Chapter 6. Suppose we have a non-neutral coin and when we flip it 105 times (n = 105) we note that it only comes up heads 40% (p = 0.4) of the time. The mean and standard deviation for the number of times the coin lands on heads is = 42 and = 5. (we've rounded the standard deviation a little bit, so feel free to use the number 5 instead of the exact 5.02). Solve the following (unless specified, round to two decimal spaces). HINT: This is a direct application of the principle of the Normal Distribution:

1. There is about a 68% chance that the number of heads will be somewhere between and .
2. There is about a % chance that the number of heads will be somewhere between 32 and 52.
3. There is about a % chance that the number of heads will be somewhere between 27 and 57.