Question

The accompanying table describes results from groups of births from 8 different sets of parents. The random variable x represents the number of gits among 8 chadren. Complete parts (a) through it below Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births (Type an integer or a decimal. Do not round.)

Answer 1

Solution: Let X: The oumbers of gis is among 8 children. Let a probability of girls. we know that birth of an individual is either a boy or a girls : Therefore probability of boy or a girl is a.s. O.so شما Sample size or8 Here a = 8, Xo Binomial C PE0-50 0:30) 35170,1,2,-- We know that if Xo Binomicil (oup) then its pof is given as p(xxx) (-) () <p< ) ; otherwise Here of 8 p=0.sotop=0.50 PG=0) (c)(0.50) fo. so • x- 0,1 - 8 otherwise 8-1 a) Find the probability of getting exactly Igå I io 8 births Pie P(x:1) = (8C,)10.so) '(0.50) 8 x 0.50 x 7-8125 xlo 0 03.125 plxan) = 0.031253 3 Therefore the probability of getting erectly I girl in s birthis is o. 03125