Suppose the lifetime (in months) of a certain type of lightbulb is a random variable X with pdf f (x) = 23 , x > 1. x2 x a. Find the cdf F(x). b. Find the probability that a lightbulb of this kind lasts longer than 2 months. c. Find the mean and variance of X. d. In a random sample of 5 such lightbulbs, what is the probability that at least 2 of them will work for more than 2 months?

What is the expression in factored form? -20x^2 - 12x a. 4x(5x+3) b. -4x(5x-3) c. -4(5x+3) d. -4x(5x+3)

How can you construct perpendicular lines and prove theorems about perpendicular lines

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)