Combinatorics-Based Probability Section1. Аgroup of military officers is composed of 6 Army Officers, 7 Navy Officers, and 8 Air Force Officers. Aneight officer committee is to be randomly selected. Find P(3 Army Officers, 2 Navy Officers, 3 Air ForceOfficers).23,50023,530D.203,49023,510А.203,49023,520С.203,490В.203,490

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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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collected data from 150 surveys ne nanaed out at a busy park located in the region. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "white collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is Ho: p = 0.26 and the alternative hypothesis is Ha: p<0.26. The researcher collected data from a random sample of 120 adults with "white collar" jobs of which 25 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the N(0, 1) distribution as the sampling distribution are satisfied. Find the values of the sample proportion, p, the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth. P = 0.30, z = 0.803, p-value = 0.041 A P = 0.208, z = -1.290, p-value = 0.098 P = 0.75, z = -1.32, p-value = 0.599 P = 0.208, z =…
30% of students take Physics 101 and 20% take Math146. Of the students who take Physics 101, 25% also take Math146. If a student is chosen at random find P( student takes Physics101 and Math146) O a. 0.3 O b. 0.2 O c. 0.25 O d. 0.83 One 0.075
consider a political discussion group of 6 democrats, 5 republicans, and 3 independents. If two group members are randomly chosen, in succession, to attend a convention. What is the probability of selecting an independent and then a democrat?
In a lottery game, 4 numbers are chosen at random. Each number can take a value 1, 2, 3, or 4, and each value is equally likely. The numbers are chosen independently of each other. Use the method of equally likely outcomes to answer the following question: Which sequence of numbers is more likely to be drawn in the lottery, 1-1-1-1 or 4-2-3-1? Group of answer choices They are equally likely 1-1-1-1 is more likely 4-2-3-1 is more likely
An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.
Consider a political discussion group consisting of 5 Democrats, 10 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Republicans. (Type an integer or a simplified fraction.) C
Two cards are selected, without replacing the first card, from a standard deck of 52 playing cards. Find the probability of selecting an ace and then selecting a jack.
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 1/30 = 0.03 or 3% 3/(30+30+30) = 3/90 = 0.33 or 33% 3/(30×30×30) = 3/27000 = 0.0001 or 0.01% 1/(30×30×30) = 1/27000 = 0.00003 or 0.003% Question 18
Multiple-choice questions each have five possible answers ( a, b, c, d ), one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer. b. Beginning with CWC ,make a complete list of the different possible arrangements of two correct answers and one wrong answer ,then find the probability for each entry in the list. P(CWC)= P(WCC)= P(CCW)= c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made?
* * * * As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 3 of Diamond s? Preview 2) A Heart or Club? Preview 3) A number smaller than 7 (counting the ace as a 1)? Preview

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