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NemiM [27]
1 year ago
7

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

ent. What is the probability that all five households will have pets?
Mathematics
1 answer:
Alexandra [31]1 year ago
6 0

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 5C_{5}(0.55)^{5} (1-0.55)^{0}

=1(0.0503)(0.45)^{0}

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

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\sum_{i=1}^n x_i = 334

\sum_{i=1}^n y_i =611

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With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6

And the slope would be:

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Nowe we can find the means for x and y like this:

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Step-by-step explanation:

The data given on this case is:

x: 14,12,20,16,46,23,48,50,55,50

y: 24,24,28,30,80,30,90,85,120,110

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 334

\sum_{i=1}^n y_i =611

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m=\frac{6176.6}{2814.4}=2.195

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4

\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1

And we can find the intercept using this:

b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213

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