Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 78 and sigma equals 28.

(a) describe the sampling distribution of x overbar.
(b) what is upper p (x overbar greater than 83.8 )?
(c) what is upper p (x overbar less than or equals 69.6 )?
(d) what is upper p (75.8 less than x overbar less than 88 )?

Ineed to find the answer to number 2

Given that (6,9) is on the graph of f(x), find the corresponding point for the function f(x - 2). enter the correct answer.

You are in a room of 22 people (including yourself). each of you has their own deck of 52 cards — assume each deck is well-shuffled, and can be assumed to be fair and independent of each other.1. each you draws the top card of your deck. what is the probability that at least one other person has drawn the same card as you? 2. let x be the number of people who drew a card that was also drawn by at least one other person. for example, if you all drew the same card, x=22, but if you all drew different cards, x=0. what is the expected value of x? 3. consider the same situation as the last question, but this time with 29 people: all 29 of you are in a room with your own decks of cards, and you draw one of them. what is the probability that at least one person draws the ace of spades? 4. let x be the number of the types of card drawn. for example, if everyone draws the same card, x=1, but if everyone draws a different card, x=29. what is the expected value of x?