In a village in China, the probability that a family has one child is 0.3, and the probability that a family has two chi

[answerhappygod]

In a village in China, the probability that a family has one
child is 0.3, and the probability that a family has two children is
0.4. No family can have more than two children.
(a) (2 points) Write down the sample space for the random
variable “the number of children in a family”.
(b) (4 points) Write down a probability model for the
random variable “the number of children in a family”.
(c) (4 points) Calculate the mean number of children in a
family.
(d) (4 points) Consider now a village that has 100
families. Describe the sample space for the random variable “the
number of children in the village”.
(e) (2 points) Briefly describe how would you go about
calculating the mean of this random variable from a probability
model.
(f) (4 points) Using the rules learned in class, calculate
the mean number of children in this village.