**Note: followed by one response each Group (week two, week three, week four, week five.) discussions**

**Assignment 2.1: Calculating Probability**

Please provide solutions to the following problems. Please use Excel to solve the problems and submit the Excel spreadsheet.

- A fair coin is tossed 15 times, calculate the probability of getting 0 heads or 15 heads
- A biased coin with probability of head being .6 is tossed 12 times. What is the probability that number of head would more than 4 but less than or equal to 10.
- You have a biased dice (with six faces numbered 1,2,3,4,5 and 6) in that odd numbers are thrice as likely as even numbers to show. You toss the dice 10 times. What is the probability that an even number would show up 5 times.
- If z has a standard normal distribution, calculate the following probability. P(-.3?z?10)
- If x has a normal distribution with mean 15 and standard deviation 2, calculate the following probabilities: P(1?x<15)

**Week Two Group Discussion**

**Prompt:**

You have a biased dice (with six faces numbered 1,2,3,4,5 and 6) in that even numbers are twice as likely as odd numbers to show. You toss the dice 15 times. What is the probability that

- An even number would show up 5 times?
- 1 would show up five times?
- Can it be formulated as a Binomial distribution for answering (a)? If so, how would you solve it?
- Can it be formulated as a Binomial distribution for answering (b)? If so, how would you solve it?

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