For this assignment, you submit answers by questions. You are required to use a

Question

For this assignment, you submit answers by questions. You are required to use a new randomization after every 1 question submissions Your best submission for each entire question is used for your score Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. Find the probability that at least four of the 25 patients actually have the flu. (Round your answer to four decimal places.) O Show My Work (optional tion Question 3 of 4 View Next Question >>

Explanation / Answer

We use the Binomial probability

Binomial Probability = nCx * (p)x * (q)n-x, where n = number of trials and x is the number of successes.

Here n = 25, p = 0.04, q = 1 – p = 0.96

P(At Least 4) = P(4) + P(5) + ..... + P(25) = 1 - [P(0) + P(1) +P(2) +P(3)]

P(0) = 25C0 * (0.04)0 * (0.96)25-0 = 0.3604

P(1) = 25C1 * (0.04)1 * (0.96)25-1 = 0.3754

P(2) = 25C2 * (0.04)2 * (0.96)25-2 = 0.1877

P(3) = 25C3 * (0.04)3 * (0.96)25-3 = 0.06

P(At Least 4) = 1 - [0.3604 + 0.3704 + 0.1877 + 0.06] = 1 - 0.9835 = 0.0165

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