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

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

 Question 283814: A jar contains 13 marbles, 3 red, 4 white, and 6 blue. Two marbles are drawn without replacement.What is the probability that they are the same color? a) 4/13 b) 9/13 c) 10/13 d) None of a, b, or c. Click here to see answer by checkley77(12569)
 Question 283814: A jar contains 13 marbles, 3 red, 4 white, and 6 blue. Two marbles are drawn without replacement.What is the probability that they are the same color? a) 4/13 b) 9/13 c) 10/13 d) None of a, b, or c. Click here to see answer by stanbon(57953)

 Question 283811: Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week. a) Find the probability that the site gets 10 or more hits per week. b) Determine the probability that the site gets 20 or more hits in two weeks. Click here to see answer by stanbon(57953)

 Question 283898: A population consists of the following five values: 2,2,4,4,and 8. a. list all samples of size 2, and compute the mean of each sample. b. Compute the mean of the disbribution of sample means and the population mean. compare the two values. c. Compare the dispersion in the population with that of the sample mean. This chapter of my homework was not explained to me. I don't know where to start. I understand the mean and population formula, but I don't understand how to put it all together. If you can help, that would be great. Thank you. Click here to see answer by stanbon(57953)

 Question 283907: what is the probability of choosing a queen from a standard deck of playing cards? Click here to see answer by stanbon(57953)
 Question 283907: what is the probability of choosing a queen from a standard deck of playing cards? Click here to see answer by richwmiller(9144)

 Question 283906: In a shipment of 50 televisions, 5 are defective. If 2 television sets are randomly selected and tested without replacement, what is the probability that both are defective? Click here to see answer by brucewill(101)

 Question 283908: Twodice are rolled. Find the probability of getting a sum of 8. Click here to see answer by stanbon(57953)

 Question 283911: what is the probability of choosing a ten or a jack from a standard deck of 52 playing cards? Click here to see answer by brucewill(101)

 Question 283905: A poll found that 23% of the workers at the company live outside city limits. If 4 workers are selected at random, what is the probability that at least one worker lives outside city limits? Click here to see answer by stanbon(57953)

 Question 283904: A container has 6 blue marbles, 2 red marbles, and 3 green marbles. If 3 marbles are drawn with replacement, what is the probability that all three will be blue? Click here to see answer by richwmiller(9144)
 Question 283904: A container has 6 blue marbles, 2 red marbles, and 3 green marbles. If 3 marbles are drawn with replacement, what is the probability that all three will be blue? Click here to see answer by brucewill(101)

 Question 283982: Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. drawing the King of Hearts out of a standard 52 card deck given it’s a face card. (Aces are not face cards.) rolling a total of 3 on two fair six sided dice rolling a total of 5 on two fair six sided dice drawing a queen out of a standard 52 card deck given it’s a face card.(Aces are not face cards.) rolling a total of 4 on two fair six sided dice Click here to see answer by richwmiller(9144)

 Question 284003: an urn contains 12 balls identical in every respect except color. there are 3 red balls, 7 green balls, and 2 blue balls. you draw two balls from the urn but replace the first ball before drawing the second. find the probability that the first ball is red and the second is green. Click here to see answer by checkley77(12569)

 Question 284068: a coin is flipped 682 times. how many times would you expect to flip a tails? Click here to see answer by richwmiller(9144)

 Question 284072: In New York's Millennium Millions Lottery game, five numbers from 1 to 50 and one number for the Big Millennium Ball from 1 to 30 must be selected. In how many ways can these 6 numbers be selected? Click here to see answer by solver91311(17070)

 Question 284076: The access code for a car's security system consists of four digits. Each digit can be 0 through 9. How many access codes are possible if: A) each digit can be used only once and not repeated B)each digit can be repeated Click here to see answer by checkley77(12569)

 Question 283956: a teacher gives four students their written papers randomly what is the probability that : 1- each one gets his own paper? 2- the first one gets his own paper? 3- 2 of them get their own papers? 4- no one gets his own paper ? Click here to see answer by edjones(7569)

 Question 284093: if a number cube is rolled rolled 270 times how many times does a 3 or 5 get rolled? Click here to see answer by edjones(7569)

 Question 284150: A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that the proposal wins by a vote of 6 to 3? Click here to see answer by edjones(7569)

 Question 284278: A survey of publishing jobs indicates that 92 percent are completed on time. Assume that three jobs are selected for study. a. What is the probability they are all completed on time? b. What is the probability that at least one was not completed on time? Click here to see answer by edjones(7569)

 Question 284276: How many ways can a president and vice president be selected in a class of twenty-one students? Click here to see answer by edjones(7569)

 Question 284275: Last fall, a gardener planted 62 iris bulbs. She found that only 48 of the bulbs bloomed in the spring. Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she would like at least 53 to bloom? I believe the first part is 48/62 but the 2nd not sure of Click here to see answer by edjones(7569)

 Question 284290: If I reach into a bag containing 21 red balls, 16white balls, and 38 green balls, what is the probability that I will randomly pull out a red ball? A 21/53 b 7/25 c 1/3 d 1/21 e 21/3 Click here to see answer by Theo(3504)

