The probability that a certain virus infects a random person is 0.2. If a random sample of 15 people is taken, what is the probability that at least one person is infected?

0.9648

Step-by-step explanation:

Given that:

p = 0.2

Sample size = Number of trials (n) = 15

Probability that atleast one person is infected.

This can be solved using the binomial probability function :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x ≥ 1) = p(1) + p(2) + p(3) +... + p(15)

The sum of the individual probabilities of p(1) up to p(15)

Therefore, to save computation time, we can use the binomial probability calculator :

P(x ≥ 1) = 0.9648

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step-by-step explanation: