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

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Question 575135: find the product of squares of two consecutive odd numbers is 130. find the numbers
Click here to see answer by ikdeep(226)

Question 575155: 10. The Ho and Ha for a given problem are as follows:
Ho: Mean or u = 999
Ha: Mean or u NE 999
This is a two-tailed test.
a. True
b. False
c. Not enough information to make a decision on the direction of the tail.
d. The direction of the tail is decided after the significance level is settled between the researcher and the sponsor of the research.

Click here to see answer by stanbon(57424)

Question 575152: A normal distribution has a mean of 80 and a standard deviation of 14. Compute the probability of a value between 75.0 and 90.0.
a. .2022
b. .3595
c. .4017
d. None of the above

Click here to see answer by stanbon(57424)

Question 575154: 4. The amounts of money requested small business loan applications at GetBuckets Fantake Commercial Savings Bank follows the normal distribution, with a mean of $70,000 and a standard deviation of $20,000. What is the probability that the amount requested is $80,000 or more?
a. .3500
b. .3085
c. .2902
d. .5987
5. Using Problem #4, what is the probability the amount requested is between $65,000 and $80,000?
a. .4500
b. .2902
c. .5987
d. None of the above

Click here to see answer by stanbon(57424)

Question 575156: kindly help me answer this, if two people are selected at random, find the probability that both were born in August.
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Question 575366: A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 600 products, he found 45 defective products.

(a) Find a 99% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.
(b) Interpret this confidence interval and write a sentence that explains it.
Click here to see answer by stanbon(57424)

Question 575325: A jar contains 5 red, 3 green, 2 purple and 4 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a purple and then a red marble?

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Question 575304: Find the probability that when you draw a single card from a well shuffled standard deck of cards, you choose an ace or a club.

Thank you
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Question 575302: 30% students make over $100. If 4 students randomly chosen, what is the probability that none make over $100?
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Question 575291: Show the null and alternative hypothesis that you would use to test against the assumption that people drink 3 cups of coffee on the average
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Question 575081: I am needing help with this homework problem. Statistics just confusing.
An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer. Construct a scatter plot for the data obtained in the experiment.
Run Average Speed Power
x y
1 325.0 1.10
2 348.9 1.40
3 312.9 1.07
4 230.0 0.25
5 269.2 0.64
6 305.0 0.93
Thanks,
Belle
Click here to see answer by KMST(1874)

Question 575451: If they have two children what is the probability they will both be boys

Click here to see answer by solver91311(16897)

Question 575462: When a truckload of apples arruves at a packing plant, a random sample of 250 is selected and examined for bruises, discoloration, and other defects. The whole truckload will be rejected if more than 5% of the sample is unsatisfactory. Although it is not known, in fact 8% of the apples on the truck do not meet the desired standard. What is the probability that the shipment will be accepted anyway?
Click here to see answer by solver91311(16897)

Question 575464: marcus rolls two number cubes labeled 1 through 6 what is the probability of not rolling an even number on the first number cube and of rolling a prime number on the second number cube??
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Question 575509: Student Life did a survey of students in which they asked if the person is
a part-time student or a full-time student. They also asked if the person
had voted in the most recent student election. The results follow:
Part-time Student Full-time Student Row Total
Voted 15 20 35
Did not vote 25 30 55
Column Total 40 50 90
If a student is selected at random from this group of 90 students, find
the probability that :
a) The student voted in the most recent election.
b) The student voted in the most recent election, given that the
student is a part-time student.
c) The student voted in the most recent election and the student
is a part-time student
Click here to see answer by stanbon(57424)

Question 575508: An urn contains 8 balls identical in every respect except color. There are
4 blue balls, 3 red ones and 1 white one. If you draw two balls without replacing the first one, what is the probability that the first ball is red and the second is white?
Click here to see answer by stanbon(57424)

Question 575460: Using the fundamental counting principle what is the outcome of rolling a number cube and tossing a nickel?
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Question 575430: Assume that a sample is drawn and z(α/2) = 1.65 and σ = 35. Answer the following questions:

(A) If the Maximum Error of Estimate is 0.05 for this sample, what would be the sample size?

(B) Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate?

(C) What happens to the Maximum Error of Estimate as the sample size gets larger?

