Respuesta :
Answer:
a)0.25
b)0.063
c)0.313
d)Yes, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.
Step-by-step explanation:
Probability nation is that adult believe in reincarnation [tex] p=.50 [/tex]
Therefore, [tex]q=1-.5=0.50 [/tex]
Using binomial distribution [tex]P(X=r)=nCr \times p^r\times q^(n-r) [/tex]
Where [tex]n=4, p=0.5, q=0.50[/tex]
a) When r=3
[tex]P(X=3)=4C3 \times (0.5)^3\times (0.5)^(4-3) [/tex]
[tex]P(X=3)=0.25 [/tex]
The probability that exactly 3 of the 4 adults believe in reincarnation is
0.25
b) Now, [tex] r=4[/tex]
[tex]P(X=4)=4C4 \times (0.5)^4\times (0.5)^(4-4) [/tex]
[tex]P(X=4)=0.063 [/tex]
The probability that all of the selected adults believe in reincarnation is
. 0.063
c) In this case atleast 3 will believe therefore [tex]r= 3 or 4[/tex]
[tex]P(X=3or 4)=P(X=3)+P(X=4)=0.25+0.063 =0.313 [/tex]
The probability that at least 3 of the selected adults believe in reincarnation is 0.313
d)Yes, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05 i.e 0.313.
