In a certain city, the daily consumption of electric power in millions of kilowatt– hours can be treated as a random variable having a gamma distribution with α = 3 and β = 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?
Answer to relevant QuestionsIf a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a random variable having a gamma distribution with α = 80√n and β = 2. If the sales cost is $ 8,000 per salesperson, how ...If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α = 2 and β = 9, what is the probability that in any given year there will ...Find z if the standard- normal-curve area (a) Between 0 and z is 0.4726; (b) To the left of z is 0.9868; (c) To the right of z is 0.1314; (d) Between – z and z is 0.8502. A random variable has a normal distribution with σ = 10. If the probability that the random variable will take on a value less than 82.5 is 0.8212, what is the probability that it will take on a value greater than 58.3? To illustrate the law of large numbers (see also Exercise 5.54 on page 172), use the normal approximation to the binomial distribution to determine the probabilities that the proportion of heads will be anywhere from 0.49 to ...
Post your question