Question

A survey showed that 73% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 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?

Answer 1

We will answer the question using the binomial probability with the following parameters.

p = 73%

n = 15

q = 27%

x = 1

The probability that no more than one adults need correction = P(0) + P(1)

$\begin{gathered} P(1)\text{ = 15C1*73\%}^1*27\%^{14} \\ =0.00...... \end{gathered}$

P(0) = 0

P(1) = 0

1 is therefore a significantly low number as the probability as P(1) = 0