3:Arete foncmeng events independent? Answer 'Kue' orfalse'andgue a reasun.Ine first bann Dom tedayisis a girl.girli the last bany borntoday

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Answered: 3. Are the fomeming events indeponaent?…

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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25) Elen Toby nd far faends arnange. Iobay themehves at random a arle. Ho mang acragpemerts neits arrau are possible en nd Tabyre not eaether 2
2. a) What is the probability of getting exactly seven heads in the course of twelve flips of an honest coin? b) Let's say you have a dishonest coin, such that its probability of landing head side up is 0.7. Now what would be the probability of getting exactly seven heads in the course of twelve flips? c) What is the modal (likeliest) number of heads to occur in twelve flips of the dishonest coin in 2b)? d) Which probability distribution is designed for such problems?
Q 53. Prove or Disprove: Prove or disprove by counterexample the following statements. Follow these steps: • Write either TRUE' or FALSE' next to each statement. • If True, then prove the statement using the tabular form and show each step with justification. • If False, then provide one clear counterexample and show the statement does not hold. a) Let A and B be two events in a sample space, S. If ACB then A C B. b) Let A and B be two events in a sample space, S. Then, P(AnB) < min{P(A), P(B)}. c) The following is a valid probability density function: -2
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A coin is flipped twice. What is the conditional probability that both flipds land on heads, given that a) the first flip lands on head b) at least one flip lands head PLEASE PROVIDE THOROUGH EXPLANATION WITH A TREE DIAGRAM WOULD BE PREFERRED, THANK YOU........
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a) only II B) IV only NS) only I D) III and IV TO) only III
Suppose a card is drawn from a standard 52 cards deck. Spades, Diamonds, Clubs, Hearts Let A denote the event "the card drawn is black" and B denote the event "the card drawn is diamond". Are A and B independent? Are they mutually exclusive? O Not independent, not mutually exclusive. O Mutually exclusive and independent. O Independent but not mutually exclusive. O Mulually exclusive but not independent.
4. The probability that the first bus is late is . If the first bus is late, the probability of the second bus being late is otherwise it is (buses are either 13 on time or late, they are never early!). a) Complete the tree diagram. b) What is the probability of both buses being late? c) What is the probability of both buses being on time? d) What is the probability of at least one bus being on time? Late Late On Time Late On Time On Time First Bus Second Bus

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3. Are the fomeming events indeponaent? Arswer kue or False'and ane a reasun. Ine first bab Don teday isa cirli the last nany born is a today girl.