Attached is some stats work I need help with. Please solve out everything on scratch paper and re upload it here.

F 1 nal Exam for Stats Name _____________ Show Work! Good Luck __________________ Work Alone. Due by 2:00. 1) For each problem write as many of the following types of data you would get if you… { discrete, continuous, ordinal, qualitative, quantitative } a) asked people if they like spaghetti. b) asked people how many people live in their house. c) asked people to get on a scale and weighed them. d) asked people to guess the percentage of the population with the coronavirus. 2) Let A = { 3, 6 ,7,2 } and B = { 4,8,9,1 } a) Find ∑ " # $ b) Find ( ∑ " $ )( ∑ # − 1 ) 3) For data set A in number two, find mu and sigma. 4) We have a distribution with mu = 15 and sigma = 3 . What interval contains at least 64% of the data? 5) You are taking a twenty question multiple choice test where each question has 5 answ ers. How many ways can you choose to answer 8 of the questions on the test? 6. S = { A,B,C,D,E } is a sample space. We know that P( A ) = P( B ) = P( C ) = . 2 . We also know that P( D ) = P( E ). Find the probability of E. 7. You pay 50 cents to randomly select 6 checkers from a bag. The bag contains 10 red checkers and 9 black checkers. If you get 3 red checkers, then you get $5. If you get 4 red checkers, then you get $7 and if you get 5 red checkers, then you get $10. Otherwise, you get nothing. Find the expected value for this situation. 8. P( A ) = .4, P( B ) = .2 and P( A/B ) = . 25 . Find a) P( A or B ) b) P( B/A ) 9) Given the PDF for X, find P( X > 6 ) and find h. h 10) Given the probability distribution, find x such that a) P( X = x ) = .3 b) P(X > x ) = . 35 x P( x ) 1 .4 3 .25 5 .3 7 .05 11). Using the distribution in number 10, find mu and sigma. 12) You have a 1 4 % chance of winning when you play a certain game. You play the game 5 times. Let W = the number of times you win. a) Find P( W = 2 ). b) Find the mean for W. c) Find the standard deviation for W. 13) Let X= N( 5,2 ). Find x given the P( X < x ) = .984 14) You have a binomial random variable, B , with n = 120 and p = .44. Estimate P( 50 < B < 57 ). 15) Tigers have weights that are N(500, 20 ). ( pounds ) You win 2 tiger s . Find the probability that your tiger s have an average weigh t that is more that 5 1 5 pounds . . 16) Test Ho : ( 1 = ( 2 = ( 3 against H 1 : not H 0 using ) = .01. Lion Weight Tiger We ight Tigon Weight 459 437 510 472 444 525 491 429 500 488 450 515 490 490 17) Test to see if the categories are independent or not. Use alpha = .05. E F G H A 10 5 10 5 B 5 10 5 10 C 15 10 25 20 D 10 15 20 25 18) Make a 95% confidence interval for the percentage of fish that swim backward in an hour given that you watched 2 00 fish swim backward for an hour and 100 of these fish swam backwards. 19) Your friends are at it again. This time they are testing H 0 : ( = 14 versus H 1 : ( ≠ 14 . They have found that - ̅ = 13.5, - ̅c u = 14.7, n = 64 and they know / = 2. 4 . a) Do your reject H 0 ? Explain. b) Find alpha. c) Find the p - value. d) Find beta if mu is really 14.3. 20) In this problem, I will give you points. The x is the number of years since 1970 and the y will be the average global temperature anomaly for that year. The data is ( 0, 0 ) , ( 10, .176 ), ( 20, .313 ), ( 30 , .513 ) and ( 40 , .753 ). a) Use this information to write the equation of the least squares regression line that could be used to predict average global temperature anomaly for a given year. b) Predict the average global temperature anomal y for 2020. c) Find the correlation between the average temperature anomaly and the year. Average temperature anomaly is an interesting idea. So, after your redo a test, you can start enjoying summer be reading about average temperature anomaly. Finally, ( get it ? ) I would like to say that I wish we were able to finish in person. I have gotten used to the online world, but it has been strange being a person of which others would ask tech questions. Thank you for, in gener al, bearing with me as I attempted to learn how to do things online. I hope that you have a great summer.