Let u be a continuous uniform random variable on the interval (0, 1). we write u ∼ unif(0, 1). (a) for constants a and b such that 0 < a < b < 1, what is p(a ≤ u < b)? (b) let 0 < p < 1 be a fixed parameter. define a new random variable x as x = lnu ln(1 − p) . here, b·c is the floor function where bxc is the greatest integer that is less than or equal to x. find the distribution of x. (name it! )

Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =