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For a certain dog breed, the number of puppies in a litter typically varies from 2 to 6. The following table shows the probability distribution of the random variable N, where N represents the number of puppies in a litter. Also shown are the squared deviations, or distances, from the expected value of 4.5 for the distribution.

What is the variance of the distribution?
a. 1.12
b. 1.25
c. 1.41
d. 1.58
e. 2.25

For a certain dog breed the number of puppies in a litter typically varies from 2 to 6 The following table shows the probability distribution of the random var class=

Respuesta :

Answer:

B

Step-by-step explanation:

1.25

The variance of the distribution is 1.25.

Given that,

  • For a certain dog breed, the number of puppies in a litter typically varies from 2 to 6.
  • The given table shows the probability distribution of the random variable N, where N represents the number of puppies in a litter.
  • Also shown are the squared deviations, or distances, from the expected value of 4.5 for the distribution.

Based on the above information, the calculation is as follows:

We know that

[tex]Var(X) = \Sigma [(squared deviation) \times P(X)][/tex]

[tex]= (6.25\times 0.05) + (2.25\times 0.15) + (0.25\times 0.25) + (0.25\times 0.35) + (2.25\times 0.25)[/tex]

= 0.3125 + 0.3375 + 0.0625 + 0.0875 + 0.45

 = 1.25

Therefore we can conclude that the variance of the distribution is 1.25.

Learn more: brainly.com/question/24169758

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