Question

based on a poll 43% of adults believe in reincarnation assume that 6 adults are randomly selected find p (at most 3 of the 6 believed in reincarnation)and find p (at least 3 of the 6 selected believe in reincarnation )

Answer 1

We are given a probability of p = 43% = 0.43. we are asked to determine the probability of finding at most 3 out of 6 individuals that believe in reincarnation, that is:

`P(x\le3)`

Since this is a discrete variable we have the following:

`P(x\le3)=P(x=1)+P(x=2)+P(x=3)`

The probability that x = n, being "n" a natural number is:

`P(x=n)=\text{kCn}* p^k*(1-p)^(k-n)`