It was found that 20% of people preferred the new user interface of a popular social media app. Assume youconducted a surveyof 250 people.a. Explain why this experiment can be treated as a binomial distribution by selecting all of thenecessary conditions.O One person's preference can influence someone else's.O The trials are dependent.O The trials are independent.O The survey is done multiple times.O There are only two options.O The probability of success never changes from trial to trial.

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Answered: It was found that 20% of people…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A group of 50,000 tax forms has an average gross income of $37,000, with an SD of about $20,000. Furthermore, 20% of the forms have a gross income over $50,000. A group of 900 forms is chosen at random for audit. What is the chance that between 19% and 21% of the forms chosen for audit have gross income over $50,000? (Show the box model and the result of your work.) Answer: %
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 443 randomly selected adults showed that 62% of them would erase all of their personal information online if they could. Find the value of the test statistic. The value of the test statistic is:
In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Students Given Four Quarters Students Given a $1 Bill O.A.0.659 Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. OB.0.675 OC.0.292 Purchased Gum 27 14 OD.0.307 Kept the Money 13 34
Suppose that P(A|B)=0.4 and P(B)=0.5. What is P(A B)? 0.8 O 0.2 O 0.1 D Question 5 ts Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), proper connections (13%), or poorly welded wires (52%). Find the probability that a failure is due to loose keys. O 0.2376 O 0.306
In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? 0.238 0.433 0.714 0.762
Which of the following is not a random variable? The number of heads in ten tosses of a fair coin. The number of passengers in cars passing though a toll booth. The age of the driver in cars passing through a toll booth. The response of randomly-selected people to the question, “Did you eat breakfast this morning?” The response of randomly-selected people to the question, “How many hours of sleep did you get last night?"
Determine whether the given procedure results in a binomial distribution. If not, give the reason why not.The Traverse City Cherry Festival surveyed 100 random people in attendance, asking what their favorite fruit was, and their responses were recorded as cherries or other Not binomial; there is not a fixed number of trials Not binomial; there are more than two outcomes for each trial Not binomial; the trials are not independent Not binomial; for more than one of the reasons given in the above answer choices This procedure results in a binomial distribution
Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
A man was buying shoes wheb a salesperson commebted on hiw small his feet were. After telling her she had a lousy sales technique, he decided to inveatigate if he really does have feet that are smaller than the typical american man. If he is in the 20th percentile for shoe size among american men, is the saleswoman right or wrong?
It is common to think that the more education anindividual receives, the higher the person's income is likely to be. Does this idea translate to states? The following data represent the percentage of the population that has at least a bachelor s degree and the per capita personal income for a random sample of states. Test the claim that states with a higher percentage of the population with at least a bachelor's degree have a higher per capita personal income at the 0.05 level of significance. Data Percentage of Population with atLeast a Bachelor's Degree Per Capita Personal Income (Dollars) State Arkansas 17.4 24,289 California 29.8 33,749 Iowa 24.6 29,043 Louisiana 22.3 26,100 Maine 23.7 28.831 Nebraska 26.8 30,758 Ohio 25.0 29,944 Oregon 26.4 29.340 Texas 24.7 29,372 Source: Statistical Abstract of the United States, 2004
Aleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?
A survey indicates that 20% of parents use spanking as a discipline strategy. Among those parents who spank, 70% believe a kid should always obey the parent. Among those parent who do not spank, 10% believe a kid should always obey the parent. Which of the following gives the probability that a randomly selected parent believe that a kid should always obey the parent? a) (0.2)(0.7) + (1-0.2)(0.1) b) (0.2)(0.7) + (0.2)(0.2) c) 0.7 + 0.1 d) 0.2 + 0.7

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