Basic Math question and answers for October 04, 2024
- Q A number cube is biased to land on the number 3 about 50% of the time. It is rolled 42 times, and the outcomes are recorded. The least likely result...
- Q A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 2.The probability of rolling a number greater than...
- Q The scores on a certain test are normally distributed with a mean score of 69 and a standard deviation of 4. What is the probability that a sample of 90...
- Q It has been reported that 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of...
- Q A math class has 7 girls and 1 boy in the seventh grade and 2 girls and 6 boys in the eighth grade. The teacher randomly selects a seventh grader...
- Q The probability that a tennis set will go to a tiebreaker is 16%. In 420 randomly selected tennis sets, what is the mean and the standard deviation of the number...
- Q A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient has a 25% chance that...
- Q A standard deck of cards contains 52 cards. One card is selected from the deck.(a) Compute the probability of randomly selecting a club or diamond.(b) Compute the probability of randomly...
- Q A small corporation must appoint four officers (a president, a chief executive officer, a chief operatingofficer, and a chief financial officer). It must also appoint a Strategic Planning Committee with...
- Q You randomly select an integer from 0 to 24 (inclusively) and then randomly select an integer from 0 to 39 (inclusively). What is the probability of selecting an 18 both...
- Q Two number cubes are rolled for two separate events:Event A is the event that the sum of numbers on both cubes is less than 10.Event B is the event that...
- Q 39.9% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected Find the probability that fewer than 3 of the...
- Q Suppose that the probabilities of a customer purchasing 0, 1, or 2 books at a book store are 0.3, 0.2, and 0.5, respectively. What is the expected number of books...
- Q Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as...
- Q Contestants A, B, C, D, E, and F are in a 10K race. How many different ways can a race with 6 runners be completed? (Assume there is no tie.)In...
- Q A produce buyer for a juice company is buying apples. He makes a choice of either New York, Oregon, Washington, or imported apples. For this contract he mustalso choose large...
- Q Given event T1, T2, T3, and D with p(D)=0.05, p(T1|D)=p(~T1|~D)=0.9, p(T2|D)=p(~T2|~D)=0.8, p(T3|D)=0.9 and p(~T3|~D)=1, find p(T1u T2uT3) if p(T?T2)=0.05, p(T?T3)=0.01, and T2 and T3 are mutually exclusive.
- Q A media rental store rented the following number of movie titles in each of these categories: 178 horror, 248 drama, 118 mystery, 326 romance, and 134 comedy. If a person...
- Q Tiles containing the letters for the word "ENCYCLOPEDIA" are placed in a bag. If you reach into the bag and select one tile at random, what are the odds against...
- Q A marble is drawn from a box containing 3 yellow, 5 white, and 13 blue marbles. Find the odds in favor of drawing the following(a) A yellow marble(b) A blue...
- Q You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.0.03130.50000.96880.7500
- Q During a recent year, there were 11.2 million automobile accidents, 5.7 million truck accidents, and 172,000 motorcycle accidents. Find the following probabilities. (a) If one accident is selected at random,...
- Q A single fair die is tossed. Find the odds in favor of rolling a number greater than 1.What are the odds in favor of rolling a number greater than 1?to(Simplify...
- Q A gumball machine has 40 red, 30 white and 10 yellow gumballs in it, and you purchase one gumball at random. What are the odds against getting a yellow gumball?
- Q Find the indicated probability.If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?1/131/215/2611/26
- Q According to a disease control center, 40% of people in a certain country have high blood pressure. If a person in this country is selected at random, determine the odds...
- Q Of the last 75 people who went to the cash register at a department store, 19 had blond hair, 21 had black hair, 30 had brown hair, and 5 had...
- Q From the sample space S={1, 2, 3, 4,..., 15) a single number is to be selected at random. Given event A, that the selected number is even, and event C,...
- Q From the sample space S= {1, 2, 3, 4,..., 15) a single number is to be selected at random. Given event A, that the selected number is even, and event...
- Q A pet store has 9 puppies, including 2 poodles, 2 terriers, and 5 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find...
- Q You are dealt one card from a standard 52-card deck. Find the probability of being dealt a card greater than 5 and less than 10.The probability of being dealt a...
- Q Assume that cans of Coke are filled so that, the actual amounts have a mean of 12 oz andstandard deviation of 0.14 oz. If a random sample of 40 cans...
- Q If three people are selected, find the probability that all three were born in January. Write your answer as a fraction in simplest terms. The probability that all three people...
- Q A produce buyer for a juice company is buying pears. He makes a choice of either Oregon, California, or imported pears. For this contract he must also choose fancyor extra...
- Q A physical therapist is scheduling appointments for the day. She has five worker's comp cases and six Medicare patients awaiting care. If she chooses nine at random for her morning...
- Q A beverage company announced in the last year that 60% of their products had discounts, 70% of their products were sugar-free and 40% were both.What is the portion of products...
- Q Use the Venn diagram to answer the question. In 2016, among the top 100 grossing movies in a particular country, 17 were rated PG-13 and earned over $100 million. The...
- Q In a group of seven Olympic track stars, three are hurdlers. If three track stars are selected at random without replacement, find the probability that they are all hurdlers. Express...
