Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1205908: Customers arrive randomly at a checkout counter at an average rate of 2 every five minutes.
PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
Question content area bottom
Part 1
a) What is the probability that none arrive in a five minute period?
The probability that none arrive in a five minute period is
enter your response here.
b) What is the probability that more than four arrive in a ten minute period?
The probability that more than four arrive in a ten minute period is
enter your response here.
Click here to see answer by MathLover1(20849)   |
Question 1206014: In analyzing hits by bombs in a past war, a city was subdivided into 738 regions, each with an area of 1-mi². A total of 649 bombs hit the combined area of 738 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 1-mi².
Find the mean number of hits per region:
(Report answer accurate to 4 decimal places.)
Click here to see answer by ikleyn(52754)  |
Question 1206028: There are 60 chocolates in a box, all identically shaped. There 29 are filled with nuts, 14 with caramel, and 17 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a caramel candy followed by a nut candy (round your answer to 3 significant digits)
Click here to see answer by ikleyn(52754) |
Question 1206017: A random sample of 10 resistors is to be tested. From experience, it is known that the probability of a given resistor being defective is 0.057. Let X be the number of defective resistors. Requirements: a) What kind of distribution function would be recommended for modeling the random variable X? b) According of distribution function in (a), what is the probability that in the sample of 10 resistors, there are more than 1 defective resistors in the sample?
Click here to see answer by Theo(13342)  |
Question 1206029: A plumber tells you she will arrive between 8 am and noon. Assume any time in this interval is an equally likely arrival time. Let X= arrival time (minutes after 8 am).
State the distribution that X follows in proper mathematical notation.
Find the probability density function f(x) and sketch a graph of it in your notes.
What is the probability she arrives before 9 am? Pose this question with mathematical notation and compute the answer.
What is the probability she arrives between 10:15 and 11 am? Pose this question with mathematical notation and compute the answer.
It is now 9:30. What is the probability that she arrives in the next 30 minutes? Pose this question with mathematical notation and compute the answer.
Click here to see answer by ikleyn(52754) |
Question 1206041: Suppose there is a group of 100 students. 70 of them are in an English class, and 40 of them are in a Math class (so there are 10 students in both).
Suppose we select a single student at random. Let E= chosen student is in an English class and M=chosen student is in a Math class.
Compute the following probabilities.
P(M)=
P(E)=
P(M and E)=
P(M or E)=
P(M|E)=
Are these two events independent?
Now suppose we select two students at random. You can treat this like selecting one, then selecting another, without replacement.
What is the probability of selecting a student only in an English class first, and then selecting a student only in a Math class second (neither is in both)?
What is the probability of selecting a student only in a Math class second if my first selection is a student who is only in an English class?
Click here to see answer by math_tutor2020(3816) |
Question 1206038: size : 10,12,14,16,18,20
frequency: 3,7,?,20,8,5
mean is 15 find the missing frequency
Click here to see answer by math_tutor2020(3816) |
Question 1206043: In a large school, it was found that 75% of students are taking a math class, 77% of student are taking an English class, and 57% of students are taking both.
Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Click here to see answer by math_tutor2020(3816) |
Question 1206061: A person must pay
8 to play a certain game at the casino. Each player has a probability of 0.11 of winning
16. Each player has a probability of 0.89 of losing the game and winning nothing.
What is the Expected Value for the player? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.
Click here to see answer by ikleyn(52754) |
Question 1206063: A study reports that 56% of Americans support increased funding for public schools. If 5 Americans are chosen at random, what is the probability that:
a) All 5 of them support increased funding for public schools?
b) None of the 5 support increased funding for public schools?
c) At least one of the 5 support increased funding for public schools?
Click here to see answer by ikleyn(52754) |
Question 1206062: A bag contains 10 red marbles, 6 white marbles, and 9 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?
The probability that all the marbles are red is
.
What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is
.
What is the probability that none of the marbles are red?
The probability of picking no red marbles is
Click here to see answer by ikleyn(52754) |
Question 1205781: In a certain city, the distribution of the first-and second - born children of two - child families by gender is shown below.
