Basic Math question and answers for September 30, 2024
- Q If the probability that an event will occur is 2/7 then the probability that the event will not occur is 5/7 and the odds in favor of the event occurring...
- Q Suppose that 30% of students go to sleep on time. If a student went to sleep on time, the probability that they felt well rested was 0.80. Further, the probability...
- Q Suppose the length a cat takes a nap (the length of a cat nap) has a population mean of 3 hours, with population standard deviation 1.75 hours. Assume the length...
- Q Harry Potter is at Ollivanders Wand Shop. As we all know, the wand must choose the wizard, so Harry cannot make the choice himself. He interprets the wand selection as...
- Q Let's look back at our bet on either "Aces" or "Boxcars". We win if we roll a sum of 2 for "Aces" ora sum of 12 for "Boxcars". Let's place...
- Q In a race in which six automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
- Q Abdul rolls a fair six-sided die and a fair four-sided die simultaneously. The sample space of all possible outcomes is shown below.Let A be the event that the six-sided die...
- Q Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 18. Use the empirical rule to determine the following.(a) What percentage...
- Q A distribution is given as X~ U(0, 12).Find P(x > 3). (Enter an exact number as an integer, fraction, or decimal.)
- Q According to recent research, 41% of Americans have less than $375 in the bank for an emergency. Let p be the proportion of people who have less than $375 in...
- Q Suppose that the random variables X and Y have the following joint probability density function.f(x, y) = ce^-3x-7y, 0 < y < x.(a) Find P(X < 2, Y < 1/8).(b)...
- Q The weight of a sophisticated running shoe is normally distributed with a mean of 13 ounces. (a) What must the standard deviation of weight be in order for the company...
- Q The organizers of a marathon event estimate thatthe time that it takes for a race participant tofinish the race is normally distributed with amean of 270 minutes and a standard...
- Q Of the cartons produced by a company, 7% have a puncture, 3% have a smashed corner, and 0.7% have both a puncture and a smashed corner.Find the probability that a...
- Q The probability that an event will happen is P(E): 25/31. Find The probability that the event will not happen is
- Q 4) Consider a class of 30 students. The student names are placed in a hat and 4 names are randomly drawn without replacement. a) If the first person drawn was...
- Q With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one...
- Q In a sample of 800 U.S. adults, 205 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. Complete parts (a) through...
- Q Side effects: A new medical procedure produces side effects in 27% of the patients who receive it. In a clinical trial, 80 people undergo the procedure.Cumulative Normal Distribution Table orWhat...
- Q A box contains three cards. On one card there is a sun, on another card there is a question mark, and on the third card there is an apple. Two...
- Q In a certain elementary school, 59% of the students are girls. A sample of 65 students is drawn. Use the Cumulative Normal Distribution Table or technology. Round your answer to...
- Q Let p and q represent the following statements.p: You study hard.q: You graduate with honors.Write the following statement in symbolic form: "You study hard or you don't graduate with honors."To...
- Q QUESTION 8There is 0.99954 probability that a randomly selected 30-year-old male lives through the year. A Fidelity life insurance companycharges $160 for insuring that the male will live through the...
- Q An American roulette wheel has 18 red slots, 18 black slots, and 2 green slots.What is the probability that the ball lands on red, given that the ball does not...
- Q In a survey funded by the University of Washington School of Medicine, 98 of 1,400 adult Seattle residents saidthey did not believe they could come down with a sexually transmitted...
- Q A life insurance company sells a $200,000 1-year term life insurance policy to a 20-year-old female for $150. The probability that thefemale survives the year is 0.999541. Compute the expected...
- Q Experiment: You roll a die.9. P(4)10. P(4 | not 6)11. P(4| even)12. P(4 | greater than 2)13. P(4 | less than 4)14. P(odd)15. P(odd | prime)16. P(odd | 3)17. P(odd...
- Q A life insurance company sells a $130,000 1-year term life insurance policy to a 20-year-old female for $180. The probability that the female survives the year is 0.999212. Compute the...
- Q Battery lifetime is normally distributed for large samples. The mean lifetime is 500 daysand the standard deviation is 61 days.a) Find the distribution by filling in the blanks:X~N()b) Find the...
- Q The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the...
- Q A doctor gives a patient a 90% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient hasa 40% chance that the...
- Q Suppose that the mean systolic blood pressure for women over age seventy is 134 mmHg (millimeters of mercury), with a standarddeviation of 7 mmHg. Suppose that the blood pressures are...
- Q A student is listening to songs that are on his phone. On his phone, he has 10 county songs, 15 Pop songs, 5 R&B songs, 10 rap songs, and 5...
- Q Determine the value of z such that the area between 0 and 2 is 0.4957 and 2 is negative. Round thesolution to two decimal places, as z-values are traditionally rounded.
- Q 41% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence...
- Q Sixty-four percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults andask them whether they believe that life on other...
- Q A random number generator picks a number from 2 to 18 in a uniform manner.Find P(x>7.53)0.6810.6540.6120.692
- Q The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).Overtime hours50 1 2 3 444...
