The average amount of money spent for lunch per person in the college cafeteria is $6.49 and the standard deviation is $2. Suppose that 11 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible.

1. What is the distribution of X? X ~ N=
2. What is the distribution of X^-? X^-~ N=
3. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.8255 and $6.387=
4. For the group of 11 patrons, find the probability that the average lunch cost is between $5.8255 and $6.387=
5. For part d), is the assumption that the distribution is normal necessary? No Yes