From a sample with nequals=20, the mean number of televisions per household is 4 with a standard deviation of 1 television. using chebychev's theorem, determine at least how many of the households have between 2 and 6 televisions.

There are atleast 15 households that have between 2 and 6 televisions.

Step-by-step explanation:

Since we have given that

n = 20

mean number of televisions per household = 4

Standard deviation = 1

we need to find the number of the households have between 2 and 6 television.

First we check the within numbers.

so, we can say that there are 2 television which is within numbers.

So, now, we will find the value of k:

Using the Chebychev's theorem, we get that

so, the number of the households would be

Hence, there are atleast 15 households that have between 2 and 6 televisions.

There are at least 15 households that have between 2 and 6 televisions and this can be determined by using Chebychev's Theorem.

Given :

From a sample with n equals 20, the mean number of televisions per household is 4 with a standard deviation of 1 television.

In order to determine the number of households that have between 2 and 6 televisions, first check:

So, from the above calculation, it can be said that there are 2 television which is within the numbers.

Now, the value of k is given by the formula:

k = 2

Now, using Chebychev's Theorem.

So, the total number of households is:

= 15

Therefore, there are at least 15 households that have between 2 and 6 televisions.

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