Aband selects 404040 ticket-holders at random from each concert to win t-shirts. the band knows that 55\%55%55, percent of the ticket-holders buy their tickets at least a month before the concert. suppose the band calculated the proportion \hat p
p
^
of winners from each concert who bought their tickets at least a month before the concert.
which of the following distributions is the best approximation of the sampling distribution of \hat p
p
^
?
each distribution uses the same scale.
choose 1
choose 1

(choice a, checked)
a

(choice b)
b

(choice c)
c

(choice d)
d

They would be normally distributed.

Step-by-step explanation:

Because there are more than 30 samples, the distribution would closely resemble the normal distribution.

40 ticketholders are winning the contest. 40 ≥ 30. This is enough to make the distribution approximately normal.

it's both, now can you answer my most recent question?

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.