Answer:
The probability under the given conditions is found:
P(7) = 0.079
Step-by-step explanation:
Let x be the number of adults who believe in reincarnation.
Adults randomly selected = 8
percentage of adult believe in reincarnation = 40% = 0.4
x follows binomial distribution:
P(x) = ![\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cx%5Cend%7Barray%7D%5Cright%29%20%28p%29%5Ex%281-p%29%5E%7Bn-x%7D)
where
n= total people random people selected = 8,
x = selected for the part = 7,
p = probability given = 0.4
P(7) = ![\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C7%5Cend%7Barray%7D%5Cright%29%20%280.4%29%5E7%281-0.4%29%5E%7B8-7%7D)
P(7)= (8)(0.0164)(0.6)
P(7) = 0.07872
Rounding off to 3 decimal positions
P(7) = 0.079
6*40=240. 4*40=160. 240*160=38400. 38400 is your answer.
Number 4
6=2•6-6
-18=-2•6-6
Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.