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

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

Question 1108465: If x, y can take values from the set {1,2,3,4}, find the probability that the product of x and y is not greater than 6.
Click here to see answer by rothauserc(4718)

Question 1108481: There are four people lining up for a bus ride but only two of them are willing to take the first position. with this constraint, in how many ways can the four people be seated on the bus?
Click here to see answer by stanbon(75887)

Question 1108488: A company manufactures calculators in batches of 64 and there is a 5% rate of defects. Find the probability of getting exactly three defects in a a batch.
Click here to see answer by stanbon(75887)

Question 1108480: the probability that a doctor diagnoses a particular illness is 0.7. given that the doctor makes an incorrect diagnoses, the probability that the patient enters a lawsuit is 0.9. what is the probability that the doctor makes an incorrect diagnoses and the patient sues?
Click here to see answer by stanbon(75887)

Question 1108554: The mean of the numbers 1.2 1.0 0.9 1.4 0.8 0.8 1.2 and 1.1is
Click here to see answer by Alan3354(69443)

Question 1108558: An urn contains balls that are numbered 6, 7, 8, and 9. If an even number is drawn then a coin is tossed. If an odd number is drawn, a die is rolled. How many outcomes are possible?
Click here to see answer by Edwin McCravy(20054)

Question 1108562: Six students are lining up for flag ceremony. If three persons insist on standing next to each other, how many ways can the six students arrange themselves?
Click here to see answer by josmiceli(19441)

Question 1108559: To play a certain raffle, you select six numbers from 1 to 42. You win the grand prize if your six numbers match the six winning numbers drawn. a. How many possible combinations are there?
Click here to see answer by math_helper(2461)

Question 1108503: If three numbers from 100 to 999 are chosen at random, one at a time, find the probability that they will be chosen in increasing order.
Click here to see answer by ikleyn(52750)

Question 1108587: the table shows the transportation method used by the employees in an office. what is the probability that the next two employees that join the office staff will take the bus?
Table: transportation number
Car 18
Bus 6
Walk 6
A.0.04
B.0.12
C.0.33
D.0.36
Click here to see answer by ikleyn(52750)

Question 1108557: An urn contains balls that are numbered 6, 7, 8, and 9. If an even number is drawn then a coin is tossed. If an odd number is drawn, a die is rolled. How many outcomes are possible?
Click here to see answer by Boreal(15235)

Question 1108599: what is the probability of drawing a heart or a non-face card?
I tried:
13/52 + 40/52 - 27/52 and got 26/52 or 1/2 but it doesn't seem right
Click here to see answer by KMST(5328)

Question 1108560: In how many ways can seven different colored balloons be distributed to four children if the first child will receive three balloons, the second two, and the third and fourth will receive only one balloon each?
Click here to see answer by KMST(5328)

Question 1108510: In a random sample of 40 batteries, what is the probability that none have defects? Round your answer to four decimal positions.
Click here to see answer by Alan3354(69443)

Question 1108510: In a random sample of 40 batteries, what is the probability that none have defects? Round your answer to four decimal positions.
Click here to see answer by ikleyn(52750)

Question 1108509: In a random sample of 40 batteries, what is the probability that at least 10% of them are defective? Round to four decimal positions.
Click here to see answer by Alan3354(69443)

Question 1108609: (I only need help on 3 and 4)
Tanker trucks are designed to carry huge quantities of gasoline from refineries to filling stations. A factory that manufactures the tank of the trucks claims to manufacture tanks with a capacity of 8550 gallons of gasoline. The actual capacity of the tanks is normally distributed with mean μ=8544 gallons and standard deviation σ=12 gallons.
1) Find the z-score corresponding to a tank with a capacity of 8550 gallons. Round your answer to one decimal place. =.5
2)What is the probability that a randomly selected tank will have a capacity of less than 8550 gallons? =.691
3)A simple random sample of n = 20 tanks will be selected. Find the z-score corresponding to a sample mean capacity for 20 tanks of 8550. Round your answer to three decimal places. =?
4)A simple random sample of n = 50 tanks will be selected. What is the probability that the mean capacity for these 50 tanks will be greater than 8540 gallons? Round your answer to three decimal places. =?
Click here to see answer by stanbon(75887)

Question 1108496: The numbers from 1 to 11 are randomly chosen one at a time, without
replacement. Find the probability that the even numbers will be all
drawn out before the odd.
Click here to see answer by Edwin McCravy(20054)

