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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1127097: find the arithmatic and geometric means of the series 1,2,4,8,16....2^n .find also harmonic mean

Click here to see answer by MathLover1(20849)

Question 1127311: Explain why this is or is not a probability distribution.
x: 1, 2, 3, 4
P(x): 0.4, 0.3, 0.4, -0.1
Click here to see answer by stanbon(75887)

Question 1127313: What are the critical values that correspond to a 95% confidence level and a sample size of 93?
Click here to see answer by stanbon(75887)

Question 1127168: At the start of the season, two teams are thought to independently have a 40% chance and a 60% chance of making the final. What is the probability that neither team makes the final?
Click here to see answer by greenestamps(13195)

Question 1127159: Suppose a certain game is fair and costs $3 if you lose and has a net payoff of $7 if you win. The only possible outcomes of the game are winning and losing. What is the probability of winning?
Click here to see answer by greenestamps(13195)

Question 1127322: Five percent of the eyeglasses sold at an optical retailer have tinted lenses. Forty pairs of glasses are sold on a particular day and six have tinted lenses. Identify n, p, and x.
Click here to see answer by solver91311(24713)

Question 1127317: The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced:
X 0 1 2 3 4
P(X) 0.35 0.32 0.2 0.071 0.059
Find the following probabilities:
A. An echinacea user has more than one infection per year
B. An echinacea user has no infections per year
C. An echinacea user has between one and three (inclusive) infections per year
Click here to see answer by Boreal(15235)

Question 1127354: Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that none are obese? Enter response as .xxxx
Click here to see answer by Boreal(15235)

Question 1127350: Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between
z
=
−
1.9
z=-1.9
and
z
=
1.9
z=1.9
standard deviations of the mean (or within 1.9 standard deviations of the mean). What percent of the data points will fall in that range?
Click here to see answer by Boreal(15235)

Question 1127355: Approximately 30% of obese patients develop diabetes. If a physician sees 10 patients who are obese, what is the probability that NONE will develop diabetes? Enter response as .xxxx
Click here to see answer by Boreal(15235)

Question 1127359: Which type of statistical test would be best for the following scenario?
How does the average amount of fat consumed per day by the member of the NU Fraternity (n=135) compare to the mean of 93 grams (s=17) for all U.S. College Students?
A. Cannot be determined by information provided
B. A z based test
C. A t based test
D. A binomial probability based test
Click here to see answer by Boreal(15235)

Question 1127107: If the results on a nationally administered introductory statistics exam is normally distributed with a mean of 90 points and a standard deviation of 10 points, determine the following:
a.Describe the graph of this distribution (if you can do so, produce an electronic sketch of the graph to the right, otherwise adequately describe the distribution graph through its shape and horizontal scale values.)
b.Find the z-score for a single exam that had 95 points. Then find the z-score for one with 72 points.
c. If x represents a possible point-score on the exam, find P(x > 109).
d.Find P(75 < x < 110) and give an interpretation of this value
e. What is the minimum number of points one must score on this exam if they want to be in the top 12% of all the scores?

Click here to see answer by Boreal(15235)

Question 1127358: We have conducted a weight loss intervention using 40 volunteers and have measured waist circumference before the intervention and after the intervention. Which type of analysis is more appropriate?
A. Independent samples z-test
B. Independent samples t-test
C. Matched samples t-test
D. Matched samples z-test
Click here to see answer by MathLover1(20849)

Question 1127382: Express the confidence interval
68
%
<
p
<
79.6
%
68% in the form of
�
p
�
M
E
p^�ME
.

