Statistics released by the National Highway Traffic Safety C

Statistics released by the National Highway Traffic Safety Commission show that on an average weekend night, 1 out of every 10 drivers on the road is drunk. If 400 drivers are randomly checked next Saturday night, use the normal approximation to the binomial to find the probability checked next Saturday night, use the normal approximation to the binomial to find the probability that the number of drunk drivers will be more than 35 but no more than 47. In a certain city, the daily consumption of electric power (in millions of kilowatt-hours) can be treated as a random variable having an exponential distribution with beta = 2. If the power plant of this city has a daily capacity of 12 million kilowatt-hours, what is the probability that this power supply will be inadequate on any given day?

Solution