According to Statistics Canada, the average hourly wages in the manufacturing sector are as follows: Alberta: $26.50, Ontario: $24.69, British Columbia: $26.47. Assume that in all three provinces, the standard deviation of hourly wages is $3.

1. Suppose 40 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $25 and $26?
2. Suppose 35 manufacturing workers are selected randomly from across Ontario. What is the probability that the sample average will exceed $27?
3. Suppose 50 manufacturing workers are selected randomly from across British Columbia. What is the probability that the sample average will be less than $24.90?