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

Question 1163247: A bag contains 2 white,5 red and 3 blue balls. One ball is drawn, its color noted and put back in the bag. Then a second ball is drawn. Find the probability that
i) the second ball drawn is either white or blue?
ii) the two balls are of the same color?
Click here to see answer by jim_thompson5910(35256)

Question 1163257: A bag contains three red, four white and three black, identical balls, three balls
are drawn at random without replacement from the bag. What is the
probability that atleast a ball is white
Click here to see answer by solver91311(24713)

Question 1163255: Considering the following hypotheses:
H0: μ = 73
HA: μ ≠ 73
What are the p-values based on the following sample information? (Feel free to reference the appropriate table: z table or t table)

1. x¯ = 70; s = 6.4; n = 19
2. x¯ = 70; s = 6.4; n = 24
3. x¯= 70; s = 6.9; n = 35
4. x¯ = 76; s = 6.9; n = 35

Click here to see answer by Boreal(15235)

Question 1163245: The claim is a mean is 242 and you want to prove it is less.Test the hypothesis with a p-value calculation using a 5% level of significance.
Your sample of 108 had a mean of 225.06 and standard deviation of 60.5.
Click here to see answer by Boreal(15235)

Question 1163240: Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p¯ = 0.38; n = 53
Click here to see answer by Boreal(15235)

Question 1161656: The lengths of pregnancies are normally distributed with a mean of 264 days and a standard deviation of 21 days. If 100 women are randomly selected, find the probability that they have a mean pregnancy between 263 days and 265 days.
Click here to see answer by Boreal(15235)

Question 1163239:
Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47

Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p value

Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47

Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

p value
x = 112; n = 311 _______
Click here to see answer by Boreal(15235)

Question 1163263: How many ways two different mathematical sign among six and 3 distinct non zero digits to be used to generate a password?
Click here to see answer by ikleyn(52756)

Question 1163262: A tetrahedral dice is rolled, 8 times. Even number of upper faces are observed. Make the probability distribution of even number , also find its mean and variance.
Click here to see answer by ikleyn(52756)

Question 1163261: The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. what is the probability that
(1) Neither will of these products launch ?
(2) At least one product will be launched?
Click here to see answer by ikleyn(52756)

Question 1163265: Two hundred and fifty passenger have mad reservations for airplane flight. If the probability that a passenger who has a reservation show up is 0.98. what is the exactly five that will not show up?
Click here to see answer by ikleyn(52756)

Question 1163268: Find P(A and B) if;
(i) P(A)=1/2, P (B)=2/3, P(A or B)=3/4
(ii) P(A)=1/2 P(B) =2/3, P(A|B)=2/5
Click here to see answer by ikleyn(52756)

Question 1163270: In a high school class of 100 students, 42 studied mathematics, 68 studied
psychology, 54 studied history, 22 studied both mathematics and history, 25
studied both mathematics and psychology, 7 studied history and neither
mathematics nor psychology, 10 studied all three subjects and 8 did not take
any of the three. If a student is selected at random, find the probability that
(i) he takes history and psychology but not mathematics?
(ii) a person enrolled in history takes all three subjects?
(iii) he takes mathematics only?
Click here to see answer by ikleyn(52756)

Question 1163269: In a cafeteria students may order any combination of Chips, Sandwiches and
Cold drink.
The probability that a student chooses
a cold drink is 0.45,
sandwiches and chips 0.19,
cold drink and sandwiches 0.15,
cold drink and chips 0.25,
cold drink or sandwiches 0.6,
cold drink or chips 0.84,
cold drink or chips or sandwiches 0.9.
Find the probability that a student chooses all the
three.
Click here to see answer by Edwin McCravy(20054)

Question 1163284: A bag contains three red, four white and three black, identical balls, three balls are drawn at random without replacement from the bag. What is the probability that at least a ball is white.
Click here to see answer by dkppathak(439)

Question 1163288: In a high school class of 100 students, 42 studied mathematics, 68 studied
psychology, 54 studied history, 22 studied both mathematics and history, 25
studied both mathematics and psychology, 7 studied history and neither
mathematics nor psychology, 10 studied all three subjects and 8 did not take
any of the three. If a student is selected at random, find the probability that
(i) he takes history and psychology but not mathematics?
Click here to see answer by ikleyn(52756)

Question 1163298: Students who score in the top 10 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)
Click here to see answer by jim_thompson5910(35256)

Question 1163307: A pair of fair die is tossed. Find the probability of getting:
P(A)= 5/36, P(B) = 5/18
.Compute P(AUB) and p(A'∩B')?

