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:

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