Statistics question and answers for September 24, 2023
- Q Contestants in a game show are each given four pairs of numbers (for example, 1 and 3, 5 and 4, and 6 and 1). A person in the audience is...
- Q A research scientist reports that mice will live a mean of 40 monthswhen their diets are sharply restricted and then enriched with vitaminsand proteins. Assuming that the lifetimes of such...
- Q Psychology experiments sometimes-involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to...
- Q A computer is generating passwords. The computer generates nine characters at random, and each is equally likely to be any of the 26 letters or 10 digits. Replications are allowed....
- Q A fair 6-sided die is rolled four times. What is the probability that the sequence of rolls is 2, 4, 1, 3? Write your answer as a fraction or a...
- Q Pay Your bills: A company audit showed that of 765 bills that were sent out, 420 were paid on time, 159 were paid up to 30 days late, 55 were...
- Q True-false exam: A section of an exam contains four true-false questions. A completed exam paper is selected at random, and the four answers are recorded. Round your answers to four...
- Q Stay in school: In a recent school year in the state of Washington, there were 318,000 high school students. Of these, 156,000 were girls and 162,000 were boys. Among the...
- Q Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P (less than 2). Write...
- Q A student answered 76 out of 100 homework questions correctly on the first try. What percent of homework questions were answered correctly on the first try?The student answered% of homework...
- Q The average time it takes college freshmen to complete the Mason Basic Reasoning Test is 38.3 minutes. The standard deviation is 32 minutes. Assume the variable is normally distributed.Find the...
- Q Are older men shorter than younger men? According to a national report, the mean height for U.S. men is 69.4 inches. In a sample of 117 men between the ages...
- Q Assume that the population standard deviation is o=0.7. If appropriate, perform a hypothesis test at the a=0.01 level to determine whether the mean GPA for business students is less than...
- Q If a police officer pulls over someone for speeding, the police officer can either give a ticket or a warning, so it is impossible for a police officer to give...
- Q If A and B are independent events with P(A) = 0.90 and P(A AND B) = 0.54, find P(B). Give your answer as a decimal rounded to two decimal places.Provide...
- Q Randy wants to either ride share to work or drive his own car to work, but it is impossible for Randy to ride share and drive his own car in...
- Q Suppose that X and Y are two random variables. E(X) = 0, E(Y) = 1, Var(X) =9, Var(Y) = 16, and ?XY = -2. The variance of (X + Y)...
- Q Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.441 probability of landing on heads and a 0.559 probability of landing on tails. If...
- Q The probability that a car has a certain factory defect is 8/25 The probability that a car has a certain factory defect and needs an oil change is 7/50 What...
- Q The number of orders received daily by an online vendor of used CDs is normally distributed with mean 290 and standard deviation 20. The company has to hire extra help...
- Q Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standard deviation 19.(a) Find the probability that a score is from 185 to 210.(b) Find...
- Q Describe the intervals on which the function f(x) = ln |x| is continuous. Are they removable? Graph the function.
- Q Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.Drive-thru Restaurant...
- Q To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are...
- Q There are 5 white balls. 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen randomly. Find the probability of the following events.EVENTS...
- Q Assume birthdays are equally likely to occur on any day of the year, and ignore February 29th. Consider only the month and the day, not the year. Complete parts (a)...
- Q If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the trees are above 82 cm?Select one:a. 3%b. 0.15%C. 0.3%d....
- Q Verify that there exists a function g: R->R such that u = (u, v) = g(x) for the system5xu+ 3yv^4 = 82xy(u - v) = 0near the point (1,1,-1,-1) by...
- Q Consider a 2 x 2 factorial. How many replications are required to estimate the interaction beta to within two units with a 90% confidence interval? Assume that the standard error...
- Q A high school baseball player has a 0.317 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 2 hits in...
- Q Charlie will perform a hypothesis test at the a=0.10 level. Felice will perform the same test at the a=0.05 level.Part 1 of 2If Ho is true, who has a greater...
- Q A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a...
- Q A basketball player completes a free throw 80% of the time. In practice the player goes to the free throw lineand takes 5 shots in a row.a) Make a table...
- Q A bowl contains 3 Red and 4 Green balls. Two balls are selected at random without replacement.a) Make a tree diagram showing all possible outcomes with their probabilities.b) P(RG)c) P(No...
- Q The following data represent the smoking status by level of education for residents 18 years old or older living in a certain country from a random sample of 1016 residents.Complete...
- Q Quality control: A population of 597 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the...
- Q Defective components: A lot of 10 components contains 4 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn...
- Q GED: In a certain high school, the probability that a student drops out is 0.06, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.32. What...
- Q Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn...
- Q More defective components: A lot of 934 components contains 387 that are defective. Two components are drawn at random and tested. Let A be the event that the first component...
- Q How many kids? In a survey 46,068 women were asked how many children they had. The results were as follows.Number of Children Number of Women0 12,5501 74072 11,2723 70134 37825...
- Q Choosing officers: A committee consists of twelve women and eleven men. Four committee members will be chosen as officers.How many different choices are possible?There are different possible choices.
- Q A computer password consists of ten characters. Replications are allowed.(a) How many different passwords are possible if each character may be any lowercase letter or digit? Enter your answer in...
- Q License plates: In a certain state, license plates consist of three digits from 0 to 9 followed by four letters. Assume the numbers and letters are chosen at random. Replicates...
- Q Choosing officers: A committee consists of nine women and seven men. Three committee members will be chosen as officers.How many different choices are possible?There are different possible choices.How many different...
- Q A computer password consists of eight characters. Replications are allowed.(a) How many different passwords are possible if each character may be any lowercase letter or digit? Enter your answer in...
- Q Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.x...
- Q A computer password consists of thirteen characters. Replications are allowed.(a) How many different passwords are possible if each character may be any lowercase letter or digit? Enter your answer in...
- Q Find the probability of rolling a sum of a ten first and then a sum of a two when a pair of dice is rolled twice.1/121/8641/481/432
- Q There are 12 sharpened pencils and 9 dull pencils in a pencil case. If two pencils are taken at random without looking, what is the probability that the second pencil...
- Q You have a bag of 26 letter tiles, each tile containing a single letter from the English alphabet. You also have a two sided coin with heads on one side...
- Q Insurance: An insurance company sells a 1-year term life insurance policy to an 77-year-old woman. The woman pays a premium of $1200. If she dies within 1 year, the company...
- Q Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed...
- Q (e) A computer system requires that passwords contain at least one digit. What is the probability that a valid password will be generated? Round your answer to four decimal places.The...
- Q In a certain country, the true probability of a baby being a boy is 0.533. Among the next six randomly selected births in the country, what is the probability that...
- Q Based on a survey, assume that 29% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly...
- Q For a certain instant lottery game, the odds in favor of a win are given as 23 to 77. Express the indicated degree of likelihood as a probability value between...
- Q Choosing officers: A committee consists of eight women and ten men. Four committee members will be chosen as officers.How many different choices are possible?There are different possible choices.How many different...
- Q When testing for current in a cable with seven color-coded wires, the author used a meter to test five wires at a time. How many different tests are required for...
- Q When testing for current in a cable with eleven color-coded wires, the author used a meter to test three wires at a time. How many different tests are required for...
- Q Google it: According to a report of the Nielsen Company, 60% of internet searches used the Google search engine. Assume that a sample of 23 searches is studied. Round the...
- Q Car inspection: Of all the registered automobiles in Colorado, 5% fail the state emissions test. Twelve automobiles are selected at random to undergo emissions test. Round the answers to at...
- Q Each of two parents has the genotype green/brown, which consists of the pair of alleles that determineeye color, and each parent contributes one of those alleles to a child. Assume...
- Q Blood types: The blood type O negative is called the "universal donor" type, because it is the only blood type that may safely be transfused into any person. Therefore, when...
- Q (a) Make the logarithmic transformations x' log (x) and y'= log (y). Then make a scatter plot of the (x, y) values. Does a linear equation seem to be a...
- Q The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and standard deviation of 2.1 days. Use your graphing calculator to answer...
- Q Sara draws the 10 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card.a. Determine the probability that...
- Q In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student has a brother given...
- Q A computer password consists of fifteen characters. Replications are allowed.
- Q A committee consists of eight women and ten men. Four committee members will be chosen as officers.
- Q 39.8% of consumers believe that cash will be obsolete in the next 20 years. Assume that 7 consumers are randomly selected. Find the probability that fewer than 3 of the...
- Q When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote the event of randomly selecting someone with blue eyes. What does P(MIB)...
- Q A classic counting problem is to determine the number of different ways that the letters of "occurrence" can be arranged. Find that number. If the letters are mixed up in...
- Q In a certain study, the chances of encountering a car crash on the road are stated as "7 in 20." Express the indicated degree of likelihood as a probability value...
- Q Multiple-choice questions each have four 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...
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