- Q A marble is drawn from a box containing 2 yellow, 3 white, and 19 blue marbles. Find the odds in favor of drawing the following.(a) A yellow marble(b) A blue...
- Q Given events A and B are mutually exclusive events, that is, A and B are mutually exclusive events with P(A)=0.2, P(B)=0.3, find P(A?B).
- Q When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to 36, withtwo...
- Q Given events A and B are events with P(-(A u B))=2/3, we can determine the probability of which other event in the list below has the same probability?ANBAUB-AN-B-Au-B-(ANB)-(-AN-B)-(-Au-B)
- Q In a conference, 75% of the attendees have been to Germany, and 15% of the attendees have been to both England and Germany.What is the probability that a randomly selected...
- Q In a class of 26 students, 17 have a brotherand 12 have a sister. There are 5 studentswho do not have any siblings. What is theprobability that a student has...
- Q The faces of a fair cube are numbered 1through 6; the probability of rolling any numberfrom 1 through 6 is equally likely. If the cubeis rolled twice, what is the...
- Q A species of snakes studied in a certain area in South America has some exceptionally large individuals, for some reason yet unknown to scientists. The weights of the studied population...
- Q Four coins are tossed several times. Which of the following represents the outcome on a coin that may not be fair?1st coin is tossed 50 times and gives 24 heads...
- Q The mean wage at a company is $25 an hour with a standard deviation of $3 an hour. What is the probability that a worker earns between $22 and $34...
- Q Let S be the event that a randomly chosen voter supports the president. Let W be the event that a randomly chosen voter is a woman. Identify the answer which...
- Q among automobiles of a certain make, 23% require service during a one-year warranty period. A dealer sells 87 of these vehicles. a.) Approximate the probability that 25 or fewer of...
- Q If two six-sided dice are rolled, then the sum of the dice is an example of a continuous random variable.truefalse
- Q The duration of a professor's class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professor's class...
- Q A ball is drawn randomly from a jar that contains 3 red balls, 7 white balls, and 4 yellow balls. Find the probability of the given event, and please show...
- Q A poll showed that 59.9% of Americans say they believe that life exists elsewhere in the galaxy.What is the probability of randomly selecting someone who does not believe that life...
- Q A special deck of cards has 5 blue cards, and 3 yellow cards. The blue cards are numbered 1, 2, 3, 4 and 5. The yellow cards are numbered 1,...
- Q A group of people were asked if Marilyn Monroe had an affair with JFK. 467 responded "yes", and 487 responded "no".Find the probability that if a person is chosen at...
- Q Ajar contains 12 red marbles numbered 1 to 12 and 6 blue marbles numbered 1 to 6. A marble is drawn at random from the jar. Find the probability of...
- Q According to a goverment statistics department, 19.8% of women in a country aged 25 years or older have a Bachelor's Degree, 15.8% of women in the country aged 25 years...
- Q A die is rolled 3 times. What is the probability of showing a (n) 2 on every roll?
- Q There are 10 balls in a bag: 5 red, 2 blue, 2 green, and 1 yellow. Answer each question by reporting probability as a simplified fraction, a decimal, or a...
- Q Antibiotic resistance occurs when disease-causing microbes no longer respond to antibiotic drug therapy. Because such resistance is typically genetic and transferred to the next generations of microbes, it is a...
- Q In a test for ESP (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. As...
- Q A modified roulette wheel has 28 slots. One slot is 0, another is 00, and the others are numbered 1 through 26, respectively. You are placing a bet that the...
- Q Blood type AB is somewhat rare in the United States (it is found in 4% of the general population). It is particularly useful for plasma transfusions because this plasma can...
- Q A group of researchers found that the probability of completing a given task was 0.61. They then took a random sample of n = 66 people.(a) What is the value...
- Q Consider a population of size N = 12, 100 with a mean of u 200 and standard deviation of o = 15.Compute the following 2-values for sampling distributions of with...
- Q 10) A newspaper advertises 5 different movies, 3 plays, and 2 baseball games for the weekend. If a couple selects 3 activities, find the probability that they attenda. 2 plays...
- Q The distribution of all Indian River County grapefruit weights is known to be normally distributed with a mean of 296 grams and a standard deviation of 35 grams. Use this...
- Q Sometimes it is easier to figure out the probability that something will not happen than the probability that it will. When finding the probability that something will m happen, you...
- Q On a certain day, a cheese packaging facility packaged 480 units of mozzarella cheese. Some ofthese packages had major flaws, some had minor flaws, and some had both major and...
- Q Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In an andom sample of 3 couples who plan...
- Q If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of...
- Q The distribution of all registered nurses' salaries on the Treasure Coast is known to be normally distributed with a mean of $57, 250 and a standard deviation of $750. Use...
- Q Assume that a national fitness study reports that 15% of millenials exercise daily. Suppose that a researcher surveys a random sample of 200 millenials regarding their daily exercise habits. Assume...
- Q Suppose Kristen is researching failures in the restaurant business. In the city where she lives, the probability that an independent restaurant will fail in the first year is 67%. She...
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