Suppose you have have quiz you did not study for that consists of 10 true or false questions. If you need at least a 70% to pass, what is the probability that you will pass if you randomly guess on each true or false question? (Hint: What is the probability of success; what is the probability that you’ll randomly guess a true or false question correctly? How many problems out of 10 constitutes a pass? select the correct answer. (i) 0.1172 (ii) 0.1719 (iii) 0.8281 (iv) 0.2051

Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 5. You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You line them up in some random order on your tile rack (assume all orderings are equally likely). The events M, T, and S are defined as follows: M: The tiles M, A, T, H appear consecutively. T: The tile T appears exactly in the middle (fourth position). S: The tile S is either in the first position or in the final position. Calculate the probability of each event; that is, p(M), p(T), and p(S). 5.1 5.2 What is p(MIT)? 5.3 What is p(MIS)? 5.4 5.5 What is p(T|S)? Consider all pairs of events: (M,T), (M,S), and (T,S). Which pairs of events are independent and which pairs of events are not independent? Justify your answer.

If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

Suppose you are conducting a test of significance to try to determine whether your cat, Hope, will go to the correct object (out of two) when it is pointed to. You test Hope 100 times and finds she goes to the correct object in 70 out of those 100 trials. In this scenario, what is the variable? Whether or not Hope goes to the correct object The 100 trials The proportion of the 100 trials that Hope goes to the correct object The long term proportion (probability) that Hope will go to the correct object

A test has three parts. Part A consists of seven true-false questions, part B consists of three multiple-choice questions with five choices each, and part C requires you to match three questions with three different answers one-to-one. Assuming that you make random guesses in filling out your answer sheet, what is the probability that you will earn 100% on the test? (Leave your answer as a formula.) P(E) O P(E) O P(E) = P(E) = P(E) = = = 1 7² x 5³ x 3! 1 27 x 5³ x 3! 1 3² x 53 1 2³ x 35 x 7! x 7! 1 23 x 75 x 3!

please show the step by step solution and provide an explanation on why that is the right answer.

solve the following

An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly  (a) all 4 problems? 0.2545(b) at least 3 problems.

solve the following

I need help with developing the excel formula to calculate the probability for the 5th question of this assignemnt. In this tab, you must answer the five questions below the table of data. To do so, you will have to write formulas which calculate probabilities. To write these formulas, remember the following formula for classical probability: ?(?) = ?/ ?  = ?????? ?? ???? ????? ? ?????? / ????? ?????? ?? ???????? ???????? ?? ?ℎ? ?????? ????? Each of the questions involves a different “X”, and some of them involve different “T”s. Think through each question carefully to make sure you identify these values correctly. Question 5 What is the probability that someone with some college or more makes $75,000 or more? Answer:   Household Income ($1000s) Education Level $0 - 24.9 $25 - 49.9 $50 - 74.9 $75 - 99.9 $100+ Total Not H.S. Graduate 4,207 3,459 1,389 539 367 9,961 H.S. Graduate 4,917 6,850 5,027 2,637 2,668 22,099 Some College 2,807 5,258 4,678 3,250 4,074 20,067…