The average amount of money spent for lunch per person in the college cafeteria is $7.42 and the standard deviation is $2.58. Suppose that 8 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
a) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.4717 and $9.0778. _______
b) For the group of 8 patrons, find the probability that the average lunch cost is between $8.4717 and $9.0778. _______
a) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $8.4717 and $9.0778. _______
b) For the group of 8 patrons, find the probability that the average lunch cost is between $8.4717 and $9.0778. _______