A2017 poll found that 51% of college students were very confident that their major will lead to a good job. if 15 college students are chosen at random, what's the probability that 11 of them are not confident that their major would lead to a good job? let a success be a college student not being confident their major would lead to a good job.

3.61%

Step-by-step explanation:

This situation can be modeled with the Binomial Distribution which computes the likelihood of an event “success” that occurs exactly k times out of n, and is given by

where  

= combination of n elements taken k at a time.

p = probability that the event (“success”) occurs once

q = 1-p

In this case, we define “success” as a college student not being confident that their major would lead to a good job.

Then  

p = 49% = 0.49

q = 51% = 0.51

“If 15 college students are chosen at random, what's the probability that 11 of them are NOT confident that their major would lead to a good job?”

Here we are looking for P(11;15)

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)