# 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 481138: Sam has a bucket of blocks. He has 3 yellow blocks, 10 blue blocks, 6 green blocks, 8 red blocks, and 3 purple blocks. What is the probability he picks a red block? Click here to see answer by ewatrrr(10682)
 Question 481138: Sam has a bucket of blocks. He has 3 yellow blocks, 10 blue blocks, 6 green blocks, 8 red blocks, and 3 purple blocks. What is the probability he picks a red block? Click here to see answer by bucky(2189)

 Question 481174: Suppose 2 quarters, 9 dimes, and 8 nickels, and 8 pennies are in a box. One coin is selected at random. What is the expected value of this experiement? Thank you Click here to see answer by ewatrrr(10682)

 Question 481170: An executive committee consists of 15 members, 7 men and 8 women. 4 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 4 selected are women. Thank you Click here to see answer by ewatrrr(10682)

 Question 481171: The Eighth grade class at a grade school has 9 girls and 11 boys.How many different boy-girl dates can be arranged. Thank you Click here to see answer by Edwin McCravy(8909)

 Question 481212: Persons A and B .Person A picks a random no from 1 to 1000.Then person B picks a random no from 1 to 1000.What is the probability of B getting a no greater than A ? Click here to see answer by richard1234(5390)

 Question 481284: there are 6 people on the ballot for regional judges. voters can vote for any 4. voters can vote for 0,1,2,2,4 judges. in how many different ways can a person vote thank you for your help Click here to see answer by stanbon(57361)

 Question 481265: An automobile assembly line operation has a scheduled mean completion time of 14.7 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 80 completion times under new management was taken. The sample had a mean of 14.2 minutes. Can we support, at the 0.01 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. The value of the test statistic (round to at least 3 decicmal places)? The p-value(round to at least 3 decimal places)? Click here to see answer by stanbon(57361)

 Question 481260: Hypothesis Test- (1 sample/2 Tail) Conduct a 7-step Hypothesis Test to determine if the year-end bonus is different from the reported mean. Known Information: u= 125500 x with line over top= 118000 s= 30000 n= 40 I need to see the 7 steps on paper and how you would figure that on Excel. Click here to see answer by stanbon(57361)

 Question 480666: Find the area under the standard normal curve: I. to the right of z = 1.06 II. to the left of z = 1.06 Thank you Click here to see answer by richard1234(5390)

 Question 481453: Answer the following: (A) Find the binomial probability P(x = 5), where n = 14 and p = 0.70. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 5) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations Thanks Click here to see answer by stanbon(57361)

 Question 481450: Find the value of z such that approximately 13.68% of the distribution lies between it and the mean. Thanks Click here to see answer by stanbon(57361)

 Question 481448: Given a binomial distribution with n = 23 and p = 0.78, would the normal distribution provide a reasonable approximation? Why or why not? Thank you Click here to see answer by stanbon(57361)

 Question 481422: - 42% teen smoke cigarettes - 53% of all smokers are female - 45% of all non-smoker are female - What the probability of selecting a female, and she doesn’t smoke Click here to see answer by stanbon(57361)
 Question 481422: - 42% teen smoke cigarettes - 53% of all smokers are female - 45% of all non-smoker are female - What the probability of selecting a female, and she doesn’t smoke Click here to see answer by Edwin McCravy(8909)

 Question 481474: pls help me solve this problem in probability... thank you.. a ring of keys can hold 7 keys. In how many ways can the keys be arranged if the ring can be turned over? Click here to see answer by Theo(3464)

 Question 481599: SUPPOSE A DESIGNER HAS A PALETTE OF 16 COLORS TO WORK WITH, AND WANTS TO DESIGN A FLAG WITH 5 VERTICAL STRIPES. HOW MANY POSSIBLE FLAGS CAN BE CREATED. Click here to see answer by jorel1380(2518)

 Question 452227: The following data represent the actual amount of soda in a sample of fifty 2-liter bottles. You are in charge of production and must assure that the bottles don't have too much or too little in them. At the 0.05 level of significance, is there evidence to suggest that the mean amount of soda filled is different from 2.0 liters? Q-1a: State the null hypothesis. Q-1b: State the alternate hypothesis. Q-1c: Perform the hypothesis test and state your conclusions and evidence Amount 1.973 1.996 2.109 1.957 1.941 1.981 2.012 1.894 1.969 2.086 1.999 2.014 2.029 1.966 2.052 1.938 1.963 1.992 2.010 2.015 2.005 2.031 1.951 1.951 2.023 2.038 2.075 1.967 2.003 1.971 1.997 2.012 2.065 1.941 2.012 2.057 1.908 2.025 1.994 2.036 2.066 1.984 1.986 2.020 2.044 2.013 2.014 1.975 1.947 2.029 Click here to see answer by pdejesus(1)

 Question 481561: A fair coin is tossed 7 times. What is the probability of obtaining exactly 4 heads? Click here to see answer by Edwin McCravy(8909)

