The average amount of money spent for lunch per person in the college cafeteria is $6.77 and the standard deviation is $2.51. 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
b. What is the distribution of ? - Nd
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between
$6.9291 and $7.3228.
d. For the group of 42 patrons, find the probability that the average lunch cost is between $6.9291 and
$7.3228.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
Hint:
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i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

98%

step-by-step explanation: