2.6. Kim Key is starting a new business for supplying water coolers with spring water to offices. As a part of her preliminary market research, she read a recent survey reporting that the average person consumes 6 glasses of water per day (250ml per glass). Assume the standard deviation of water consumption is 1.5 glasses per day and the consumption rate follows a normal probability distribution. To confirm, she conducted a survey and contacted 100 office employees.

a. What is the standard error of the mean?

b. What is the probability that the average office worker drinks between 6 and 6.25 glasses of water per day?

c. What is the probability that the average office worker drinks less than 5.8 glasses of water per day?