Question

Based on a poll, 43% of adults believe in reincarnation. Assume that 6 adults are

randomly selected. Use the binomial distribution

* Find the P (Exactly six of the six selected believe in reincarnation)

* Find the P (At most 3 of the six selected believe in reincarnation)

Answer 1

p = p(believe in reincarnation) = 0.43

n = 6

x = no. of adults in sample of believe in reincarnation

here, P(x) = 6Cx * (0.43^x) * (1-0.43)^(6-x)

1st part :

P(6) = 6C6 * (0.43^6) * (1-0.43)^(6-6)

= 0.43^6

= 0.0063

2nd part :

P(at most 3 of 6 believe in reincarnation) = 0.7768

(please UPVOTE)