Abox contains 10 items, of which 3 are defective and 7are non defective. two items are randomly selected, one at a time, with replacement, and x is the number of defectives in the sample of two. explain why x is a binomial random variable

Point e(−5, 3) and point d(−4, −3) are located on the grid. which measurement is closest to the distance between point e and point d in units? a) 6.1 units b) 6.3 units c) 6.5 units d) 6.7 units

Three people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to the category that shows the ratio of currencies in that exchange.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.