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):
0
Round to 3 significant digits.
To calculate the probability that a randomly-selected person takes some form of public transport to get to work, we add up the number of people who take the train, subway, and bus and 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 0.865, rounded to 3 significant digits.
To calculate the probability that a randomly-selected person takes no public transport to get to work, we subtract the probability of taking public transport from 1:
P(No Public Transport) = 1 - P(Takes Public Transport)
P(No Public Transport) = 1 - 0.865
P(No Public Transport) = 0.135
Therefore, the probability that a randomly-selected person takes no public transport to get to work is 0.135, rounded to 3 significant digits.