Question

It is estimated that 30% of households own a riding lawn mower. A sample of 17 households is studied. What is the standard deviation of households who own a riding mower. Round to the nearest hundreths. (Hint: Binomial)

Answer 1

1.89 is the standard deviation of households who own a riding mower

Explanation:

Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3

The standard deviation of X;

`√(n*p*(1-p))`

`√(17*0.3*(1-0.3)) =1.89`