Click here to see answer by ikleyn(52756)

Question 1163311: One bag contains three balls of red color and four balls of black color and second bag contains two balls of red color and three of black color. If one bag is chosen at random and a ball is drawn, what is the the probability that it is red?
Click here to see answer by ikleyn(52756)

Question 1163313: A batch of 25 items contains 5 defective items.
The batch is split in 5 groups of 5 items each.
What is the probability that each group contains a defective item?
Click here to see answer by Edwin McCravy(20054)

Question 1163310: In their kindergarten classroom, a child is pouring and layering different colors of sand into a jar to create a mother’s day gift. There are 7 colored sands to choose from. The child is only allowed to use 4 colors, one for each of the four layers. How many different layer combinations are there if the top layer must be purple and the bottom layer must be red, and each layer must be a separate color?
Click here to see answer by Edwin McCravy(20054)

Question 1163319: You are given two urns, each containing a collection of coloured balls. Urn 1 contains three white and two blue balls. Urn 2 contains four white and three blue balls. A ball is drawn at random from urn 1 and put into urn 2. A ball is then picked a random from Urn 2.
What is the probability that the ball picked is white? Assume balls picked from an urn are equally likely to be any of the balls present.
Click here to see answer by ikleyn(52756)

Question 1163308: General Hospital's on patient account division has compiled data on the age of accounts receivables. The data collected indicates that the age of the accounts follows a normal distribution with mean 28 days and standard deviation 8 days. Ahmad would like to know the probability of the accounts between 20 and 40 days old and the probability of the accounts which less than 30 days old. Shows the calculation of both problems.
Click here to see answer by Boreal(15235)

Question 1163344: Consider the following Bayesian graph:
1)Prove that B and C are conditionally independent given A
2)Prove that B and C are not unconditionally dependent.
Click here to see answer by ikleyn(52756)

Question 1163346: ) if two dice are rolled one time, find the probability of getting these results.
1. A sum of 9
2. A sum of 7 or 11
3. Doubles
4. A sum less than 9
5. A sum greater than or equal to 10

Click here to see answer by ikleyn(52756)

Question 1161604: Americans ate an average of
25.7 pounds of confectionery products each last year
and spent an average of $61.50 per person doing so. If
the standard deviation for consumption is 3.75 pounds
and the standard deviation for the amount spent is
$5.89, find the following:
a. The probability that the sample mean confectionary
consumption for a random sample of 40 American
consumers was greater than 27 pounds
b. The probability that for a random sample of 50, the
sample mean for confectionary spending exceeded
$60.00
Click here to see answer by Theo(13342)

Question 1163352: A pizza restaurant offers 6 toppings to choose from for their pizzas, and no toppings is considered a plain cheese pizza. How many different pizzas topping combinations are possible if the maximum number of allowed toppings is 3 and toppings can’t repeat? (hint - consider all no additional toppings, 1,2,3 additional toppings)
I have tried to do C(6,3) and I got 20 but it wasn't correct when checked.
Click here to see answer by greenestamps(13195)

Question 1163363: Find the missing probability.
P(A)=9/20,P(B)=3/5,P(A∩B)=27/100 ,P(A∪B)=?
Click here to see answer by Theo(13342)

Question 1163373: You bought the combo snack pack at the movie theater that comes with a slushee, a bag of popcorn, and a pickle. There are 5 flavors of slushees, 2 flavors of popcorn, and only 1 type of pickle. In how many ways could you choose your combo?
Click here to see answer by ikleyn(52756)

Question 1163393: Every year, students decide which four classes to take each semester. They must take two core classes each semester consisting of Math, Science, English, or Social Studies. There are 6 electives to choose from for the remaining two classes.
Q: How many different class schedules are possible if each course is assigned to one of the four periods?
I did C(4,2) multiplied by C(6,2) and got 90 as the result but the answer was incorrect.
Click here to see answer by Boreal(15235)

Question 1163374: Every year, students have to decide which four classes to take each semester. They must take two core classes each semester consisting of Math, Science, English, or Social Studies. There are 6 electives to choose from for the remaining two classes.
A student wants to take Orchestra, AP Calculus, Physics 1, and Debate. However, Orchestra is only offered 1st period or 2nd period, and AP Calculus is only offered 4th period. How many schedules would meet these criteria? (no math required. Use reasoning!)
Click here to see answer by Boreal(15235)

Question 1163404: A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.]

