Binomial_distribution

# Binomial_distribution - Binomial distribution In a certain...

This preview shows pages 1–5. Sign up to view the full content.

Binomial distribution In a certain country the probability of having a female child is 0.48 What is the probability that a family with four children will have two daughters?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Binomial distribution F MM F M FF M M F M F MM FF F M F M FF MM The possible outcomes for a family of four children can be listed systematically: There are = 6 ways of arranging the four outcomes in a row. Remember : = 4! 2!2! 2 4 4! 2!2!
Binomial distribution Pr( FF MM ) = 0.48 × 0.48 × 0.52 × 0.52 Pr( F M F M ) = 0.48 × 0.52 × 0.48 × 0.52 Pr( F MM F ) = 0.48 × 0.52 × 0.52 × 0.48 Pr( M FF M ) = 0.52 × 0.48 × 0.48 × 0.52 Pr( M F M F ) = 0.52 × 0.48 × 0.52 × 0.48 Pr( MM FF ) = 0.52 × 0.52 × 0.48 × 0.48 Each of the 6 possible outcomes can be assigned probabilities: Therefore the probability of the family having two girls = × 0.48 × 0.48 × 0.52 × 0.52 = 0.3738 correct to four decimal places 2 4

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Binomial distribution In general the Binomial distribution can be applied when
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/12/2011 for the course MATH 2180 taught by Professor Staff during the Spring '11 term at North Texas.

### Page1 / 6

Binomial_distribution - Binomial distribution In a certain...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online