In: Statistics and Probability
1. In a survey question where the response is to be YES or NO, past experience indicates that 32% of people will respond YES. If 10 people are surveyed, find the probability that exactly 5 people will respond YES.
2. Using the same situation as above, but past experience indicates that 60% will respond YES, find the probability that 8 or more people will respond YES.
3. If the average square footage of homes in a given neighbourhood is 2000 sq ft and the standard deviation is 200 sq ft, find the probability that a house chosen at random is between 2200 and 2400 sq ft. Draw a diagram of the normal distribution curve with the correct area shaded.