# 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 464421: Rank the following data in increasing order and find the position and value of the 46th percentile. Please show all of your work. 2 2 8 8 3 0 7 2 9 5 2 3 Click here to see answer by stanbon(57347)

 Question 464391: of a company's mailing 1.5% are returned because of incorrect or incomplete addresses. in a mailing of 200 pieces, find the probability that some will be returned. Click here to see answer by stanbon(57347)

 Question 464383: a telephone soliciting company obtains an average of 5 orders per 1000 solicitations. if the company reaches 250 potential customers, find the probability of obtaining at least 2 orders. Click here to see answer by stanbon(57347)

 Question 464471: A mandatory high school test is normally distributed with mean 400 and standard deviation 73. A. Find the probability that a randomly chosen student has a score better than 500? B. Find the probability that a randomly chosen student has a score between 350 and 550? C. The top 3% of all students are eligible for a scholarship. What is the minimu score needed to be eligible for the scholarship? Could you please show the exact steps for solving these questions? Thanks in advance! Click here to see answer by edjones(7569)

 Question 464469: Find the probabilities and z scores below. A. P(-1.2 I have .9554-.1151=.8403. Is .8403 the correct answer for this? B. The z score that is below 22.06% of all values? Could you please show me the steps to solving the problem? Thanks in advance! Click here to see answer by edjones(7569)

 Question 464466: 13405   60263   70925   77990   63607   13936   92798   94624   27636   42422 Use the line of random numbers to select the first three students to be used in a control group of an experiment, according to their names and numbers below. 01 James.    10 Frank       19 Greg 02 Matt         11 Jake         20 Tom 03 Steve.      12 Paul         21 Mike 04 Ben          13 Erin          22 Taylor 05 Liz            14 Janice      23 Doug 06 Leila         15 Amanda   24 Andy 07 Emily        16 Prentice 08 Peter        17 Hunter 09Anastasia  18 Albert Click here to see answer by stanbon(57347)

 Question 464526: A CD case contains 10 jazz albums, 4 classical albums and 2 soundtracks. Choose 3 at random to put in a CD changer. What is the probability of selecting 2 jazz albums and 1 classical albums? Click here to see answer by edjones(7569)

 Question 464537: Q1-A certain binomial distibution has mean 4 and varince 3.Find for this distribution, the probability of obtaining (i)exactly two successes (ii)no successes (iii)more than three successes and (iv)lesser than 3 successes> Q2-Assuming the mean height of soliders to be 68.22 inches with a varince of 10.8, (i) find how many soliders in a regiment of 1000 would you expect to be cover 6 feet tall. (ii) find the probability that a solider chosen at random is shorter than 60 inches. Click here to see answer by stanbon(57347)

 Question 464667: a teacher has found that the probability that a student studies for a test is .6, the probability that a student gets a good grade on a test is .7 and the probability that a student gets a good grade on a test is 07 and the probability that both occur is .52. 1. Are these events independent? 2. Given that the student studies, find the probability that the student gets a good grade. 3. Gicen that the student gets a good grade, find the probability that the student studies. Click here to see answer by robertb(4012)

 Question 464648: During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. What is the probability of three calls in five minutes (to 4 decimals) Click here to see answer by robertb(4012)

 Question 464672: the probability that a certain pitcher will throw a strick is .75. what is the probability that he will strick a batter out in three pitches. What is the probability that it takes him four pitches to strick the batter out? What is the probability that he walks the batter? Click here to see answer by jorel1380(2518)
 Question 464672: the probability that a certain pitcher will throw a strick is .75. what is the probability that he will strick a batter out in three pitches. What is the probability that it takes him four pitches to strick the batter out? What is the probability that he walks the batter? Click here to see answer by ewatrrr(10682)

 Question 464685: A university found that 40% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. Compute the probability that two or fewer will withdraw (to 4 decimals). Compute the probability that exactly four will withdraw (to 4 decimals). Compute the probability that more than three will withdraw (to 4 decimals). Click here to see answer by robertb(4012)

 Question 464693: Josh has 4 shirts (white, blue, green, and red) and 4 pairs of socks in the same colors. How many different shirt-sock combinations does he have? Click here to see answer by stanbon(57347)

 Question 464695: Callie is taking art and music as her two electives. There are 4 art teachers and 3 music teachers. How many possible outcomes are there for the two teachers that Callie will have? Click here to see answer by robertb(4012)

 Question 464724: if two dice are rolled, what is the probability of getting a sum of 4 or a sum of 5? Click here to see answer by robertb(4012)

 Question 464770: in a class of 56 students of which 20 are ladies. if two students are picked randomly, i)what is the probability that both are men ii) probability of selecting a man and a lady in any order Click here to see answer by robertb(4012)

 Question 464796: it was found that 25% of all applicants for a position scored less than 160 points on an aptitude test. the standard deviation of the scores was 25. if the distribution score was normally distributed, what was the mean score Click here to see answer by stanbon(57347)

 Question 464654: Need help with this one today guys...like as soon as possible A person spins the ponter and is awarded the amount indicated by the pointer \$2,\$10,\$15 and it cost \$8 to play the game.... determine the expectaion of a person who plays the game and the fair price to play the game show your work step by step for full credit... the spinner is as follows there are 3 parts 1/2 on the left hand side is blue in side is \$2, on the right hand side the top conner is is green and it is \$10 and the bottom right hand conner is \$15 its yellow please help me solve asap...thanks Click here to see answer by stanbon(57347)