 Question 284286: Marketing researchers prepared an advance notification card announcing an upcoming mail survey and describing the purpose of their research. Half the target customers received the prenotification, followed by the survey. The other half received only the survey. The survey return rates are shown below. Research question: At α = .025, is return rate independent of prenotification? Pre Notified Returned Not Returned Row Total Yes 39 155 194 No 22 170 192 Col Total 61 325 386 I appreciate the help... Thanks Click here to see answer by stanbon(57953)

 Question 284322: There are 20 multiple choice questions on a test. Each questions has 4 possible choices a,b,c,d. The correct answers have been assingned at random. Use a simulation to find the probability that choice b is correct answer for each question. Click here to see answer by stanbon(57953)

 Question 284319: You are involved in the evaluation of viewership of television shows for your local TV station. You have been tasked to establish a 95% confidence interval for the proportion of viewers that recently watched an episode of a show called 'CSI Phoenix'. You have randomly queried 400 local adults and determined that 150 of them watched the last episode of the show. >> create a 95% confidence interval for the proportion of folks in the population that viewed the show (remember -- confidence intervals ... have lower and upper bounds) Click here to see answer by stanbon(57953)

 Question 284157: A survey of 1084 men age 18 & older in 1998 for the Commonwealth Fund indicated that more than half did not have a physical exam or a blood cholesterol test in the past year. A medical researcher plans to sample men in her community randomly to see if similar results occur. How large a random sample would she need to estimate this proportion to within .05 with probability 0.95? Click here to see answer by stanbon(57953)

 Question 284337: A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted? Click here to see answer by stanbon(57953)

 Question 284332: How many ways can an IRS auditor select 4 of 12 tax returns for an audit? Click here to see answer by stanbon(57953)

 Question 284362: 6. A machine produces 9 inch latex gloves. A sample of 81 gloves is selected, and it is found that 37 are shorter than they should be. Find the 99% confidence interval on the proportion of all such gloves that are shorter than 9 inches Click here to see answer by stanbon(57953)

 Question 284355: the probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 10. Find the mean for the number of seeds germinating in each batch. Click here to see answer by brucewill(101)

 Question 284397: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? Noise Level Climb Cruise Descent Row Total Low 6 2 6 14 Medium 18 3 8 29 High 1 3 14 18 ================================================ Col Total 25 8 28 61 Click here to see answer by stanbon(57953)

 Question 284404: In a lottery, players win a large prize when they pick four digits that match, in the correct order. A smaller prize is won if only three digits are matched. What is the probability that a player wins the large prize? What is the probability that a player wins the small prize? Click here to see answer by stanbon(57953)

 Question 284583: 13. What is the probability that exactly eight 0 bits are generated when 10 bits are generated with the probability that a 0 bit generated is 0.9., the probability that a 1 bit is generated is 0.1, and the bits are generated independently? Click here to see answer by solver91311(17070)

 Question 284627: Suppose that an urn contains 3 green marbles, 11 black marbles, and 6 yellow marbles. If one marble is selected, determine the probability that it is black. Here is my solution: 3 + 11 + 6 = 20 black marbles = 11 answer: 11/20. Click here to see answer by richwmiller(9144)

 Question 284633: What is the probability of obtaining 4 ones in a row when rolling a fair, six-sided die? Interpret this probability. Click here to see answer by rfer(12726)

 Question 284714: a couple has 3 children. find the probability that the couple has at least one of each gender Click here to see answer by stanbon(57953)

 Question 284762: assuming that the weights of a newborn babies at a certain hospital are normally distributed with mean 6.5 pounds and standard deviation 1.2 pounds, how many babies in a group of 80 babies from this hospital will weigh more than 8.9 pounds? Click here to see answer by stanbon(57953)

 Question 284767: The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken from the batch. Suppose the batch contains 5% defective batteries. What is the probability that the batch will be accepted? Click here to see answer by stanbon(57953)

 Question 284766: Willard has just been given a ten-question mulitiple choice test in one of his classes. Each question has five answers only one of which is correct. Since Willard has not attended class recently, he does not know any of the answers. Assume that Willard guesses randomly on all ten questions. Find the probability that he will answer, at most, 3 questions correctly? Click here to see answer by stanbon(57953)

 Question 284973: If a license plate has 5 digits, and each digit is either 2,4, or 6, how many different license plates can match this description? Click here to see answer by checkley77(12569)

 Question 285032: A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows: 5.01 5.00 4.93 4.95 4.98 5.05 5.01 5.05 4.97 5.08 5.03 4.91 Assuming that = 0.05, test the hypothesis that the population mean is equal to 5. · State the null and alternate hypotheses · Calculate the mean and standard deviation · Determine which test statistic applies, and calculate it · Determine the critical value(s). · State your decision: Should the null hypothesis be rejected? I TRIED LOOKING FOR THE NULL AND ALTERNATE HYPOTHESIS HO: U < 5 Ha: U > 5 N = 12 WHEN I CALCULATE THE MEAN AND WITH THE STANDARD DEVIATION SHOUL I GO THROUGH THE VARIENCE THEN GO TO THE FORMULA FOR THE STANDARD DEVIATION. Click here to see answer by stanbon(57953)

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