The probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
What is binomial probability distribution?
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
According to the given question:
n = 100 random sample
p = 0.6 probability of success
P(X = x) = n to x pˣ(1-p)ⁿ⁻ˣ
P(X = 30) = 100 to 30 (0.6)³⁰(0.4)⁷⁰
= 0.0567
Hence the probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
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