BAYEShw2: Problem 14 Previous Prob. List Next (1 pt) Researchers at the Universi

Question

BAYEShw2: Problem 14 Previous Prob. List Next (1 pt) Researchers at the University of Pennsylvania School of Medicine have determined that children under 2 years old who sleep with the lights on have a 36% chance of becoming myopic before they are 16 Children who sleep in darkness have a 28% probability of becoming myopic. A survey indicates that 22% of children under 2 sleep with some light on Find the probability that a random child under 2 will become myopic before reaching 16 years old. Probability

Explanation / Answer

So, 22% have lights on, and of those, 36% turn myopic.

On the other side, 78% have lights off, and of those, 28% turn myopic.

0.22*0.36 = 0.0792 lights-on myopic.

0.78*0.28 = 0.2184 lights-off myopic.

Together, 0.2976 or 29.76% will myopic.

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