Question

In a 230-page comic book, the number of frames in which the main protagonist appears is observed to follow a normal distribution with a mean of 22 frames per page and a standard deviation of 4 frames per page. Which conclusion does this information best support?

1 Approximately 229 pages fall within the second standard deviation of the mean.

2 Approximately 218 pages fall within the third standard deviation of the mean.

3 Approximately 144 pages fall within the first standard deviation of the mean.

4 Approximately 115 pages fall within the first standard deviation of the mean

Answer 1

empirical rule: can you state it?

Answer 2

the formula that relates to the rule is also needed for a solution

Answer 3

68 95 and 99.7

Answer 4

thats the rule, in hindsight its not asking for percentages unless we wanted to actually take a percentage i spose

otherwise we could formula it

Answer 5

230(68%)
230(95%)
230(99%)

should give us the number of books within 1,2,or 3 sds

Answer 6

otherwise we do formula

mean +- z(sd) either way

Answer 7

So the formula would be set up like 22+-230(4).

Answer 8

i see a conversion coming up

we are given pages, and they are defined in frames per page

Answer 9

230pages (.68) = 156 or 157 pages
230pages (.95) = 218 or 219 pages

right? its not asking for frames per page,

Answer 10

im gonna say that the question is not worded very well.

Answer 11

I agree the wording is confusing to me.

Answer 12

n a 230-page comic book, the number of frames in which the main protagonist appears is observed to follow a normal distribution with a mean of 22 frames per page and a standard deviation of 4 frames per page. Which conclusion does this information best support?

22+2(4) = 30 frames within 1 sd of a mean of frames, this would equate to about

we would need to get to about 20/4 = 5, so 5/2 standard deviations to get even 1 page wihtin the range

Answer 13

you see the problem?

Answer 14

Honestly im pretty lost.

Answer 15

the problem is not clear, its ambiguous, the options dont match the information given.

they have either given extra useless information, or they simply have a bad question.

pick one and move on if you dont have your teacher available to correct it.

Answer 16

I think that's what ill do. Which do you think is the best choose?

Answer 17

none of them to be honest ... but if i were to pick one, id be option 3 is the closest to 230(.68)

other than that, i got nothing