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ASAP HELP

. 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

ASAP HELP 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 r class=

Respuesta :

tornadoj03
the correct answer is E!
fichoh

The variance of the distribution is the sum of the product of the squared deviation and the corresponding probabilities. Hence, the variance of the distribution is 1.25

The variance of the distribution can be written as :

Var(X) = Σ[(squared deviation) × P(X)]

Var(X) = (6.25×0.05) + (2.25×0.15) + (0.25×0.25) + (0.25×0.35) + (2.25×0.25)

Var(X) = 0.3125 + 0.3375 + 0.0625 + 0.0875 + 0.45

Var(X) = 1.25

Therefore, the variance of the distribution is 1.25

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