 Question 481637: Rank the following data in increasing order and find the position and value of the 39th percentile. Please show all of your work. 5 5 0 0 9 6 8 9 2 6 3 8 Click here to see answer by stanbon(57361)

 Question 481635: A Math test has a mean of 35 and standard deviation of 18.0. Find the corresponding z scores for: I. a test score of 34 II. a test score of 71 Click here to see answer by stanbon(57361)

 Question 481560: A botanist wants to grow a rare plant in his green house. The probability that a give bulb will mature is .42. Suppose 6 bulbs are planted. What is the probability that 3 or more bulbs will mature? Click here to see answer by stanbon(57361)

 Question 481545: Two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime? The first is labeled 1,3,5 (equally sectored in 3 parts). Second Spinner is labeled 2,4,6 (also sectored in the 3 equal parts). Click here to see answer by stanbon(57361)

 Question 481510: 14. On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the Z scores for persons who score (a) 340, (b) 310, and (c) 260. Give the raw scores for persons whose Z scores on this test are (d) 2.4, (e) 1.5, (f) 0, and (g) –4.5. Click here to see answer by stanbon(57361)

 Question 481659: In terms of the mean and standard deviation: -What does it mean to say that a particular value of x has a standard score of +1.2? -What does it mean to say that a particular value of x has a z-score of -2.1? Click here to see answer by stanbon(57361)

 Question 481639: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85. Please show all of your work. Click here to see answer by Edwin McCravy(8909)
 Question 481639: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85. Please show all of your work. Click here to see answer by MathTherapy(1425)

 Question 481668: In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Rainfall; Crop yield II. Prescription dosage; Weight of child III. Ability to concentrate; Level of fatigue IV. DNA of parents; DNA of offspring Click here to see answer by stanbon(57361)

 Question 481698: Help me solve the equation: z=x - m(45)= over a/sqroot n+ Click here to see answer by stanbon(57361)

 Question 481705: n is between 6 and 10 inclusive. I am not sure how to solve this. Thanks! Click here to see answer by stanbon(57361)

 Question 481704: n is between 6 and 10 inclusive. I am not sure how to solve this. Thanks Click here to see answer by richard1234(5390)

 Question 481760: A natural number is selected from 1 to 1000 at random. The probability that a particular non zero digit appears at once is Click here to see answer by stanbon(57361)

 Question 481825: Hi I start then get lost, please help. Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work. Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work. Errors Frequency 76-78 12 79-81 25 82-84 6 85-87 25 88-90 10 Click here to see answer by stanbon(57361)

 Question 481827: Starting with the data values 70 and 100, add three data values to the sample so that the mean is 74, the median is 85, and the mode is 85. Click here to see answer by Edwin McCravy(8909)

 Question 481857: Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out randomly and sent to a customer for an inspection, in how many ways can the customer find at least 1 defective set? Click here to see answer by stanbon(57361)

 Question 481858: Package of 10 game boy sets contains 2 defective sets. If 5 sets are to be picked out randomly and sent to a customer for an inspection, in how many ways can the customer find at least 1 defective set? Click here to see answer by stanbon(57361)

 Question 481853: The chart below gives the number of vehicle tags sold in each city. City / Number of Vehicle Tags Sold --------------------------------------------------------- Bristol / 1,863 Trevor / 3507 Camp Lake / 2,457 Salem / 1773 Paddock Lake / 2,541 One car is selected at random from the cars with vehicle tags from these cities. What is the probability that this car is from Salem? Please help me!Thanks a lot! Click here to see answer by stanbon(57361)

 Question 481882: Suppose we have a set of blood pressures with a mean of 120 Systolic, and a sample standard deviation of 12 points. If we assume a normal distribution of Systolic blood pressures, then between what two values can we be assured 99.7% of all Systolic blood pressures will lie? Please show all work Click here to see answer by ewatrrr(10682)

 Question 481880: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 16? Show all work as to how this is obtained. Click here to see answer by ewatrrr(10682)

 Question 481883: If a family has 3 children, find the probability that there is at least 1 boy among the children Click here to see answer by solver91311(16897)

 Question 481807: a group of office workers take part in the lottery they each pay £4.50,£6.00,£3.00 and £4.50 for their group entry if they win they split the winnings in the ratio of their weekly contributions when they win one week, two of the workers recieve£26 154 each how much did the group win in total Click here to see answer by stanbon(57361)

 Question 481884: A student scored 34 percent on a test, and was in the 20th percentile. Explain these two numbers. Click here to see answer by stanbon(57361)

 Question 481957: Ten students are being interviewed for a class office. Six of them are female and four are male. Their names are all placed in a box and two students are selected for the interviews. a. What is the probability that both of those selected are female? b. What is the probability that at least one is male? Click here to see answer by stanbon(57361)

 Question 481946: How many numbers less than 300 can be formed from the digits 1,2,3,4 and 5 a) If repetitions are not allowed? b) repetitions are allowed? Click here to see answer by stanbon(57361)

 Question 481967: A fair coin is tossed four times. What is the probability of obtaining a head on the first toss and tails on each of the other tosses? Click here to see answer by Alan3354(30993)

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