Merta Reports That 74% of Its Trains Are on Time

Multiple Choice

Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time. Find the probability that among the 60 trains, 38 or fewer arrive on time. Based on the result, does it seem plausible that the "on-time" rate of 74% could be correct?

A) .0409 , yes
B) .0316 , yes
C) .0316 , no
D) .0409 , no