Question

About 12% of individuals write with their left hands. If a class of 130 students meets in a classroom with 130 individual desks, and 14 of the students write with their left hands, the probability that not all left handed students will have access to a special desk, constructed for people who write with their left hands is _______

Answer 1

Answer:

0.1019

Step-by-step explanation:

Probability, p=12%=0.12

Sample size, n=130 students

Those writing with left=14 students

Using the formula for binomial distribution

P(X≤x)=$\left[\begin{array}{}n\\x\end{array}\right]p^{x}(1-p)^{n-x}$

Substituting 0.12 for p, 130 for n, 14 for x we obtain

P(X≤x)=$\left[\begin{array}{}130\\14\end{array}\right]0.12^{14}(1-0.12)^{130-14}$

P(X≤x)=$130C14*0.12^{14}(0.88)^{116}$

P(X≤x)=0.1019