Solve . 1. Score: 0 of 1 pt 20 of 21 (17 complete) HW Score: 76.10% 16 of 21 pts

Question

Solve . 1. Score: 0 of 1 pt 20 of 21 (17 complete) HW Score: 76.10% 16 of 21 pts 14.4.65 Question Help * If the probability an event will occur is p and the probability it will not occur is q, then each term in the expansion of (p+q) represents a probability. The probability that 03-041 person suffers from a particular ailment is 0.33. If eight people are randomly selected, the probability that sx of them will suffer from the ailment is the third term of the binomial expansion of the binomial expression shown to the right. What is this probability? The probabity that six of the eight random y selected people suffer from the ailment is approx mately (Do not round until the final answer. Then round to four decimall places as needed.)

Explanation / Answer

P(Event) = Number of favourable outcomes/Total Number of outcomes

Please note nCx = n! / [(n-x)!*x!]

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

n = 8, x = 6, n - x = 2

Therefore the required probability = 8C6 * (0.33)6 * (0.67)2 = 28 * (0.001291468) * (0.4489) = 0.0162

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