# Questions on Algebra: Probability and statistics answered by real tutors!

Algebra ->  Algebra  -> Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 238363: a student takes a 20 question multiple choice exam with 5 choices for each question and guesses on each question. find the probability of guessing at least 15 out of the 20 correctly. Click here to see answer by stanbon(57219)

 Question 238456: there are 59 marbles in a jar. 21 are orange,15 are purple, and 23 are green.what is the least number of marbles that a blind-folded person must take from the jar to guarantee that be gets at least 2 marbles of each color a) 40 b) 6 c) 38 d) 2 e) 46 Click here to see answer by jsmallt9(3296)

 Question 238550: How do u do these questions: A lot contains 12 items of which 4 are defective. Three items are drawn at random from the lot one after the other. Find the probability p that all three are non-defective. A man visits a couple who have two children. One of the children, a boy, comes into the room. Find probability p that the other is also a boy if (i) the other child is known to be younger (ii) nothing is known about the other child. Click here to see answer by stanbon(57219)

 Question 238620: Assume that 2 cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the following occurs. the second card is a ace, given that the first card was a ace Click here to see answer by stanbon(57219)

 Question 238631: Classical probability. How many possible outcomes exist when rolling two fair dice? What is the probability of rolling a 7? An 11? How did you determine your answers? Click here to see answer by stanbon(57219)

 Question 238624: Standard Normal Distribution Curve 1. Find the area under the standard normal distribution curve: Between z=0 and z=1.89 to the left of z=-0.75 between z=0.24 and z=-1.12 to the left os z=-2.15 and to the right of z=1.62 2. Find the proabilities for each using the standard normal distribution: a capital P (z>0.82) a capital P (1.12 Click here to see answer by stanbon(57219)

 Question 238718: In a piggy bank, there are twice as many dimes as quarters, five times as many nickels as quarters, and twice as many pennies as all other coins combined. It is equally likely that any one of the coins will fall out when the piggy bank is turned upside down. Calculate the probability that either a nickel or a quarter will fall out. Express your solution as a fraction in lowest terms Click here to see answer by stanbon(57219)

 Question 238622: Can you please help with the following binomial distributions!!!!! 1. Apprx 10.3% of americans high school students drop ou bf graduation. Choose 10 students entering school at randon, find the proability a. no more than 2 drop out b. at least 6 graduate c. all 10 stay and graduate 2. The % of couples where both parties are in the labor force is 52.1% choose 5 couples at random and find the proability that none of the couples have both persons working a. more than 3 couples have both persons in the labor force b. fewer than 2 of the couples have both parties working 3. It has been reported that 83% of federal empleyees use email, if a sample of 200 employees is selected find the mean, varience, and standard deviation of the number who use email. Click here to see answer by stanbon(57219)

 Question 238749: Need help to solve this word problem: How many ways can you order a pie when you have 17 alternative toppings which include 4 kinds of cheese, 3 meat toppings, 6 kinds of vegetables and 4 tofu flavoring (each a separate choice for the tofu only). Thanks. Click here to see answer by stanbon(57219)

 Question 238892: A raffle offers (1) first prize of \$1000, (2) second prizes of \$300 and (20) third prizes of \$10. 15,000 tickets were sold for 25 cents each. Find the expected winnings for a person buying 1 ticket. Click here to see answer by stanbon(57219)

 Question 239004: A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted into a box for shipment. To test the mass of the boxes, a few were checked. The mean mass was 9.3kg, the standard deviation 0.23g. How many boxes must the processor sample to be 95% confident that the sample mean does not differ from the population mean by not more than 0.09kg. Click here to see answer by stanbon(57219)

 Question 239061: There are entrees 17 available at a restaurant. From these, Archie is to choose 4 for his party. How many groups of 4 entrees can he choose, assuming that the order of the entrees chosen does not matter? Click here to see answer by Theo(3458)

 Question 239082: A normal population has a mean of 12.2 and a standard deviation of 2.5. a. Compute the z value associated with 14.3. b. What proportion of the population is between 12.2 and 14.3? c. What proportion of the population is less than 10? Click here to see answer by Theo(3458)

 Question 239093: The cost of tuition at Johnson Community College is \$ 200 per credit hour. Each student also has to pay \$90 in fees. Write an equation that shows the relationship between the total cost, C, and the number of credit hours taken, x. Click here to see answer by checkley77(12569)

 Question 239107: Toledo university indicate that 50 percent of student change major in their first year a sample of 100 student 48 change major in their first year. is there a significant decrease in the proportion of student change major in their first year test at .05 significance level Click here to see answer by stanbon(57219)

 Question 239196: For every 210 high school students, there are 5880 people living in the community. If a community has 1325 high school students how many people live in the community? Click here to see answer by rfer(12644)
 Question 239196: For every 210 high school students, there are 5880 people living in the community. If a community has 1325 high school students how many people live in the community? Click here to see answer by checkley77(12569)

 Question 239099: question 1: A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coin turns up tails on both tosses? question 2: Find the probability. If 81% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place? question 3: Suppose P(C) = .048, P(M ∩ C) = .044, and P(M C) = .524. Find the indicated probability. P[(M ∩ C)'] Click here to see answer by stanbon(57219)

 Question 239271: 3. From a deck of 52 ordinary playing cards, two cards are drawn with replacement. Find the probability that both are hearts. Click here to see answer by Photonjohn(42)

