Use the following to answer Questions 2 and 3. A recent nationwide study of myop

Question

Use the following to answer Questions 2 and 3.

A recent nationwide study of myopia (nearsightedness) found that 38.1% of American adults ages 18 to 24 suffer from myopia. Consider two young adults between the ages of 18 and 24, chosen randomly and independently.

2. The probability that both individuals suffer from myopia is

   a. 0.145.

   b. 0.381.

   c. 0.617.

   d. 0.762.

3. The probability that neither of them suffer from myopia is

   a. 0.238.

   b. 0.383.

   c. 0.619

   d. 0.855.

Please explain how you got your answer, thank you.

Explanation / Answer

2. p = Probablity of having myopia = 0.381

q = 1 - p = 0.619

Probability of both having myopia = p2 = (0.381)2 = 0.1452

So, correct option is:

a. 0.145

3. Probability that neither of them suffer from myopia = q2 = (0.619)2 = 0.3832

So, correct option is:

b: 0.383

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