In a survey of 200 people about the preferred way to get to work, 85 said they usually take the train to work, 53 said they usually take the subway to work, and 35 usually take the bus to work, while the remaining do not use any public transport.
What is the probability that a randomly-selected person takes some form of public transport to get to work?
P (Takes Public Transport):
Round to 3 significant digits.
What is the probability that a randomly-selected person takes no public transport to get to work?
P (No Public Transport):
Round to 3 significant digits.
To find the probability that a randomly-selected person takes some form of public transport to get to work, we need to add up the number of people who take the train, subway, and bus, and then divide by the total number of people surveyed.
P(Takes Public Transport) = (85 + 53 + 35) / 200
P(Takes Public Transport) = 173 / 200
P(Takes Public Transport) ≈ 0.865
Therefore, the probability that a randomly-selected person takes some form of public transport to get to work is approximately 0.865 or 86.5%.
To find the probability that a randomly-selected person takes no public transport to get to work, we need to subtract the number of people who take public transport from the total number of people surveyed, and then divide by the total number of people surveyed.
P(No Public Transport) = (200 - 173) / 200
P(No Public Transport) = 27 / 200
P(No Public Transport) ≈ 0.135
Therefore, the probability that a randomly-selected person takes no public transport to get to work is approximately 0.135 or 13.5%.