Answer:
The correct answer to the following question will be "0.438".
Step-by-step explanation:
Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.
Although each student becomes independent of one another, we may conclude:
"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40
Given:
Number of surveys
= 12
Exactly 4 students have taken chemistry:
[tex]=P(X\leq4)[/tex]
[tex]=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)[/tex]
[tex]=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}[/tex]
On substituting the above equation, we get the probability of approximately "0.438".
So that the above would be the appropriate answer.
