Us Question 2 les [ 0.71/1 pt 9 2 99 Score on last try: 0.71 of 1 pts. See Details for more. oom > Next question Get a similar question |You can retry this question below The average amount of money spent for lunch per person in the college cafeteria is $7.41 and the standard deviation is $2.42. Suppose that 42 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. What is the distribution of X? X ~ N( 7.41 2.42 b. What is the distribution of ? ~ ~ N( 7.41 0.3734 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost Is between $6.9699 and $7.2566. d. For the group of 42 patrons, find the probability that the average lunch cost is between $6.9699 and $7.2566. -0.2219 e. For part d), is the assumption that the distribution is normal necessary? O YesO No