Question

Approximately 10% of all people are left-handed. Consider a grouping of eleven people.

State the random variable.

Select the histogram and describe the shape

Find the mean, variance and standard deviation

Answer 1

(1) Random variable is number of left handed people because we are given the percent of all people who are left handed.

(2) Histogram for binomial distribution with n = 11 and p = 10% = 10/100 = 0.10 is

Histogram shape is right skewed because the probability is less than 0.5. So, majority of data is located on left hand side.

(3) Calculation for mean, variance and standard deviation

Mean = n*p = 11*0.10 = 1.1

Variance = n*p*(1-p) = 11*0.10*(1-0.10) = 0.99

Standard deviation =