5. What is the probability of these events when we randomly select a permutation of {1,2, .n}, where n > 4?a) 1 precedes 2.b) 2 precedes 1.....c) 1 immediately precedes 2.d) n precedes 1 and n – 1 precedes 2.e) n precedes 1 and n also precedes 2.6. Assume that the probability of a child is a boy is p, and that the sexes pf children born into a family areindependent. What is the probability that a family of five children hasa) exact three boys?b) at least one boy?c) at least one girl?d) all children of the same sex?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q2: A box containing blue and red balls totaling 18 balls. If another six blue balls add to the box, the probability of drawing a blue ball will be twice that of a red ball. :Determine a) The number of blue balls in * the box before addition 10 O 9. 8 none of all above b) The probability of drawing * blue ball after addition 0.3333 0.4444 0.6667 none of all above bl 7 c) The probability of drawing red * ball before addition 0.3333 0.5556 0.6667 none of all above
a glass manufacturer finds 1 in every 500 glass items prodced is warped. find the probability that A) the first warped glass item is the 10th item produced B) the first warped item is the 1st, 2nd or 3rd item produced C) none of the first 10 items produced are defective
33 - The probability of a medical intervention being successful is 0.65. What is the probability that 8 out of 10 medical interventions of the same type performed by the same team will be successful? a) 0.25 B) 0.346 NS) 0.284 D) 0.176 TO) 0.128
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Four fair eight-sided dice are rolled. An outcome is an ordered sequence of 4 numbers between 1 and 8. For example, the sequence 1-1-4-3 is different from the sequence 4-1-3-1. a) How many outcomes are possible? b) What is the probability that a roll results in 4 different numbers? c) What is the probability that a roll results in 4 of the same number? a) The number of possible outcomes is (Simplify your answer.) b) The probability that a roll results in 4 different numbers is (Type an integer or decimal rounded to four decimal places as needed.) c) The probability that a roll results in 4 of the same number is (Type an integer or decimal rounded to seven decimal places as needed.)
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a) How many positive three-digit integers are multiples of 7? (b) What is the probability that a randomly chosen positive three-digit integer is a multiple of 7? (c) What is the probability that a randomly chosen positive three-digit integer is a multiple of 6? Suppose that on a true/false exam you have no idea at all about the answers to three questions. You choose answers randomly and therefore have a 50–50 chance of being correct on any one question. Let CCW indicate that you were correct on the first two questions and wrong on the third, let WCW indicate that you were wrong on the first and third questions and correct on the second, and so forth. (a) List the elements in the sample space whose outcomes are all possible sequences of correct and incorrect responses on your part. (b) Write each of the following events as a set, in set-roster notation, and find its probability. (i) The event that exactly one answer is correct. set = .........?probability…
555)!!?45((4()

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What is the probability of these events when we randomly select a permutation of {1,2, ... ,n}, where n > 4? a) 1 precedes 2. b) 2 precedes 1. c) 1 immediately precedes 2. d) n precedes 1 and n – 1 precedes 2. e) n precedes 1 and n also precedes 2.