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In the US, 21% of households use a clothesline to dry their laundry. Capucine would like to survey
households that use a clothesline, so she plans to contact randomly selected US households until she finds
ones that use one. Let F be the number of households Capucine contacts to reach the first household that
uses a clothesline.
Find the mean and standard deviation of F.
Round your answer

Respuesta :

Answer:

mean=4.8

standard deviation=4.2

Step-by-step explanation:

The mean is 4.8, and the standard deviation is 4.2 if the 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

Let's suppose the x is the number of household to get the first that uses a clothesline

And p is the probability of household uses' clothesline

X ~ Geo (p = 0.21)

Mean = 1/p

Mean = 4.76 ≈ 4.8

Variance = q/p²

q = 1-p

Variance = 17.9138

Standard deviation = √Variance

Standard deviation = 4.23 ≈ 4.2

Thus, the mean is 4.8, and the standard deviation is 4.2 if the 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline

Learn more about the standard deviation here:

brainly.com/question/12402189

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