3. A cigarette smoker consumes on average 5 cigarettes per day. For a randomly selected day in the month, calculate the following probabilities. Use the cumulative distribution in parts b through e.

1. The smoker does not smoke any cigarettes, P(X=0)
2. The smoker smoke no more than two cigarettes, P(X2)
3. The smoker smokes more than 5 cigarettes, P(X>5)
4. P(3
5. The smoker smokes less than 20 cigarettes in the entire week (i.e. 7 days)

4.Calculate the probability that an observation from a random variable that follows the normal distribution will fall within 2.5 standard deviations of its mean

5.The number of courses one universitys students taken per semester approximately follows the discrete normal distribution with mean equal to 4.8 and standard deviation equal to 0.6. What percentage of the universitys students take less than 4 courses per semester?