The average amount of money spent for lunch per person in the college cafeteria is $6.67 and the standard deviation is $2.92. Suppose that 44 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-NO b. What is the distribution of ? - N c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $6.85. d. For the group of 44 patrons, find the probability that the average lunch cost is between $6.32 and $6.85. e. For part d), is the assumption that the distribution is normal necessary? No Yes

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A: Sample proportion for each color can be calculated as follows:

A: Let's solve.

A: The pair of alternate interior angles are equal. Angle 1 is equal to angle 2: ∠1=∠2…

A: Given  12 + 22 + 32 + ⋅ ⋅ ⋅ + n2 = n(n+1)(2n+1)6Step 1   P(1) is true             P(1) = I2 = 1   ⇒…