# Problems in Probability and Statistics

** Please see the attached file for the complete problem description **

1. Find the Expected Value, the Variance and the Standard Deviation

for the random variable with the following probability distribution:

(please see the attached file)

2. Calculate the following expressions with factorials:

a) 5! b) 6!/4!

3. Use Binomial Distribution to find the probability that you flip the coin 6 times and will obtain head exactly 4 times.

4. Use Appendix Tables for Binomial Distribution to find probability that with n = 10 and p = 0.2 x will be less than 3 (x = 0,1,2)

5. Use Appendix Tables for Binomial Distribution to find probability that with n = 7 and p = 0.1 x will be at least 1 (x ≥ 1).

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#### Solution Summary

In this solution we solve various problems in probability and statistics.