A study on aggressive driving found that 51 % of drivers say that they have yelled at another driver. A random sample of 240drivers in Halifax is selected and are asked whether they have yelled at other drivers.

1. What is the distribution of the number of sampled drivers who will say "yes", they have yelled at another driver? State only the name of the distribution.

2. What are the mean and standard deviation of the number of sampled drivers who will say "yes"?

The mean:

The standard deviation (Round to three decimals):

3. What is the probability that at least 115 drivers will say "yes", they have yelled at another driver? [Hint: use normal approximation]

4. What is the probability that at most 113 drivers will say "yes", they have yelled at another driver? [Hint: use normal approximation]

5. Use the normal approximation to calculate the probability that there will be exactly 113 sampled drivers who will say yes. [Hint: use normal approximation]