Answer to Question #169912 in Statistics and Probability for Rustom

Question

Using the sample in a family of four children, construct a probability distribution for the random variable Z representing the number of boys. Draw the histogram of the probability distribution

X 1 2 3 4 5 6 7

P(X = x) 0.26 0.34 0.16 0.14 0.07 0.02 0.01

Answer 1

There are 16 possible outcomes.

GGGG Z= 0

BGGG GBGG GGBG GGGB Z =1

BBGG GGBB GBBG BGGB GBGB BGBG Z=2

BBBG BBGB BGBB GBBB Z=3

BBBB Z = 4