Problem 1:
A dataset contains information on travel behavior of male and female workers of a small office. A total of 50 workers drive (27 males and 23 females) and 30 others use transit (14 males and 16 females). If we randomly choose one individual,
a. What is the probability that the individual is a driver?
b. What is the probability that the individual is male?
c. What is the probability that it is a male driver?
d. What is the probability that it is a female or a transit user?
If we randomly pick two individuals,
e. What is the probability that both are transit users?
Problem 2:
A long-term record for weather in a certain province shows that the annual precipitation has a mean of 39.67 inches and a standard deviation of 4.38 inches. If the annual precipitation amount has a normal distribution, what is the probability that next year the total precipitation will be:
a. more than 50.0 inches?
b. between 42.0 and 48.0 inches?
c. between 30.0 and 37.5 inches?
d. more than 35.0 inches?
e. less than 45.0 inches?
f. less than 32.0 inches?