Example 9.9 A perfect die is thrown a large number of times in sets of 8. The occurrence of 5 or 6 is called a success. In what proportion of the sets would you expect three successes?
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- l Verizon LTE 2:29 PM 9 @ 0 72% 4 Done 2 of 4 88 A single die is rolled. Find the odds in favor of rolling a number greater than 3. The odds in favor of rolling a number greater than 3 are : . (Simplify your answers.) +A fair die is rolled FIVE times. A 3 is considered "success," while all other outcomes are "failures." Find the probability of 2 successes. The probability of 2 successes is ___________ (Type an integer or a simplified fraction.)Score on last try: 0.2 of 1 pts. See Details for more. You can retry this question below 1 Evaluate Part 1 of 2 Part 2 of 2 Cooper is playing a game of chance in which four cards are drawn from a standard deck of 52 cards . Cooper guesses the suit of each card before it is drawn. The cards are replaced in the deck after each draw. If Cooper guesses the right suit every time, he wins $200. If Cooper loses, he pays $2 Complete the probability distribution table. Probability Distribution Table 200 x P(x) -2 What is Cooper's long-term expected profit per game? $ What is the standard deviation? $ ✓
- 5Part 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.MATH PROBABILITY AND STATISTICS, PLEASE ANSWER JUST IN 10 MINUTES, NOT ANYMORE A team of two engineers, A and B, was assigned to check a set of computations. The two work simultaneously but separately and independently. The probability of engineer A spotting a given error is 0.4, whereas that for B is 0.5. Suppose there is an error in the computation. What is the probability that the error will be discovered?
- pls help! No long expalanation needed. Write the solutions legibly. UPVOTE will be given! STATISTICS AND PROBABILITY MULTIPLE CHOICE The Philippine Red Cross says that about 11% of PH population has Type B blood. A blood drive is being held at your school. A. What is the probability that exactly 2 of the first 15 blood donors have Type B blood? a. 0.2238 b. 0.2793 c. 0.009 d. 0.7762 B. Given this sample of blood donors, compute the expected number who have Type B blood. a. 11 b. 3.0 c. 1.65 d. 2.2You have a box full of objects (several thousand). One half of the objects are cubes, one quarter of the objects are spheres, and one quarter of the objects are pyramids. You draw two objects out of the box. What is the probability that the first object is a cube and the second object is a pyramid? Group of answer choices A. 1/8 B. 1/4 C. 1/2 D. 1/16Multiple-choice questions each have 6 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions. Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer. (round answer to 4 decimal places) P(WWWWC) What is the probability of getting exactly one correct answer when 5 guesses are made? (round answer to 4 decimal places) P(exactly one correct answer) = %3D