Question 1: If a random variable X can take integer numbers between 1 and 100. If X follows an uniform distribution,
1) What is the probability that X will fall between 4 and 6 (4 and 6 are included)?
2) What is the probability that X is greater than 3?
Question 2: If commuting times are normally distributed with mean 25.4 minutes, and standard deviation is 12.1 minutes.
1) What is the probability that a commuting time is shorter than 26.0 minutes. Calculate by hand and by R.
2) What is the probability that a commuting time is longer than 35 minutes. Calculate by hand and by R, and attach the R code and the result in your homework