Binomial_distribution

Binomial_distribution - Binomial distribution In a certain...

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

View Full Document Right Arrow Icon
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?
Background image of page 1

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

View Full DocumentRight Arrow Icon
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!
Background image of page 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
Background image of page 3

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

View Full DocumentRight Arrow Icon
Binomial distribution In general the Binomial distribution can be applied when
Background image of page 4
Image of page 5
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 Right Arrow Icon
Ask a homework question - tutors are online