(D) What effect does the answer to C above have to the size of the confidence interval?
Click here to see answer by stanbon(57424)

Question 575425: I am an instructor at a high school and just gave a fifty item multiple choice exam (a,b,c,d). Five students who sit together at a table got the same 8 of the 50 questions wrong. What is the probability of that happening? I want to be able to support the fact that I believe they cheated. Thanks!
Top
Click here to see answer by stanbon(57424)

Question 575575: Thirty percent of lawyers are women. If 100 lawyers are randomly selected, find the probability that 25 or less are women.
Click here to see answer by reviewermath(535)

Question 575610: If 70% of the class passes what is the probability that all three girls will pass?
Click here to see answer by JBarnum(2044)

Question 575605: you flip three coins. What is the probabilty that you get at least two heads, fiven that you get at least one head?
Click here to see answer by richard1234(5390)

Question 575632: You have 10 appitizers, 20 main courses, and 12 desserts with 5 of them sugar free. What is the probability of 3 appitizers, 2 main courses, and 2 desserts in such a way that exactly 1 of the 2 desserts is sugar free?
I was thinking x=1, n=2, p=.417, and q=.583
I need help with this question.
Click here to see answer by josmiceli(9698)

Question 575628: This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make?
Click here to see answer by josmiceli(9698)

Question 575591: How can you use nCr? What are its difference from nPr?
Click here to see answer by stanbon(57424)

Question 575536: What is the probability that two people choices will be greater than 75. choose from 1 to 90
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Question 575646: for each hypothesis listed indicate:
Whether the appropriate analysis would be a one-tailed test or a two-tailed test.
A type I and type II error, given the context of the hypothesis.
Hypothesis:
The three treatments tested differ in how well they work.
Children receiving supportive therapy will get worse over time (at posttreatment).
Girls will do better than boys with treatment (any treatment).

Click here to see answer by stanbon(57424)

Question 575691: . An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 800 hours and standard deviation of 40 hours. Find the probability that a bulb burns between 778 and 834 hours.
Click here to see answer by stanbon(57424)

Question 575676: A single card is selected from an ordinary deck of cards. The sample space is shown in the following figure. Find the following probabilities.
P(5 and a Jack)
P(5 or a Jack)
P(Heart or a Jack)
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Question 575674: 4. A basket contains 3 red,4 white and 7 yellow beads. Three beads are taken at random without replacement. Calculate the probability of getting
i. Three beads of the same colour (2 marks)
ii. At least two white beads (2marks)
iii) A red bead followed by a yellow bead. (3marks)

Click here to see answer by stanbon(57424)

Question 575667: In a certain town, 43% of adults have college degrees. What is theprobability that 10 adults selected at random all have college degrees? Explain please
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Question 575785: Five numbers are chosen between 1 and 13, inclusive, without replacement. What is the probability that all the numbers are even?
Click here to see answer by htmentor(789)

Question 575861: solve for p. p/0.3 - 1 = 5
PLZ help quick
Click here to see answer by jim_thompson5910(28598)

Question 575920: In a large company, there are 3 vice presidents, 15 managers and 1 CEO. If a person is selected at random, find the probability that the person is either the CEO or a manager.
Click here to see answer by jim_thompson5910(28598)

Question 576057: 8.The probability function for the number of insurance policies John will sell to a customer is given by f(x) .5 - (x/6) for x = 0, 1, or 2
a.Is this a valid probability function? Explain your answer.
b.What is the probability that John will sell exactly 2 policies to a customer?
c.What is the probability that John will sell at least 2 policies to a customer?
d.What is the expected number of policies John will sell?
e.What is the variance of the number of policies John will sell?

Click here to see answer by jim_thompson5910(28598)

Question 575827: travis is talking out a loan for $35,000. it is a 10-year loan with an APR of 8.5% . what will his monthly payment be?
Click here to see answer by ankor@dixie-net.com(15667)

Question 576093: 2. A hospital conducts a study of heart-attack victims entering their ER: Half of the patients are given a clot-busting drug, while the other half receive angioplasty. The survival rates are determined, and any side effects are noted.
I. What is the population?
II. What is the sample?
III. Is the study observational or experimental? Justify your answer.
IV. What are the variables?
V. For each of those variables, what level of measurement (nominal, ordinal, interval, or ratio) was used to obtain data from these variables?
Click here to see answer by jim_thompson5910(28598)

Question 576097: Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
(A)
x
1
2
3
4

P(x)
0.01
7/12
1/12
1/4

(B)
x
3
6
8

P(x)
0.24
3/5
0.135

(C)
x
20
30
40
50

P(x)
0.33
0.02
-0.04
0.69

Click here to see answer by jim_thompson5910(28598)

Question 576173: In how many ways can we select a class president from a group of 4 scholars, a secretary from a group of 3 girls and an adviser from a group of 3 professors?
Click here to see answer by chana(69)

Question 576412: Please help me solve this problem:
Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?

Click here to see answer by jim_thompson5910(28598)

Question 576415: Please help solve this problem:
The Pioneer High track coach has a group of nine runners from which to choose a 4-person relay team. How many different 4-person teams can be formed from this group of runners?
Click here to see answer by stanbon(57424)

Question 576419: Please help me solve this problem:
Sheila visits the dentist once per year. After her check-ups, she may choose one toy out of 8 different toys. Over 6 years, how many ways can Sheila choose her toys if she chooses a different toy each year?
Click here to see answer by stanbon(57424)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285