Question

At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?

Answer 1

Answer: 34%

Explanation:

Creating a table with the information will help us.

<6h of sleep - 75% reported tired | 25% reported ok

>6h of sleep - 70% reported ok | 30% reported tired

80% of all interns received <6h of sleep

Let's imagine that we have 100 interns at this hospital

<6h | >6h Total

Tired 75% of 80 30% of 20

ok 25% of 80 70% of 20

Total 80 | 20 100

<6h | >6h Total

Tired | 60 | 6 66

ok | 20 | 14 34

Total | 80 | 20 100

what percent of the interns report no feelings of tiredness during their shifts?

34/100 = 34%