Question

In: Statistics and Probability

Suppose 65% of households in America have no cats, 20% have one cat, and 15% have...

Suppose 65% of households in America have no cats, 20% have one cat, and 15% have exactly two cats.(For this question, we are assuming no one has more than two cats.) If we take a random sample of households in America, of size 20, what is the standard deviation of the corresponding sample, mean of the number of cats in each household? Round to TWO decimal places.

Expert Solution

Solution :

The probability distribution of number of cats is given below :

Number of cats (X)	P(x)
0	0.65
1	0.20
2	0.15

The standard deviation of the sample mean is given as follows :

Where, σ is population standard deviation and n is sample size.

Now,

And

We have, n = 20

Hence, the standard deviation of the corresponding sample, mean of the number of cats in each household is 0.17.

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orchestra answered 1 year ago

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