Click here to see answer by ikleyn(52750)

Question 1127379: the telemarketing department of a company receives an average of four calls every minute. Find the probability that the department will receive exactly four calls at a randomly selected time
a. exactly four calls at a randomly selected time
b. fewer than 2 calls at a randomly selected time
c. more than 9 calls at a randomly selected time
Click here to see answer by Boreal(15235)

Question 1127319: A math professor notices that scores from a recent exam are normally distributed with a mean of 66 and a standard deviation of 4.
(a) What score do 25% of the students exam scores fall below? Enter your response to 2 decimal places.
Answer:
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A? Enter your response rounded to the nearest INTEGER VALUE.
Answer:

Click here to see answer by stanbon(75887)

Question 1127395: On the average, ten passengers board the elevator of a bldg. every hour, what is the probability that at any randomly selected hour, the elevator will carry:
a. 15 passengers
b. 7-8 passengers
c. more than 20 passengers
Click here to see answer by ikleyn(52750)

Question 1127356: A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 3.9%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians' offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.1%. The researcher's hypothesis, for a level of significance of 5%, should resemble which of the following sets of hypothesis?
A. H0: p > .039; H1: p = .039; alpha= .05
B. H0: p = .039; H2: p > .039; alpha= .05
C. H0: p = .039; H2: p > .039; alpha= .95
D. H0: p > .039; H1: p = .039; alpha= .95

Click here to see answer by jim_thompson5910(35256)

Question 1127398: Express the confidence interval
68
%
<
p
<
79.6
%
68% in the form of
�
p
�
M
E
p^�ME
.

Click here to see answer by ikleyn(52750)

Question 1127418: The weight of a packet of imported biscuits from a shipment is normally distributed with a mean of 500g and a standard deviation of 40g. What percentage of packets of the shipment weigh between 540g and 560g
Click here to see answer by Boreal(15235)

Question 1127402: Suppose that you wish to obtain a 95% con�dence interval for a population mean. The population is normally distributed, the sample size is 20, and the population standard deviation is unknown. The correct procedure to use is the t-interval procedure.
(a) If you mistakenly use the z-interval procedure, will the resulting con�dence interval be too wide or too narrow? Why?
(b) Will the true con�dence level associated with this interval be greater than or less than 95%?
Click here to see answer by Boreal(15235)

Question 1127463: Suppose we want to determine the
(binomial) probability (p) of getting 4
heads in 10 flips of a 2-sided coin. Using
the Binomial Table in the appendix of the
text, what values of n, x, and p would we
use to look up this probability, and what
would be the probability?
Click here to see answer by stanbon(75887)

Question 1127450: If a person can select 6 presents from 17 presents under a Christmas tree, how many different combinations are there?
Click here to see answer by solver91311(24713)

Question 1127498: Given P(E) = 0.43, what is P(E')?
Click here to see answer by ikleyn(52750)

Question 1127108: Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between
z
=
−
1.6
z=-1.6
and
z
=
1.6
z=1.6
standard deviations of the mean (or within 1.6 standard deviations of the mean). What percent of the data points will fall in that range?
Click here to see answer by Boreal(15235)

Question 1127151: a university claims that 60% of its entering freshmen graduate within 5 years. a freshman class of 1100 is monitored for 5 years. at the end of that period it is found that 650 of these freshmen had graduated. what is the probability that we would have found 650 or less of these freshman had graduated by that time if in fact the claim of 60% was correct.
I really just need to know the formula for this.
Click here to see answer by Boreal(15235)

Question 1127552: a student takes a 22 question multiple choice exam with four choices for each question and guesses on each question. Assume the variable is binomial find the probability of guessing at least 7 out of 22 correctly
Click here to see answer by solver91311(24713)

Question 1127559: on a certain day 1/4 of the employees of an office were away on vacation and 1/8 away on official leave.If 270 were present,how many employees compose the office forced?
Click here to see answer by josgarithmetic(39613)

Question 1127589: A box is painted 1/3 red, 1/6 blue and 1/2 white.You toss a pebble in the box and note the color it lands on then you toss another pebble and note that color.What is the probability that one lands on the color blue and the other red.
Click here to see answer by Boreal(15235)

Question 1127222: A wheel bearing factory rejects bearings if they are either oversize or undersize. The
probability that a bearing is oversize is 0.004 while the probability that it is undersize
is 0.01.
(a) Are oversize rejection and undersize rejection events mutually exclusive?
(b) What is the probability that a bearing selected at random is not within size limits?
(c) What is the probability that a bearing selected at random is correctly sized?
Click here to see answer by Boreal(15235)