Property Taxes Size
21,860 2,486
17,463 2,447
------ -----
29,226 2,845

1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

2. Interpret rxy.
a. The correlation coefficient indicates a positive linear relationship.
b. The correlation coefficient indicates a negative linear relationship.
c. The correlation coefficient indicates no linear relationship.

3. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the size of a house and property taxes differs from zero.
a. H0: ρxy = 0; HA: ρxy ≠ 0
b. H0: ρxy ≥ 0; HA: ρxy < 0
c. H0: ρxy ≤ 0; HA: ρxy > 0
4. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

5. Find the p-value.
6. At the 1% significance level, what is the conclusion to the test?
a. Reject H0; we can state size and property taxes are correlated.
b. Reject H0; we cannot state size and property taxes are correlated.
c. Do not reject H0; we can state size and property taxes are correlated.
d. Do not reject H0; we cannot state size and property taxes are correlated.

Click here to see answer by solver91311(24713)

Question 1163401: A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.]

Property Taxes Size
21,860 2,486
17,463 2,447
⋮ ⋮
29,226 2,845

Click here for the Excel Data File

a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

a-2. Interpret rxy.

a. The correlation coefficient indicates a positive linear relationship.
b. The correlation coefficient indicates a negative linear relationship.
c. The correlation coefficient indicates no linear relationship.

Click here to see answer by ikleyn(52756)

Question 1163403: A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.]
Property Size
Taxes
21,860 2,486
17,463 2,447
-----------------------
29,226 2,845

Click here for the Excel Data File
a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

a-2. Interpret rxy.
a. The correlation coefficient indicates a positive linear relationship.
b. The correlation coefficient indicates a negative linear relationship.
c. The correlation coefficient indicates no linear relationship.
Click here to see answer by ikleyn(52756)

Question 1163406: The following circuit operates if and only if there is a path of functional devices from left to right. The probability each device functions is as shown. Assume that the probability that a device functions does not depend on whether or not other devices are functional. What is the probability that the circuit operates? *
Captionless Image

Click here to see answer by ikleyn(52756)

Question 1163410: if a dice is thrown calculate probability
the sum faces
sum of dot greater than 9
product of dot greater less than 10

Click here to see answer by Alan3354(69443)

Question 1163410: if a dice is thrown calculate probability
the sum faces
sum of dot greater than 9
product of dot greater less than 10

Click here to see answer by ikleyn(52756)

Question 1163412: What is the probability of selecting six diamonds with replacement in a deck of 52 cards?
Click here to see answer by Theo(13342)

Question 1163411: What is the probability of selecting a seven or a red card in a deck of 52 cards?
Click here to see answer by Theo(13342)

Question 1163413: A farmer bought 3 seeds and the probability of them germinating is 3 out of 4. If he planted all the 3 seeds, what is the probability of only one germinating?
Click here to see answer by ikleyn(52756)

Question 1163418: An integer is chosen at random from first 60 positive integers. Find the probability that
the chosen integer is divisible either by 6 or by 10
Click here to see answer by ikleyn(52756)

Question 1163420: Ali and Babar play a game in which Ali’s probability of wining is 1
2
. In a series of 6 games,
what is the probability that Ali will win
(i) Exactly 3 games
(ii) At least 3 games
(iii) 4 or more games
Click here to see answer by ikleyn(52756)

Question 1163422: A man tossed two fair dice what is the conditional probability that the sum of the two
dice will be 7, given that [5]
(i) The sum is odd.
(ii) The sum is greater than 6.
(iii) The two dice had the same outcome.

Click here to see answer by ikleyn(52756)

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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