Basic Math question and answers for October 01, 2024
- Q For 100 births, P(exactly 58 girls) = 0.0223 and P(58 or more girls) = 0.067. Is 58 girls in 100 births a significantly high number of girls? Which probability is...
- Q A security guard from a building inspects the visitor's bag before they will be allowed to enter the buildings premises. From their previous records, 3% of people inspected have questionable...
- Q You roll a six-sided die. Find the probability of each of the following scenarios.(a) Rolling a 5 or a number greater than 3(b) Rolling a number less than 5 or...
- Q A geneticist conducts an experiment with beans, one sample of offspring consisted of 444 greenbeans and 161 yellow beans. Based on these results, estimate the probability of getting anoffspring bean...
- Q Let X be a random variable with probabilitydistribution function:f(x) = P(X= x) =where k is a constant.kx,k(6 - x),0,ifififx = 1, 2, 3x = 4,5x = any other integerFind the...
- Q For a certain candy, 15% of the pieces are yellow, 15% are red, 20% are blue, 10% are green, and the rest are brown.a) If you pick a piece at...
- Q A bag contains 12 black, 18 yellow and 30 purple marbles. Joe pays $10 for the opportunity to pick a marble from the bag. If he picks a black marble,...
- Q For the experiment of rolling a single fair die, find the probability of obtaining not greater than 5.The probability of obtaining not greater than 5 is
- Q The heights of adult males in the United States are approximately normallydistributed. The mean height is 70 inches (5 feet, 10 inches) and the standarddeviation is 3 inches. Estimate the...
- Q A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters anda standard deviation of 2.5 centimeters.Question:20% of all parts are below what length?16.0020.0114.2010.00
- Q A jar contains 6 pennies, 3 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of...
- Q Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 2 cameras isselected at random. Define the random variable X as the number...
- Q Mr. Hayes is about to give one of his students a piece of candy for asking a good question in class. He's going to choose the piece of candy at...
- Q You roll a standard 6-sided die. Find the expected value for each experiment.(a) You earn 6 points for each dot on the side that lands up.(b) You earn 6 points...
- Q Four jars of coins each contain 240 coins. The theoretical probability of randomly drawing a quarter is given in simplified form. Find the number of quarters in each jar.
- Q In order to make a little money for the holidays, Marla is raising turkeys. The male of the species she selected has a mean weight of 17 lb at maturity...
- Q a. If two people are selected at random, the probability that they do not have the same birthday (day and month) is 365/365+364/ 365 Explain why this is so. (Ignore...
- Q An ice chest contains 6 cans of apple juice, 4 cans of grape juice, 7 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into...
- Q The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 17 Complete parts (a) through (d) below......a. What...
- Q This exercise is on probabilities and coincidence of shared birthdays. Complete parts (a) through (e) below.*****a. If two people are selected at random, the probability that they do not have...
- Q Troy has a number cube with the numbers 1 through 6 on it. Assuming eachside is equally likely to appear when he rolls the cube, find the followingprobabilities. Note: When...
- Q Consider a political discussion group consisting of 5 Democrats, 7 Republicans, and 4 Independents. Suppose that two group members are randomly selected, insuccession, to attend a political convention. Find the...
- Q 1The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is Complete parts (a) through (d) below.17*****a. What is...
- Q Mrs. Tyler rolls a die each day to see how manypoints the homework will be worth that day.What is the probability that she rolls a 6 onMonday and a number...
- Q 5.2.7-TIn a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and...
- Q The mathematics faculty at a college consists of 12 professors, 5 associate professors, 10 assistant professors, and 11 instructors. If one faculty member is randomlyselected, find the probability of choosing...
- Q According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1,300 Americans results in 143...
- Q I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck arered and 26 are black). Which of the following...
- Q It is equally probable that the pointer on the spinner shown will land on any one of the eight regions, numbered 1 through 8. If the pointer lands on a...
- Q A bag of sweets contains 5 chocolates (C), 10 toffees(T) and 7 licorice(L). Amy takes asweet from the bag and eats it, then selects a second one and eats that....
- Q The mathematics department of a college has 5 male professors, 9 female professors, 13 male teaching assistants, and 9 female teaching assistants. If a person is selected at random from...
- Q Events A and B are independent, P(A) = 0.49 and P(AUB) = 0.83.Find P(An B). Give an exact answer as a fraction in fully simplified form or anapproximate answer as...
- Q Suppose the body mass index (BMI) of a group of athletes has a population mean of 24.98 and a standard deviation of 4.18. If a random sample of 150 athletes...
- Q An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the...
- Q Find the z-scores for which 28% of the distribution's area lies between - z and z.
- Q Your manufacturing plant produces air bags, and it is known that 10% of them are defective. Five air bags are tested.(a) Find the probability that three of them are defective....