 Question 464819: a researcher wishes to try three different techniques to lower blood pressure of individuals with high blood pressure. the subjects were randomly assigned to three groups, first group takes medication, the second group exercises and the third group follows a special diet. after four weeks, the reduction in each person's blood pressure was recorded. using the data below, test at 5% level of significant the claim that there are no difference among the means. Medication Exercise Diet 10 6 5 12 8 9 8 4 12 16 2 8 14 2 4 Click here to see answer by stanbon(57347)

 Question 464849: need help in detail with this problem i need to know this step by step like elementary...step by step so i can understand it here we go.... Essay; show all work. A simple dartboard has three areas... the main board has a radius of 11 inches, there is a circle with a radius of 5 inches, and the bullseye has a radiuls of 3 inches. What is the probability of a random dart landing inside the bulleye? Round tot he nearest thousandth..(hint: use A=pir^2) Click here to see answer by stanbon(57347)

 Question 464848: a student takes a 20 question, multiple choice exam with five choices for each question. if the student is guessing, find the following probabilities getting less than 5 questions right Click here to see answer by stanbon(57347)

 Question 464878: A student must answer ten questions on an exam that contans twenty-five questions. How many ways can this be done? Click here to see answer by stanbon(57347)
 Question 464878: A student must answer ten questions on an exam that contans twenty-five questions. How many ways can this be done? Click here to see answer by solver91311(16885)

 Question 464896: hi need help with this question please. A comunity 5K run will award \$50 to the winner.65 people enter the race, and they each pay an entry fee of \$20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent. please do this in step by step form so i will understand i see similar problems but when it comes to the random number i do not understand where they are getting that information from and i am unable to look at that to work my problem when i don't know where and how they have obtained some of the information. please help asap i have to submit my homework this afternoon...thanks alot Click here to see answer by solver91311(16885)

 Question 464841: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen. Click here to see answer by sudhanshu_kmr(1152)

 Question 464947: There is a choice of 8 entrees, 12 veggies, 5 salads, 15 desserts and 9 drinks. You can choose one from each category. How many different meals could you possibly have? Click here to see answer by edjones(7569)

 Question 464949: If a license plate has 4 letters followed by three numbers, how many license plates can you have if there are no repetitions in the number part and a one or zero cannot be used in the first digit of the number part? It is okay if the letters repeat. Click here to see answer by edjones(7569)

 Question 464944: If the probability of drawing a face card is 0.625, what is the probability of not drawing a face card? Click here to see answer by edjones(7569)

 Question 464941: A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that i. All four will be women ii. At least two will be men? Click here to see answer by edjones(7569)

 Question 464956: In a certain high-risk group, the chance of a person having suffered a heart attack is 70%. If four persons are chosen from the group, find the probability that at least one will have had a heart attack. Click here to see answer by ewatrrr(10682)
 Question 464956: In a certain high-risk group, the chance of a person having suffered a heart attack is 70%. If four persons are chosen from the group, find the probability that at least one will have had a heart attack. Click here to see answer by edjones(7569)

 Question 464846: a student takes a 20 question, multiple choice exam with five choices for each question. if the student is guessing, find the following probabilities getting every question but two wrong Click here to see answer by ewatrrr(10682)

 Question 464945: A student must answer eight questions on an exam that contains fifteen questions. How many ways are there if the student has to answer the first and last questions? Click here to see answer by edjones(7569)

 Question 464973: Forty percent of the general population wear glasses, 12% wear contacts. Of the males, 50% wear glasses and 6% wear contacts, while of the females, 30% wear glasses and 16% wear contacts. What percent of the males wear neither? Click here to see answer by edjones(7569)

 Question 464972: The number of defects in a sample of 20 parts is recorded for quality control purposes; over the last year the number of defects and their occurrence rate has been: 0 defects, 82%; 1 defect, 13%, 2 defects, 4%, 3 defects, 1%. Find the expected number of defects in the next sample of 20 parts. Click here to see answer by edjones(7569)
 Question 464972: The number of defects in a sample of 20 parts is recorded for quality control purposes; over the last year the number of defects and their occurrence rate has been: 0 defects, 82%; 1 defect, 13%, 2 defects, 4%, 3 defects, 1%. Find the expected number of defects in the next sample of 20 parts. Click here to see answer by stanbon(57347)

 Question 464978: A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9.Find the percent of data less than 4.2 Click here to see answer by edjones(7569)

 Question 464976: the number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97 in. long and 5.03 in. long? Click here to see answer by edjones(7569)

 Question 464988: How many ways are there to select a committee to develop a discrete mathematics course at a university if the committee is to consist of four faculty members from the mathematics department and three from the computer science department, if there are 10 faculty members of the mathematics department and 12 of the computer science department? Click here to see answer by edjones(7569)
 Question 464988: How many ways are there to select a committee to develop a discrete mathematics course at a university if the committee is to consist of four faculty members from the mathematics department and three from the computer science department, if there are 10 faculty members of the mathematics department and 12 of the computer science department? Click here to see answer by jorel1380(2518)

 Question 464997: A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that i. All four will be women ii. At least two will be men? Click here to see answer by jorel1380(2518)

 Question 464999: Suppose that there are 1807 students at university. Of these, 453 are taking a course in computer science, 567 are taking a course in mathematics, and 299 are taking a courses in both computer science and mathematics .How many are not taking a course in either computer science or in mathematics? Click here to see answer by jorel1380(2518)

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