Ten percent of the population is left-handed. In a class of 100 students, write the binomial probability for the statement ?There are exactly 12 left-handed students in the class.?
A) $P ( x = 12 )$
B) $\mathrm { P } ( \mathrm { x } \geq 12 )$
C) $P ( x \leq 12 )$
D) $\mathrm { P } ( \mathrm { x } 12 )$

Question

Ten percent of the population is left-handed. In a class of 100 students, write the binomial probability for the statement ?There are exactly 12 left-handed students in the class.?
A) $P ( x = 12 )$
B) $\mathrm { P } ( \mathrm { x } \geq 12 )$
C) $P ( x \leq 12 )$
D) $\mathrm { P } ( \mathrm { x } > 12 )$

Quizplus · Accepted Answer

The binomial probability formula for exactly $x$ successes (in this case, left-handed students) out of $n$ trials (students in the class) with a success probability of $p$ (percentage of left-handed people in the population) is given by $P(x) = \binom{n}{x}p^x(1-p)^{n-x}$. The question asks for the probability of exactly 12 left-handed students, which directly corresponds to $P(x = 12)$.

Ten Percent of the Population Is Left-Handed P(x=12)P ( x = 12 )P(x=12)

Ten Percent of the Population Is Left-Handed $P ( x = 12 )$