Question 1127613: Question 1127222: A wheel bearing factory rejects bearings if they are either oversize or undersize. The
probability that a bearing is oversize is 0.004 while the probability that it is undersize
is 0.01.
(a) Are oversize rejection and undersize rejection events mutually exclusive?
(b) What is the probability that a bearing selected at random is not within size limits?
(c) What is the probability that a bearing selected at random is correctly sized?
Answer by Boreal(9352) About Me (Show Source):
You can put this solution on YOUR website!
a. Yes. A bearing can't be both undersize and oversize.
b. The probability is the sum or 0.014 that it is not within size limits.
c. correct size probability is the complement or 0.986
In Question above, bearings are rejected if they are outside size limits. Incorrectly sized
bearings are placed in a bin. If a bearing is selected at random from the rejects bin,
what is the probability that it is undersize?
Click here to see answer by stanbon(75887)

Question 1127622: The probability that an adult possesses a credit card is 0.71. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card is:
Click here to see answer by FrankM(1040)

Question 1127620: The athletic department of a school has 12 full time coaches and 4 of them are female. The director selects two coaches at random from this group. The probability that neither of them is a female is:
Click here to see answer by stanbon(75887)

Question 1127626: A committee of five members is to be randomly selected from a group of nine freshman and seven sophomores. How many different committees of three freshmen and two sophomores can be chosen?
Click here to see answer by stanbon(75887)

Question 1127625: On a bookshelf, there are five different mystery books and six different biographies. How many different sets of four books can Emilio choose if two books must be mystery books and two of the books must be biographies?
Click here to see answer by stanbon(75887)

Question 1127547: Find the two standard scores (z) that correspond to the following. (Enter your answers from smallest to largest. Give your answers correct to two decimal places.)
The middle 75% of a normal distribution is bounded by them
The middle 83% of a normal distribution is bounded by them.
Click here to see answer by stanbon(75887)

Question 1127628: six members of a school's varsity tennis team will march in a parade. How many different ways can the players be lined up if Angela, the team captain, is always at the front of the line?
Click here to see answer by stanbon(75887)

Question 1127674: The reading speed of second grade students in a large city is approximately normal, with a mean of 89 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (e).
(a) What is the probability a randomly selected student in the city will read more than 93 words per minute?
The probability is
0.3446
(Round to four decimal places as needed.)
(b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 93 words per minute?
Click here to see answer by stanbon(75887)

Question 1127714: In a random sample of 2727 people, the mean commute time to work was 33.233.2 minutes and the standard deviation was 7.37.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 9595% confidence interval for the population mean muμ. What is the margin of error of muμ? Interpret the results
Click here to see answer by ikleyn(52750)

Question 1127882: A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver.
What is the best estimate of the percent of the company's computers that require an update to the printer driver?
Click here to see answer by addingup(3677)

Question 1127845: Hello, guys. I desperately need all your help please. I have been trying to do these questions and it's incredibly struggling. Please help me!
For a normally disturbed population with a mean of U= 20 and a standard deviation of o = 5, a sample of N = 25 is drawn.
1. Find the probability of getting a average score greater than 21, (P x bar > 21)
2. Find the probability of getting a average score less than 19, (P x bar < 19)
3. Find the probability of getting a average score between 18 and 21, (P 18 < x bar < 21)
4. Find the average score that will separate out the bottom 80 % of scores.
Please help, I would really appericate it.
Click here to see answer by jim_thompson5910(35256)

Question 1127869: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 1.5 days.
What is the probability of spending more than 4 days in recovery?
Click here to see answer by jim_thompson5910(35256)

Question 1127738: if a permutation of the word "white" is selected at random, find the probability that the permutation
A) begins with a consonant
B) ends with a vowel
C) has the consonants and vowels alternating
please give a explanatiion
Click here to see answer by Edwin McCravy(20054)

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, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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