Hiw:-An elementar school is offer ing (3) languageClasses:in spanish,one in Fren ch andoneone in Ger man. These classesf the (10) students in the schoo, There aref&8) students in the Spanish Class, (26) inthe French class, and (16) in the Germanclass. There are (12) students that arc in both eSpanish and Frenchy (4) that are in bothSpanish and German, and (6) that are in both &French and German, In addition, there are (2)estudents taking allare open to any3 classes.1. If astudent is chosen andomly, what is theprobability that he or sheis not in any ofthe se classes?2If a student is chosen randomly, whatisthe probability that he or she is takingexactly.one language class ?

here define events and draw venn diagram student takes Spanish language= S student takes German…

Answered: 1. If astudent is chosen randomly, what…

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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6. There are four tickets in a box, numbered from 1 to 4. We draw two without replacement. What is the probability of getting 1 in the first draw? How about in the second draw?
1. Suppose we are dealt 7 cards from a well-shuffled standard deck. (You may leave terms like (2) in your answer.) (a) What is the probability of 3 pairs? (b) What is the probability of 4 of one kind and 3 of another? (c) What is the probability of 4 aces and 3 of another kind? (d) What is the probability of all seven cards being in the same suit? (e) Let N be the number of aces that you are dealt. What is P{N = k} for k = 0, 1, 2, 3, 4. (You could work this out for each value of k, which is fine. However, you might also be able to figure out how to write your answer as a function of k, which involves a lot less writing.)
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Suppose you have a class with 30 students ‒ 10 freshmen, 12 sophomores, and 8 juniors. a) You pick one student at random. What is the probability that the student is not a junior? b) You pick two students at random, one at a time. What is the probability that both are freshmen? c) You pick two students at random, one at a time. What is the probability that the second student is a freshman, given that the first is a freshman?
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4)
7) In a standard 52-card deck, there are four suits (hearts, diamonds, clubs, spades), each with thirteen cards (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A). Find the probability that a. b. C. d. e. one card is selected which is a Q or a club. a Q is selected, replaced, and then a club is selected. a diamond is selected and then, without replacement, a club is selected. a face card (J, Q, K) is selected, replaced, and then another face card is selected. a face card (J, Q, K) is selected and then, without replacement, another face card is selected.
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1. If astudent is chosen randomly, what is the probability that he or she is not in any of the se classes? 2-If a student is chosen randomly, whatis the probability that he or she is taking exactly one language class 2