A total 3

A total of 160 families with 4 children each were surveyed with the following results.

Boys 4 3 2 1 0
Girls 0 1 2 3 4
Families 7 50 55 32 16


Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl.
What is the probability of getting:

a) All boys
b) three boys, one girl
c) two boys, two girls
d) one boy, three girls
e) All girls

Correct answer:

p1 =  0.0438
p2 =  0.3125
p3 =  0.3438
p4 =  0.2
p5 =  0.1

Step-by-step explanation:

p0=1/2=21=0.5 n=160 p1=n7=1607=0.0438
p2=n50=16050=0.3125
p3=n55=16055=0.3438
p4=n32=16032=0.2
p5=n16=16016=101=0.1   Verifying Solution:  P1=(44)p04(1p0)44=(44)0.54(10.5)44=10.540.50=161=0.0625 P2=(34)p03(1p0)43=(34)0.53(10.5)43=40.530.51=41=0.25 P3=(24)p02(1p0)42=(24)0.52(10.5)42=60.520.52=83=0.375 P4=(14)p01(1p0)41=(14)0.51(10.5)41=40.510.53=41=0.25 P5=(04)p00(1p0)40=(04)0.50(10.5)40=10.500.54=161=0.0625



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