- Q Of the 44 plays attributed to a playwright, 14 are comedies, 19 are tragedies, and 11 are histories. If one play is selected at random, find the odds in favor...
- Q Assume that when human resource managers are randomly selected, 48% say jobapplicants should follow up within two weeks. If 9 human resource managers are randomlyselected, find the probability that exactly...
- Q A student takes a multiple choice test with 5 choices in each question out of which only one is correct. The student knows the correct choice for 80% of the...
- Q Find the z-score that has 48.8% of the distribution's area to its left.
- Q You use software to run an hypothesis test. The program tells you that the P-value is P = 0.031.This result issignificant at both the 5% level and 1% level.significant at...
- Q In an IB school 47 students study biology, 53- students study chemistry and 34 students do not study either of these two subjects. There are 109 students in this school....
- Q Use the "at least once" rule to find the probability of the following event. Purchasing at least one winning lottery ticket out of 7 tickets when the probability of winning...
- Q A regular six sided dice is thrown and a card is drawn at random from a pack of 52. What is the probability that the dice shows a 6 and...
- Q According to a poll by The New York Times/CBS, 61% of those polled ranked neither Iraq nor North Korea as the top foreign policy issue. What is the probability that...
- Q The chart below shows the percentage of people in a questionnaire who bought or leased the listed car models and were very satisfied with the experience.Model A ...
- Q Given events A and B with probabilities P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, are A and B independent?yescannot be determinedno
- Q Classify the statement as an example of classical probability, empirical probability, or subjective probability. It is known that the probability of hitting a pothole while driving on a certain road...
- Q According to an article, 14.9% of Internet stocks that entered the market in 1999 ended up trading below their initial offering prices. If you were an investor who purchased three...
- Q Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution...
- Q Suppose a bag contains a set of 10 tiled letters: M, T, O, A, T, P.J.A.K.A You draw a tile from the bag, and record the letter and leave it...
- Q The average number of gallons of Gatorade consumed by the football teamduring a game is 20 with a standard deviation of 3. Assume the variable isnormally distributed. When a game...
- Q We are given that a die is weighted in such a way that each of 1 and 2 is three times as likely to come up as 3, 4, 5,...
- Q The top five countries for moviereleases for a specific year are the United States with471 releases, United Kingdom with 386, Japan with 79,Germany with 316, and France with 132. Choose...
- Q On a shelf at a gaming store, there are two Sony Playstations and five Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that...
- Q Suppose you work for a company thatmanufactures electronics. The developmentanalysts estimate that 1% of their flagship productwill fail within 2 years of the purchase date, with areplacement cost of $...
- Q Find the probability that of 25 randomly selected students, at least two share the same birthday. Round to the nearest thousandth.0.0680.9950.4320.569
- Q The time it takes to preform a task has a continuous uniform distribution between 43 min and 57 min. What is the the probability it takes between 52.1 and 54.9...
- Q A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 26 tablets, then accept the whole batch if there is at...
- Q Decide whether the probability described is theoretical or empirical.While at a casino, Catalina won 1 of the first 19 hands of blackjack she played, so she has a 1/9 chance...
- Q On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5...
- Q Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll...
- Q The average THC content of marijuana sold on the street is 9.6%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content...
- Q Find the indicated area under the standard normal curve.Between z = -2.39 and z = 2.39
- Q The number of ants per acre in the forest is normally distributed with mean 43,000 and standard deviation 12,354. Let X = number of ants in a randomly selected acre...
- Q As the degrees of freedom increase, what distribution does the Student's t distribution become more like?binomialuniformstandard normalchi-square
- Q There were 25 horses performing at a dressage exhibition. Of these, 13 were of Westphalian breed and 2/3 of the remaining horses were of Andalusians breed. - If a horse...
- Q The average height of a certain age group of people is 53 inches. The standard deviation is 4 inches. If the variable is normally distributed, find the probability that a...
- Q A hand consists of 5 cards from a well-shuffled deck of 52 cards.a. Find the total number of possible 5-card poker hands.b. A club flush is a 5-card hand consisting...
- Q When rolling a six-sided die, of which all sides are equally likely, it can be shown that the probability of rolling a multiple of 3 is:2/6 = 1/3 ? 0.3333Explain...
- Q The names of 3 boys and 5 girls are written on cards. The cards are placed in a bowl. Two cards are drawn, one at a time, without replacement. What...
- Q The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant...
- Q The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.6. Assume that the sample is taken from a large...
- Q In a game of dice, each player throws twodice and finds their sum. If the sum is not aprime number, then it is added to the player'sscore. If the sum...
- Q A poll is given, showing 45% are in favor of a new building project. If 4 people are chosen at random, what is the probability that exactly 1 of them...
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