 Question 239414: Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is .90. We select four flights from yesterday for study. 1. What is the likelihood all four of the selected flights arrived within 15 minutes of the scheduled time? 2. What is the likelihood that none of the selected flights arrived within 15 minutes of the scheduled time? 3. What is the likelihood at least one of the selected flights did not arrive within 15 minutes of the scheduled time? Click here to see answer by solver91311(16868)

 Question 239740: An initial deposit of \$15,000 is made into an account and monthly deposits of \$5,000 are made thereafter. Interest is pays at 8% per year. Set up a table to show how much money is in the account at the end of each month for the first 5 months Click here to see answer by Theo(3458)

 Question 239789: What is the probability that a randomly selected two-digit number is divisible by at least one of its digits? Express your solution as a simplified common fraction. Click here to see answer by vleith(2825)

 Question 239821: There were 2 colas, 1 ginger ale, 5 cherry sodas, and 4 root beers in the cooler. What is the probability of pulling out a cola? Click here to see answer by checkley77(12569)

 Question 240040: Find the dample size required to estimate the maen age of required drivers in the United States. Assume that we want 95% confidence that the sample mean is within 1/2 yera of the true mean asge of the population. Also assume that the standard deviation of the population is known to be 12 years. Click here to see answer by stanbon(57219)

 Question 239886: from a deck of 52 ordinary playing cards, 2 cards are drawn without replacement. find the probability that both are hearts Click here to see answer by stanbon(57219)

 Question 240002: My favorite CD has 11 songs on it, and I have memorized the songs and the order in which they come. I recently loaded it onto my IPOD to listen to it. I wanted to listen to it in the right order, but I had accidentally set the player to shuffle-play the songs from that album in a random order. Assuming the "next to play" song was always equally likely among the choices not yet played, what is the probability that it will play the correct 5 songs in the correct order so that I don't notice the mistake (until after the fifth song)? Click here to see answer by Alan3354(30958)

 Question 240123: If you want to estimate the mean amount of money spent by car owners on their last car purchase, how many car owners must you survey if you want 95% confidence that your sample mean is in error by no more than \$750?(Assume that the standard deviation of amounts spent on car purchases is 14, 227.) Click here to see answer by stanbon(57219)

 Question 240143: Do the following. (Round the answers to six decimal places.) (a)Find the probability of being dealt an "aces over kings" full house (three aces and two kings). (b)Find the probability of being dealt a full house. Click here to see answer by stanbon(57219)

 Question 240150: In a survey of 745 randomly selected adults, 589 said that it's morally wrong to not report all income on tax returns. Assume that you must conduct a survey to determine the mean income reported on tax returns and you have access to actual tax returns. How many randomly selected tax returns must you survey if you want to be 99% confident that the mean of the sample is within \$500 of the true population? Assume the reported incomes have a standard deviation of \$28,785. Click here to see answer by stanbon(57219)

 Question 240141: Below are weights (in lbs) of glass discarded in one week by randomly selected households. 3.52 8.87 3.99 3.61 2.33 3.21 0.25 4.94 Construct a 95% confidence interval estimate of the mean weight of glass discarded by all households. Click here to see answer by stanbon(57219)

 Question 240261: I have an idea where to start but would appreciate any guidance you can provide. Four hundred people apply for three jobs. 110 of the applicants are women. a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.) (b) If three persons are selected at random, what is the probability that two are women? (Round the answer to six decimal places.) (c) If three persons are selected at random, what is the probability that one is a woman? (Round the answer to six decimal places.) (d) If three persons are selected at random, what is the probability that none is a woman? (Round the answer to six decimal places.) (e) If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why? (Yes),the probabilities indicate the presence of gender discrimination. (No),because in the hiring process all outcomes are not equally likely. Click here to see answer by stanbon(57219)

 Question 240388: English people get a mean of 7 hrs sleep per night. A random sample of 36 students revealed the number of 6.5 hrs sleep per night. The standard deviation of the sample was 1.2 hrs. Is it reasonable to conclude that the students sleep less than english people. Set up your hyptheses and test it with 5% level of significance Click here to see answer by stanbon(57219)

 Question 240385: Normal distribution A mean amount of profit per car sold for a sample of 25 dealers was 290\$, with a standard deviation of 100\$ Develop a 90% Confidence interval for th epopulation mean? Click here to see answer by stanbon(57219)

 Question 240348: A pizza pub is open 7 days a week. The manager allows each of the three employees to select one day off a week. That is the probability all 3 select the same day given that all 3 select a day beginning with the same letter. Click here to see answer by stanbon(57219)

 Question 240434: A bag contains 6 marbles Three red marbles two blue marbles and one white marble If two marbles are selected at random determine the probability that both are red? Click here to see answer by stanbon(57219)

 Question 240241: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of six cars: What is the probability that 10 of the selected policyholders submitted a claim last year? What is the probability that 10 or more of the selected policyholders submitted a claim last year? What is the probability that more than 10 of the selected policyholders submitted a claim last year? Click here to see answer by stanbon(57219)

 Question 240502: A party host gives a door prize to one guest chosen at random. There are 47 men and 40 women at the party. What is the probability that the prize goes to a woman? 1. glenbenn50@yahoo.com Click here to see answer by jim_thompson5910(28476)