The probability that an individual is left-handed is 0.16. In a class of 10 students, what is the mean and standard deviation of the number of left-handers in the class?
A)mean: 1.6; standard deviation: 1.16
B)mean: 10; standard deviation: 1.16
C)mean: 1.6; standard deviation: 1.26
D)mean: 10; standard deviation: 1.26

Question

Quizplus · Accepted Answer

The mean of left-handers in the class is calculated as the total number of students multiplied by the probability of being left-handed, which is $10 \times 0.16 = 1.6$. The standard deviation is calculated using the formula for the standard deviation of a binomial distribution, $\sqrt{n \times p \times (1-p)}$, which gives $\sqrt{10 \times 0.16 \times (1-0.16)} = 1.16$.

The Probability That an Individual Is Left-Handed Is 0