We wish to send a single 0 or 1 (perhaps, "no" or "yes" or "don't attack" or “attack" or whatever) over what is called a noisy channel: a data transmission method in which there is some probability p that any 0 will be changed to (that is, received as) a 1 and the same probability that any 1 sent will be changed to a 0. A very primitive model of what is called an "error correcting code" is the following: we will send same single digit message n times, where n is odd, and "majority wins:" if more 0's are received than l's, the message is viewed as having been a 0, and vice versa. Supposep = .1 and we take n = 7; let S be the random variable keeping track of whether the message was in fact received correctly (that is, what is deduced at the receiving end is what was actually sent). Find the probability mass function for S. Here is new work: first, find E[S]. Second, find the expected value of the number of errors made.

hey got wrong answer still

Boris is putting 10 books in a row on his bookshelf. He will put one of the books, Pride and Predjudice, in the first spot. He will put another of the books, Little Women, in the last spot. In how many ways can he put the books on the shelf?

A donut shop made 12 dozens donuts to give to a school math club.  What algebraic expression would represent how many donuts each student would get if the donuts were equally distributed and there were x studens in the math club?

There were two questions in this. Thank you

how did you came up with 4 please explain

If you have a 12 can of pepi box and a 12 can of coca cola box what uses more cardboard

Marion is 3 years more than 5 times as old as Paula. If p represents Paula's age, which expression represents Marion's age?

The Plush Zo store sells stuffed animals. The store is running a special on teddy bears this month. One day, the shopkeeper took a sample of stuffed animals at the store. She found that 4 of the 15 stuffed animals that she sampled were teddy bears. The store had 590 stuffed animals on that day, and 110 of those stuffed animals were teddy bears. For the shopkeeper's sample, find and write with proper notation the population proportion and sample proportion of stuffed animals that were teddy bears. Write the proportions as decimals (not percentages) rounded to two decimal places. (a) Population proportion: (Choose one) V ? (b) Sample proportion: (Choose one) ▼

what would it be for 15 or older?