is less than two given first rolls is determined.

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