A survey showed that 77% of adults need correction (eyeglasses, contacts, surger

Question

A survey showed that 77% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 18 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 18 adults require eyesight correction is Round to three decimal places as needed.) Is 1 a significantly low number of adults requiring eyesight correction? Note that a small probability is one that is less than 0.05. 0 A. No, because the probability of this occurring is small. B. C. D. Yes, because the probability of this occurring is small. Yes, because the probability of this occurring is not small. No, because the probability of this occurring is not small.

Explanation / Answer

p = 0.77

n = 18

P(X = x) nCx * px * (1 - p)n - x

P(X < 1) = P(x = 0) + P(X = 1)

               = 18C0 * (0.77)^0 * (0.23)^18 + 18C1 * (0.77)^1 * (0.23)^17

               = 0.000001

Option - B)Yes, the probability of this occuring is small.

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