Question

omplete parts​ (a) and​ (b) below. The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Probability 0.649 0.217 0.086 0.024 0.016 0.009 ​(a) Find the​ mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution.

Answer 1

Solution :

From given probability distribution,

Mean = = X * P(X)

= 0 * 0.649 + 1 * 0.217 + 2 * 0.086 + 3 * 0.024 + 4 * 0.016 + 5 * 0.009 = 0.57

variance

= X ² * P(X) - ²

=  0 * 0.649 + 1 * 0.217 + 2² * 0.086 + 3² * 0.024 + 4² * 0.016 + 5² * 0.009 - 0.57²

=  2.7651

standard deviation = 1.663