Question

Jane Peterson has taken Amtrak to travel from New York to Washington, DC, on ten occasions, of which five times the train was late. Therefore, Jane tells her friends that the probability that this train will arrive on time is _______. (Express your answer in decimal form, and round your answer to 1 decimal place. If you got .57843 for your answer, type .5)

Answer 1

0.5

Explanation:

From the given data, to find out the probability of the train being late we employ the following method:

Probability of train being late = how many times the train was late / total train trips

Probability of train being late = 5 / 10 = 0.5

Since this is the probability of the train being late, the probability of it being on time will be 1 - (prob. of train being late)

This is:

Probability of train being on time = 1 - 0.5 = 0.5