Question 1108677: An elevator with two passengers stops at the second, third, and
fourth floors. If it is equally likely that a passenger gets off
at any of the three floors, what is the probability that the
passengers get off at different floors?
Click here to see answer by Edwin McCravy(20054)

Question 1108679: A couple has four children. Let E be the event that the couple has at least two sons, and F the event that the couple has exactly two daughters. Find the intersection and union of two events
Click here to see answer by math_helper(2461)

Question 1108700: suppose you roll a 10-sided die with sides marked with numbers 0 to 9. If you continued to roll and recorded the outcomes, what do you think the probability would be that at some point you see 10 digits in a row that make up your phone number..explain
Click here to see answer by Boreal(15235)

Question 1108717: Goliath and David play a game in which there are no ties. Each player is equally likely to win each game. The first player to win 4 games becomes the champions and no further games are played. Goliath wins the first 2 games. What is the probability that David becomes the champion ?
Click here to see answer by rothauserc(4718)

Question 1108842: A single fair 6-sided die is rolled, and the events E and F are as follows: E={An even number shows} F={A number greater than 3 shows}. Find �the probability of event E OR event F occurring�, P(E U F).
Click here to see answer by bhoopal624(2)

Question 1108889: If a single card is drawn from a standard 52-card deck, in how many ways can a card other than a six be obtained

Click here to see answer by Alan3354(69443)

Question 1108924: 3. The IRS reports that the mean refund for a particular group of taxpayers was $1,600. The distribution of tax refunds follows a normal distribution with a standard deviation of $850.
What percentage of the refunds are less than $1,000
Click here to see answer by Boreal(15235)

Question 1108910: The weights of people in a certain population are normally distributed with a mean of 154 lb and a standard deviation of 23 lb.
(a)Determine the distribution of the sample mean and standard deviation for samples of size 4.
(b)Commenton whether the distribution of the mean is normal or approximately normal. Justify your answer.
Click here to see answer by Boreal(15235)

Question 1108771: A Cape Town courier service promises that 80%of Johannesburg-bound parcel deliveries will reach their destinations within 12 hours. What is the probability that of the seven parcels sent at random times by a particular client in Cape Town, only one is delivered late?

Click here to see answer by Boreal(15235)

Question 1108902: A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 207 milligrams with s = 18.1 milligrams.
Construct a 95% onfidence interval for the true mean cholesterol content of all such eggs.
Assume that the population is normally distributed.
Find the confidence interval specified
Click here to see answer by stanbon(75887)

Question 1108909: A college statistics professor has office hours from 9:00 A.M. to 10:30 A.M. daily.
A sample of waiting times to see the professor (in minutes) is
10, 12, 20, 15, 17, 10, 30, 28, 35, 28, 19, 27, 25, 22, 33, 37, 14, 21, 20, 23
Assuming sigma=7.84, find the 95.44% confidence interval for the population mean.
Click here to see answer by stanbon(75887)

Question 1108907: A sample of 49 eggs yields a mean weight of 1.69 ounces.
Assume sigma=0.46.
Find the margin of error in estimating μ at the 95% level of confidence.
Click here to see answer by stanbon(75887)

Question 1108906: Scores on a certain test are normally distributed with a variance of 22. A researcher wishes to estimate the mean score achieved by all adults on the test.
Find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2 units.
Click here to see answer by stanbon(75887)

Question 1108916: Discuss the purpose of correlation analysis. Give an example of its use in business.

Click here to see answer by stanbon(75887)

Question 1108900: Provide an appropriate response to the followings.
(a)Under what conditions would you choose to use the
t-interval procedure instead of the z-interval procedure in order to obtain a confidence interval for a population mean?
(b)What condition must be satisfied in order to use the t-interval procedure?

Click here to see answer by stanbon(75887)

Question 1108904: Cathy wishes to estimate the mean height of women aged 18-24. She picks a sample of 100 women aged between 18 and 24 and constructs a 99% confidence interval for the population mean. If she were to repeat this procedure 200 times in total, she would obtain 200 different confidence intervals.
(a)How many of these intervals would you expect to contain the population mean �mu�?
(b) Explain your reason

Click here to see answer by Boreal(15235)

Question 1108471: Suppose the lengths of human pregnancies are normally distributed with mu
equals266
days and sigma
equals16

days. Complete parts (a) and (b) below.
(a) The figure to the right represents the normal curve with mu equals 266

days and sigma
equals16
days. The area to the left

of Upper X equals 250

is 0.1587
.
Provide two interpretations of this area.
Provide one interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A.
The proportion of human pregnancies that last more

than nothing

days is nothing
.
B.
The proportion of human pregnancies that last less

than nothing

days is nothing
.

