Final answer:
The probability that the news will be on is 31.67%.
Step-by-step explanation:
The probability of the news being on when Lenny randomly turns on his favorite radio station can be calculated by finding the ratio of the time the news is on to the total time of the schedule.
In this case, the news is on for 19 minutes out of a total schedule of 19+4+37=60 minutes.
Therefore, the probability is 19/60 = 0.3167 or 31.67%.