In: Statistics and Probability
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 33% chance of becoming myopic before they are 16. Children who sleep in darkness have a 22% probability of becoming myopic. A survey indicates that 26% 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.
Answer:
Given that:
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 33% chance of becoming myopic before they are 16.
Children who sleep in darkness have a 22% probability of becoming myopic. A survey indicates that 26% of children under 2 sleep with some light on.
Probability that a random child under 2 will become myopic before reaching 16 years old.
So, answer is 0.2486 or 24.86%