**Jina's Dart Game: An Exercise in Probability**Jina is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random.**Game Rules:**- Jina wins: - $1 if the dart lands in slice 1 - $2 if it lands in slice 2 - $5 if it lands in slice 3 - $8 if it lands in slice 4- She loses $2.50 if the dart lands in slices 5, 6, 7, or 8.(For additional information, consult a [list of formulas](#).)**Exercises:****(a)** Find the expected value of playing the game.- [ ] dollars**(b)** What can Jina expect in the long run, after playing the game many times?- [ ] Jina can expect to gain money. She can expect to win [ ] dollars per toss.- [ ] Jina can expect to lose money. She can expect to lose [ ] dollars per toss.- [ ] Jina can expect to break even (neither gain nor lose money).

Answered: Image /qna-images/answer/479b1d0d-3c95-4134-b073-759181c2e1d1.jpg

Answered: (a) Find the expected value of playing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Describe about the Alternative Approach to Conditional Probabilities?
Ming is learning the game of tennis and will practice serving a tennis ball within bounds. Assume that the probability of Ming serving a tennis ball within bounds is 0.40 and that her serves are independent of each other. What is the probability that the first time Ming serves a tennis ball within bounds will occur on her 4th attempt? (A) 0.4 (B) 1 (0.4)4 = (C) (0.6)³ (0.4) (D) (1) (0.4) (0.6)³ (E) 0.4)³ (0.6) (1) (0.4) (0.6)³ + (2) (0.4)2(0.6)² + (3) (0.4)
Probability
K Find P(A or B or C) for the given probabilities. P(A)=0.39, P(B) = 0.22, P(C) = 0.11 P(A and B) = 0.12, P(A and C) = 0.02, P(B and C) = 0.07 P(A and B and C) = 0.01 P(A or B or C) =
You are purchasing a new car The dealership has a promotion where you get to choose one of 20 keys. One of the twenty keys opens a box allowing you to save $5000 on your new car. Two others open a box that allows you to save $1000. All remaining keysopen nothing a) What is your expected savings on the car? b) Is it safe to say you will save something with this promotion? Explain.
Fred and his daughter, Delia, support their town's rugby team. The probability that Fred watches a game is 0.8. The probability that Delia watches a game is 0.9 when her father watches the game, and is 0.4 when her father does not watch the game. (a) Calculate the probability that: (I)both Fred and Delia watch a particular game (II) neither Fred nor Delia watch a particular game.
For each answered question explain your answers i.e. show your reasoning. Q 5(c) Suppose you conduct a series of experiments, each of which consists of tossing a fair coin five (5) times. Let X be the number of heads. (i) What are the probabilities for each value of X? What is the P(the first toss is heads | X=0)? (ii) What is the P(X < 3)? (ii) (iv) What is the P(X=3| given the first toss is tails?)
prob of getting 2 when a dice throw 3 times
O Whats inside of blo. S Watch Cra zy Rich A Car inspection: Of all the registered automobiles in a city, 6% fail the emissions test. Nine automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly four of them fail the test. The probability that exactly four of them fail the test is Part 2 of 4 (b) Find the probability that fewer than four of them fail the test. The probability that fewer than four of them fail the test is Part 3 of 4 (c) Find the probability that more than three of them fail the test., The probability that more than three of them fail the test is
Q.3 (i) You are taking a 50 question multiple choice test. Each question has 4 choices. Clueless on 1 question, you decide to guess. What is the probability that you will get it correct? (ii) If a passing grade is 30 correct answers, what is the probability that you will pass if you guess on all 50 questions.
Probability The entire study of probability was started by the French mathematicians Pascal and Fermat. They were trying to solve the following problem: Suppose two players, A and B place equal bets on who will win the best of seven tosses of a fair coin. They start the game, but then have to stop before either player has won. If the score when they stop is two for A and one for B, how should they divide up the pot? To analyze this situation, finish this probability tree. Remember, A only needs two more successes and B needs three to win. A wins with probability 1/4 1/2 1/2 1/2 B A Now, what fraction of the time does A win? And what fraction of the time does B win?

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