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%

Step-by-step 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%