Answer the questions below.(If necessary, consult a list of formulas.)(a) An experiment involves 30 participants. From these, a group of 4 participants is to be testedunder a special condition. How many groups of 4 participants are possible?0(b) To log on to a certain computer account, the user must type in a 5-letter password. In such apassword, no letter may be repeated, and only the lower case of a letter may be used. How manysuch 5-letter passwords are possible? (There are 26 letters in the alphabet.)ContinueType here to searchEtH(99+a#hpⒸ2023 McGraw Hill LLC. All Rights IO

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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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Question 10 It's hot out there! You made a batch of 24 frozen ice pops and would like to select a group of 3 to test for quality control. How many possible groups of 3 could you select? Group of answer choices 2,090 2,024 506 12,144 Question 11 You are at Walmart buying pool noodles for the summer. You are selecting 5 pool noodles from a bin that contains 9 green noodles, 16 red noodles, 20 blue noodles, and 17 yellow noodles. What is the probability that you select 2 yellow, 1 blue, and 2 red pool noodles? Round your answer to 5 decimal places. Group of answer choices 0.00191 0.00034 0.00168 0.00219 Question 12 The following data represents the popularity of meat pizza toppings during lunch and dinner: What is the probability that a randomly selected customer orders pepperoni? Round your answer to 4 decimal places. Group of answer choices 0.7077 0.6692 0.4643 0.2759 Question 13 The following data represents the popularity of meat pizza toppings…
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison. Which number range would be needed to label the subjects correctly? O 0-2 O 1-3 O 000-210 O 001-210
Suppose you rolled a fair six-sided die a few times and recorded the results. (You would have a collection of numbers 1-6.) Now, suppose you wanted to average these numbers. What value would you expect? If the die was rolled 6 times and the results were: 1, 4, 2, 2, 3, 2, then the average of this sample of rolls would be 2.333. This experiment could be peformed again: 6, 5, 2, 1, 1, 4. Now, the average of this sample is 3.167. Obviously, these small samples have a lot of variation in them; however, is there a way to calculate the expected average? If we were to construct a very large sample, rolling this die 1 million times, what would the expected value (mean) be? Luckily, the rules of probability allows us to do this calculation without actually having to roll the die 1 million times! Below, you will find a probability table where all of the possible outcomes from the die are listed. The first column contains the possible outcomes on the die, the second column contains the…
Country A and its neighboring Country B are very competitive, both claiming that a higher percentage "smart" people. So an experiment is conducted. A "smart" test is given to random samples in each country. Here are the results... Total Tested Number who were "smart" Country A 100 80 Country B 100 85 Based on these samples, Country B claims superiority. A social media frenzy ensues! For the purposes of this problem, assume that Country A and Country B actually have the same percentage of smart people, and that the results above -- seeming to favor Country B -- were just a result of random differences in sampling. Under that assumption, if the experiment were conducted again (100 new randomly selected people from each country), find the probability that Country B would once again "win" by 5% or more. Round to three decimal places, for example 0.286
8 For this problem, assume there are 3 grey females, 4 grey males, 2 white females, and 3 white males. As in the book, the biologist selects two mice randomly. (1) What is the probability of selecting two males given that both are grey? (2) What is the probability of selecting 1 mouse of each gender given that both are grey?
A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and B). Three pairs of twins are being studied tonight. Each pair of twins will be assigned to one of the four rooms, and then each twin will be assigned a specific bed in the room. How many ways are there to organize the experiment? (i.e. How many ways are there to assign the 6 subjects to rooms and beds if each pair of twins must share the same room?) 24 8 192 48 12
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
In a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times. c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box. The average of the tickets in the box from (c) is ___________ and the SD is___________.
In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.
250 adults are practicing every day before taking part in a high-stakes children's game. The game requires them carefully to remove a shape- either a star or an umbrella-from a sugar wafer. 30% of those who choose stars on a given day will switch to umbrellas the next day, and 20% of those who choose umbrellas on a given day will switch to stars the next day. (a) If 150 contestants practice with stars today, how many will practice with umbrellas tomorrow? (b) If the actual game is held a long time from now, what proportion of contestants do we expect will be practicing with stars each day close to then?
An insurance company is thinking about offering discounts on its life insurance policies to nonsmokers. As part of its analysis, the company randomly selects 200 men who are 60 years old and ask them if they smoke at least one pack of cigarettes per day and if they have ever suffered from heart disease. 10 out of the 38 smokers had suffered from some type of heart disease and 12 out of 150 nonsmokers had suffered from some type of heart disease. Can we conclude at the 5% level of significance that smokers have a higher incidence of heart disease than nonsmokers? (Don't hand writing solution)
You want to stimulate an experiment to draw cards out of a deck. You plan to draw 35 cards (with replacements) and list which cards you drew. How many times would you expect to draw a face card

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(a) An experiment involves 30 participants. From these, a group of 4 participants is to be tested under a special condition. How many groups of 4 participants are possible?