X
font size decreased by 3 266
font size decreased by 3 250
A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 250 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 250 and 266. The area under the curve to the left of 250 is shaded.
Provide a second interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A.
The probability that a randomly selected human pregnancy lasts less

than nothing

days is nothing
.
B.
The probability that a randomly selected human pregnancy lasts more

than nothing

days is nothing
.
(b) The figure to the right represents the normal curve with mu equals 266

days and sigma
equals16
days. The area between xequals
230
and x equals 305

is 0.9804
.
Provide two interpretations of this area.
Provide one interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round. Use ascending order.)
A.
The proportion of human pregnancies that last between nothing

and nothing

days is nothing
.
B.
The proportion of human pregnancies that last less than nothing

or more than nothing

days is nothing
.

X
font size decreased by 3 266
font size decreased by 3 230
font size decreased by 3 305
A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 230, 266, and 305. The curve's peak is near the top of the graph at horizontal coordinate 266. Three vertical line segments run from the horizontal axis to the curve at 230, 266, and 305. The area under the curve between the vertical line segments at 230 and 305 is shaded.
Provide a second interpretation of the area. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round. Use ascending order.)
A.
The probability that a randomly selected human pregnancy lasts between nothing

and nothing

days is nothing
.
B.
The probability that a randomly selected human pregnancy lasts less than nothing

or more than nothing

days is nothing
.

Click here to see answer by ikleyn(52750)

Question 1108973: Eight players areto be selected from 25 player baseball team to visit schools to support a summer reading program. If they not only want to select the players but also want to assign each player to visit one of eight schools in how ways can that be done?
Click here to see answer by stanbon(75887)

Question 1108981: For their stats exam, the class average was 80.00 (sd= 11). Finn tells Jake his Z-score was 1.50
a. What was his score?
b. Convert his score to a distirbution where M= 100, SD= 10 ?
for a...I got
X= 80+11(1.50)
X= 80+ 16.50
X= 96.50
for b
I feel like im wrong in my calculation but i tried this:
96.50-100= -3.50/10= -0.35

Click here to see answer by stanbon(75887)

Question 1109026: Concentric circles are drawn on a circular dartboard such that the diameter of the inner bullseye is 1 inch and the diameter of the outer bull is 3 inches. A dart thrown at the dartboard always lands inside the board and every location on the board is equally likely to be hit by the dart. If the diameter of the dartboard is 18 inches, what is the probability that a dart thrown at the board misses the inner bullesye but lands inside the outer bull?
Click here to see answer by KMST(5328)

Question 1109052: The mean and standard deviation of a sample of 20 observations were found to be 75 and 2.5 respectively. On checking the original the original figures, it was discovered that one observation which was actually 68, was copied down as 86. Find the correct mean and standard deviation.

Click here to see answer by stanbon(75887)

Question 1109047: Several years ago, 41% of parents who had children in grades K-12 were
satisfied with the quality of education the students receive. A recent poll
were asked 1,105 parents who have children in grades K-12 if they were
satisfied with the quality of education the students receive. Of the 1,105
surveyed, 456 indicated that they were satisfied. Construct a 90% confidence
interval to assess whether this represents evidence that parents' attitudes
toward the quality of education have changed.
What are the null and alternative hypotheses?
The Answer Is [Upper H 0: p= 0.41 versus H 1: p is not equal 0.41]

How do you find what the lower bound number is and what the upper bound number is if the confidence interval 90% . (Please show steps , especially if using TI-84 Calculator)
The lower bound is =
The upper bound is =
(Round to two decimal places as needed.)
Click here to see answer by stanbon(75887)

Question 1109127: If the arithmetic mean of 18,23,28,x,43 is 30
,then find the value of x
:
Click here to see answer by abdulaleem(11)

Question 1108899: Suppose that you wish to obtain a 95% confidence 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 confidence interval be too wide or too narrow? Why?
(b)Will the true confidence level associated with this interval be greater than or less than 95%?

Click here to see answer by Theo(13342)

Question 1109212: Decide whether or not the events are mutually exclusive.
Speaking Spanish and speaking Chinese.
Yes or No
Click here to see answer by ikleyn(52750)

Question 1109212: Decide whether or not the events are mutually exclusive.
Speaking Spanish and speaking Chinese.
Yes or No
Click here to see answer by greenestamps(13195)

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, 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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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