Each child born to a particular set of parents has a probabi

Each child born to a particular set of parents has a probability 0.25 of having blood type O. If these parents have 3 children. Define the variable O to be the number of blood type O in the children.

a)Find the probability model (sample space and probability) for the variable.

Solution

Make a table for the pdf of the random variable X.

Then use the calculator to find the probabilities of all possible values of X, and complete the table. xi: probability: cum prob:

0------- 0.2373------ 0.2373

1------ 0.3955------ 0.6328

2------ 0.2637 ------ 0.8965

3 ------ 0.0879 ------ 0.984

4------  0.0146------ 0.9990

5------ 0.0010

[binompdf(5, .25)] 1 [binomcdf(5, .25)]