I need help with my statistics homework. For the bottom select answer questions, the options for the question A poll is given, showing 65% are in favor of a new building project. If 126 people are chosen at random, answer the following, the correct wording is rv X= the number of 126 randomly selected people that are in favor of a new building project and the symbol for 126 is n and 0.65 is p. As for the question Assume this year's flu vaccine has a 70% chance of being effective. If the vaccine is given to 315 randomly selected people, answer the following, the wording is rv X the number of the randomly selected 315 people who got the vaccine and didn't get the flu and the symbol for 315 is n and for 0.7 is P. DON'T ANSWER OR ASK FOR STUFF ABOUT THE SELECTION OF ANSWERS. THAT IS NOT WHAT I'M ASKING FOR. I need help with the rest of the questions, not selecting answers.

A poll is given, showing 65% are in favor of a new building project. If 126 people are chosen at random, answer the following. a) Which is the correct wording for the random variable? Select an answer b) Pick the correct symbol: ? = 126 c) Pick the correct symbol: |? v = 0.65 d) What is the probability that exactly 77 of them are in favor of a new building project? Round final answer to 4 decimal places. e) What is the probability that less than 77 of them are in favor of a new building project? Round final answer to 4 decimal places. f) What is the probability that more than 77 of them are in favor of a new building project? Round final answer to 4 decimal places. g) What is the probability that exactly 85 of them are in favor of a new building project? Round final answer to 4 decimal places. h) What is the probability that at least 85 of them are in favor of a new building project? Round final answer to 4 decimal places. i) What is the probability that at most 85 of them are in favor of a new building project Round final answer to 4 decimal places.Assume this year's flu vaccine has a ME chance of being effective. If the vaccine is given to 315 randomly selected people, answer the following. a] Which is the correct wording for the random variable? b] Pick the correct symbol: = 315 c} Pick the correct symbol: = 0.? d] What is the probability that exactly 215 of them did not get the flu? Round final answer to 4 decimal places. ' I e} What is the probability that less than 215 of them did not get the flu? Round final answer to 4 decimal places. ' I f} What is the probability that more than 215 of them did not get the flu? Round final answer to 4 decimal places. ' l g} What is the probability that exactly 215 of them did not get the flu? Round final answer to 4 decimal places. ' l h} What is the probability that at least 225 of them did not get the flu? Round final answer to 4 decimal places. ' l i] What is the probability that at most 215 of them did not get the flu Round final answer to 4 decimal places. ' l A bag of MOM's has 5 red, 6 green, 2 blue, and 4 yellow M&M's. Suppose you randomly select two MOM's from the bag one at a time without replacing the first MOM. Let A = first MOM is yellow and B = second MOM is red. Find the following probabilities. (Write your answers as fractions.) a) P(A) b) P(B | A) = c) P(A and B) =A bag of MOM's has 4 red, 2 green, 6 blue, and 3 yellow M&M's. Suppose you randomly select two MOM's from the bag one at a time with replacing the first M&M. Let A = first MGM is red and B = second MOM is blue. Find the following probabilities. (Write your answers as fractions.) a) P(A) = b) P(B | A) = c) P(A and B) =A test was given to a group of students. The grades and gender are summarized below A B C Total Male 9 10 4 23 Female 3 8 17 28 Total 12 18 21 51 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'C'.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 18 5 14 37 Female 11 3 7 21 Total 29 8 21 58 If one student is chosen at random from those who took the test, Find the probability that the student got a 'B' GIVEN they are male.Find the mean and standard deviation of a probability distribution. As a special case of the mean, be able to compute the expectation in a game, given the profit associated with each possible outcome. Find the missing probability, P(-1), and then find the mean and standard deviation for this probability distribution. You may round your answers to two decimal places. C P(x) -5 0.12 -1 0.07 2 0.16 4 0.08 Mean = Standard Deviation =A company estimates that 0.596 of their products will fail after the original warranty period but within 1 years of the purchase. with a replacement cost of SEEK}. If they offer a 2 year extended warranty for 531, what is the company's expected 1value of each warranty said? A bag contains 1 gold marbles, 8 silver marbles, and 30 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?In the United States, 40% of the population has type A blood. Suppose 45 people from the U.5. are randomly chosen. Use the formula for binomial probabilities Pa) = (3m :0)\" t to find the probability that exactly 3 of the f: people sampled haye type A blood. {a} First fill in the details of the binomial probability formula: 13(3) = { i { i [b] The probability, accurate to 4 decimal places, is Assume that a procedure yields a binomial distribution with n = 34 trials and the probability of success for one trial is p = 0.17. Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard deviation for this distribution. (Round answer to two decimal places.) Will the probability histogram for the binomial random variable be approximately bell shaped? O No, this is not bell shaped since np(1 - p) 10 O Yes, this is bell shaped since np(1 - p) > 10