- Q F and H are sets of real numbers defined as follows.F= {x|x?4}H= {x|x>8}Write FUH and FOH using interval notation.If the set is empty, write .
- Q A company prices its tornado insurance using the following assumptions: In any calendar year, there can be at most one tornado.In any calendar year, the probability of a tornado is...
- Q Out of 100 people sampled, 10 had kids. Based on this, construct a 95% confidence interval for the truepopulation proportion of people with kids.Give your answers as decimals, to three...
- Q 23% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find theprobability that the number of adults who...
- Q A history professor decides to give a 20-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses onevery question is...
- Q Guidance Missile System A missile guidance system has seven fail-safe components. The probability of each failing is 0.05. Assume the variable is binomial.Find the following probabilities. Do not round intermediate...
- Q In the game of roulette, a player can place a $6 bet on the number 21 and have a probability of winning. If the metal ball lands on 21, the...
- Q A cooler contains 14 bottles of water and 10 bottles of lemonade.Colleen randomly selects 2 bottles from the cooler without replacement.The probability, as a fraction in simplest terms, that Colleen...
- Q Find the probability using the normal distribution: P (0<z<0.87). Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.P(0<z<0.87) =XS
- Q The 50 yard freestyle times of a college swim team are normally distributed with a mean of 25.05 seconds anda standard deviation of 3.71 seconds. Determine the probability that a...
- Q A frequency distribution is shown below. Complete parts (a) and (b).The number of televisions per household in a small townTelevisions023Households 257241403(a) Use the frequency distribution to construct a probability distribution.P(x)XO-23014411
- Q A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that...
- Q A random number generator is used to select an integer from 1 to 100 (inclusively). What is the probability of selecting the integer 69?The probability is(Type an integer or a...
- Q There are two tests for aptitude in Data Management (and in particular probability). Test A gives a correct result 95% of the time. Test B is accurate 90% of the...
- Q According to the American Red Cross, 9.5% of all Connecticut residents have Type B blood. A random sample of 19 Connecticut residents is taken.X = the number of CT residents...
- Q According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least...
- Q Find the z value that corresponds to the given area in the figure below. Use The Standard Normal Distribution Table and enter the answer to 2 decimal places.(Note: Figure not...
- Q The probability that an event will happen is P(E)=0.38. Find the probability that the event will not happen.The probability that the event will not happen is(Simplify your answer.)
- Q People with type O-negative blood are referred to as universal donors. Although if you give type O-negative blood to any patient, you run the risk of a transfusion reaction due...
- Q You are given a bag of jelly beans. There are 7 red, 8 blue, 4 yellow, and 10 pink. Find the probability of eating 3 yellow jelly beans in a...
- Q One of the problems encountered by corporations in America is finding an adequate number of employees who want to move into management. Recent surveys of workers in America taken by...
- Q at the animal shelter where Miguel volunteers on the weekends, there were three Siamese cats, four tabby cats, eighteen mixed-breed dogs, and five iguanas i heir cages. If a customer...
- Q Average sales for an online textbook distributor were $71.75 per customer per purchase. Assume the sales are normally distributed. If the standard deviation of the amount spent on textbooks is...
- Q Explain why the t-distribution has less spread as the number of degrees of freedom increases.Choose the correct answer below.A. The t-distribution has less spread as the degrees of freedom increase...
- Q When Milo went to register for classes at the last minute, the only classes left to take were eight math courses, five computer science courses, four statistics courses, and six...
- Q A literature teacher will use four books during the semester. The six possible books to use are War and Peace, The Hobbit, The Glass Menagerie, The Old Man and the...
- Q Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds and a standard deviation of 50 seconds....
- Q The replacement times for cell phones are normally distributed with mean 3.1 years and standard deviation 0.8 years. What length of time separates the top 5% of cell phone replacements...
- Q The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 70 women in this age group is selected. What is the probability that...
- Q A box contains green marbles and blue marbles. Yosef shakes the box and randomly draws a marble. He records the color in the table at the right and places the...
- Q The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7 inches. What is the approximate probability that a...
- Q A particular fruit's weights are normally distributed, with a mean of 490 grams and a standard deviation of 35 grams. If you pick one fruit at random, what is the...
- Q A grocery store manager took inventory of all the fruit to decide what needed to be donated. Of the twelve pieces of fruit deemed overripe, four were apples. If the...
- Q Jill is running for student council. Fifty out of the eighty students in the class plan to vote for her. If Jill randomly polls five students, what is the probability...
- Q Consider the data set below.70, 120, 110, 101, 88, 83, 95, 98, 107, 100If the population mean is 100, what is the t-value for the given data set?-0.13-0.38-0.62-2.80
- Q Suppose that on a true/false exam you have no idea at all about the answers to threequestions. You choose answers randomly and therefore have a 50-50 chance of beingcorrect on...
- Q A student picks a random letter from the word "cat" and a random letter from the word "meow."Express answers that are not whole numbers as fractions.a. How many outcomes are...
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