Tests by an independent auditing firm show that 70% of students in a certain school think that Algebra is the best course they have ever taken. Use the entire line of random numbers below to estimate the probability that a randomly selected group of five students will contain at least 4 Algebra lovers. Let the digits 1-7 represent a student who thinks that Algebra is the best course.

12024 55976 61475 70726 25408 62279 71874 03499 92659 26041

Convert your probability answer to a whole number representing a percent.

Question

Tests by an independent auditing firm show that 70% of students in a certain school think that Algebra is the best course they have ever taken. Use the entire line of random numbers below to estimate the probability that a randomly selected group of five students will contain at least 4 Algebra lovers. Let the digits 1-7 represent a student who thinks that Algebra is the best course.

12024 55976 61475 70726 25408 62279 71874 03499 92659 26041

Convert your probability answer to a whole number representing a percent.

anonymous · Answer

So you're trying to find the probability that a group of numbers will contain at least four numbers between 1 and 7:

12024  Yes
55976  Yes
61475  Yes
70726  Yes
25408  Yes
62279  Yes
71874  Yes
03499  No
92659  No
26041  Yes

So 8 out of the 10 groups satisfy this condition. 8/10=4/5 chance

anonymous · Answer

Oh you wanted percent... 4/5=80%

anonymous · Answer

Thank you!! I don't want to sound rude, but I need to know FOR SURE this answer and someone else told me it was 50%. Can anyone else help with this question just to be sure? THANKS!

anonymous · Answer

Oh no problem, I've made stupid mistakes in the past so I won't doubt it ^^

anonymous · Answer

@skinny23 @luisloco25 @amistre64 @jim_thompson5910 @nathan917 @numb3r1

anonymous · Answer

PLEASE HELP!

anonymous · Answer

@amistre64 @amistre64 @amistre64 I need you!

amistre64 · Answer

the mean of the means

amistre64 · Answer

lets trim the number, we know each sample is size is 5, to lets see what the ratio are for 1-7

1224 5576 61475 7726 254  6227 7174   34   265   2641
4/5     4/5    5/5    4/5    3/5   4/5    4/5   2/5   3/5    4/5

what is the mean of these proportions?

amistre64 · Answer

the mean proportion of the samples is 74/100

anonymous · Answer

Oh right, I forgot 0's don't count ^^ Good thing you got a smart person in here to help =P

amistre64 · Answer

contain at least 4 Algebra lovers .... yeah, i didnt see that at first :)

so out of the 10 samples, we have 7 that 4 or 5

7/10 = 70%

amistre64 · Answer

im not sure if there is more to this, like making a confidence interval, and comparing the sample mean with the other stuff .....

anonymous · Answer

Let's not go there... This seems like strictly Algebra ^^

amistre64 · Answer

:)  no field and ring theory?  darn

anonymous · Answer

And I was getting so excited too! (sarcasm)

anonymous · Answer

70%