carterlovsang carterlovsang
  • 04-10-2018
  • Mathematics
contestada

if P(a)=0.60 and P(b)=0.30, then a and b are independent events if

Respuesta :

JeanaShupp
JeanaShupp JeanaShupp
  • 01-11-2019

Answer: [tex]\text{P(A or B)}=0.90[/tex]

[tex]\text{P(A and B)}=0.18[/tex]

Step-by-step explanation:

Given : P(A)=0.60 and P(B)=0.30

We will say A and B are independent events if :

[tex]\text{P(A or B)=P(A)+P(B)}\\\\=0.60+0.30=0.90[/tex]

[tex]\text{P(A and B)=P(A) x P(B)}\\\\=0.60\times0.30=0.18[/tex]

Thus , A and B are independent events if :

[tex]\text{P(A or B)}=0.90[/tex]

[tex]\text{P(A and B)}=0.18[/tex]

Answer Link
shannahawkinson shannahawkinson
  • 12-08-2020

Answer: P( A and B)= 0.18

Answer Link

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