Answer to Question #316391 in Statistics and Probability for Zen

Question

“BLUE PINK”

Situation: A maternity hospital located at the heart of the city is providing nursery kit items for expectant mother clients. The common colors of these items are either pink (for female babies) or blue (for male babies). The hospital management’s concern is the number of each colored item they have to prepare to meet the demands of their clients. On the basis of the previous years’ experience, the management estimates that the probability that any one mother will have a female baby and will be using pink items is .60.

Task: Determine the probability distribution by completing the table from 20 mothers, with    and .

Answer 1

$P(X=n)=C_{20}^{n}\cdot 0.6^n\cdot 0.4^{20-n}$