Question

A survey showed that 78​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 17 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 17 adults require eyesight correction is . ______ .

Answer 1

Solution: We are given:

p 0.78, n17

We have to find

P(1)

Using the binomial distribution model, we have:

P(x1) P(x 0) P(T 1)

  

17 17 0.78(1-0.78)7- 0.78 (1 -0.78)17-0 0 1 +

0.0000 0.0000

= 0.0000

The probability that no more than 1 of the 17 adults require eyesight correction is 0.0000

Yes, 1 is a significantly low number of adults requiring eyesight correction.