1. Twenty percent of the population of Maryland describe themselves as binge drinkers. For a randomly selected group of 5 Maryland residents, use the appropriate statistical table to describe the probability distribution for x 5 the number in the sample who describe themselves as binge drinkers.
Source:Statistical Abstract of the United States 2009, p. 130.
2. A company has installed five intrusion-detection devices in an office building. The devices are very sensitive and, on any given night, each one has a 0.1 probability of mistakenly sounding an alarm when no intruder is present. If two or more of the devices are activated on the same night, the intrusion system automatically sends a signal to the local police. If no intruder is present on a given night, what is the probability that the system will make the mistake of calling the police?
3. A mining company finds that daily lost-work injuries average 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?