First born Second born Total
Female Male
Female 530 510 1040
Male 480 430 910
TOTAL 1010 940 1950
a.) A family in this city with two children has a male first- born. What is the probability that its second- born is female? (5 points)
b.) What is the probability that a family with two children selected at random in this city has children of same gender? (5 points)
Click here to see answer by premkumarlegend07(1) |
Question 1206107: In a survey of 266 people, the following data were obtained relating gender to political orientation:
Republican (R) Democrat (D) Independent (I) Total
Male (M) 74 45 19 138
Femal (F) 56 59 13 128
Total 130 104 32 266
A person is randomly selected. What is the probability that the person is:
Male and a Democrat?
Click here to see answer by ikleyn(52754) |
Question 1206108: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept master cards and 60% accept visa cards. A tourist visiting the city picks at random a restaurant at which to have lunch. Define the following events:
M= {the randomly chosen restaurant accepts master credit cards},
V= {the randomly chosen restaurant accepts visa credit cards}.
1)Are M and V disjoint?
2)Are M AND V independent?
3 Is M complement of V
4.What is the probability that a given restaurant does not accept master or visa credit cards?
Click here to see answer by ikleyn(52754) |
Question 1206109: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept master cards and 60% accept visa cards. A tourist visiting the city picks at random a restaurant at which to have lunch. Define the following events:
M
M = {the randomly chosen restaurant accepts master credit cards},
V
V = {the randomly chosen restaurant accepts visa credit cards}.
Which of the following shows independence between two events M
M and V
V? [CHECK ALL THAT APPLY]
A. P(V given M) is equal to P(V)
B. The events M and V are not disjoint
C. The events M and V are not disjoint
D.P(M given V) is equal to P(V)
e.P(M and V) is equal to P(M)×P(V)
F.P(M given V) is equal to P(M)
Click here to see answer by ikleyn(52754) |
Question 1206109: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept master cards and 60% accept visa cards. A tourist visiting the city picks at random a restaurant at which to have lunch. Define the following events:
M
M = {the randomly chosen restaurant accepts master credit cards},
V
V = {the randomly chosen restaurant accepts visa credit cards}.
Which of the following shows independence between two events M
M and V
V? [CHECK ALL THAT APPLY]
A. P(V given M) is equal to P(V)
B. The events M and V are not disjoint
C. The events M and V are not disjoint
D.P(M given V) is equal to P(V)
e.P(M and V) is equal to P(M)×P(V)
F.P(M given V) is equal to P(M)
Click here to see answer by math_tutor2020(3816) |
Question 1206111: The tourist bureau of the Caribbean Islands surveyed a sample of 6 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows.
4, 10, 11, 8, 6, 9
Send data to calculator
Find the standard deviation of this sample of numbers. Round your answer to two decimal
Click here to see answer by math_tutor2020(3816) |
Question 1206113: Assume that 10% of people are left-handed. If we select 10 people at random, find the probability of each outcome below: (Give at least 3 decimal places)
1- There are exactly 5 lefties in the group
2- There are more than 3 lefties in the group
Click here to see answer by ikleyn(52754) |
Question 1206113: Assume that 10% of people are left-handed. If we select 10 people at random, find the probability of each outcome below: (Give at least 3 decimal places)
1- There are exactly 5 lefties in the group
2- There are more than 3 lefties in the group
Click here to see answer by Theo(13342) |
Question 1205907: Flaws in plate glass used for large office buildings occur randomly at an average of 1 per 10 square feet.
PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
Question content area bottom
Part 1
a) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws?
The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws is
enter your response here.
b) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw?
The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw is
enter your response here.
Click here to see answer by Theo(13342) |
Question 1206118: A random sample of 16 pharmacy customers showed the waiting times below (in minutes).
11 25 19 17 24 16 18 20
19 23 21 17 17 14 15 11
Waiting TImes for Prescription (n = 16)
Minutes
11
25
19
17
24
16
18
20
19
23
21
17
17
14
15
11
Find a 90 percent confidence interval for μ, assuming that the sample is from a normal population. (Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places.)
The 90% confidence interval ____ to ____
Click here to see answer by math_tutor2020(3816) |
Question 1206140: A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 10% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
Click here to see answer by ikleyn(52754) |
Question 1206163: Maxim buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 5 oatmeal cookies.
What is the probability that Maxim reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?
Click here to see answer by ikleyn(52754) |
Question 1206166: A sample space contains 7 sample points or outcomes. Let events and be defined according to the Venn diagram below.
Let:
P(1) = P(2) = P(3) = P(7) = 0.1,
P(4) = P(5) = 0.05.
and P(6) = 0.5.
P(AUB) =
(b) P(4) =
(c) P(An B) =
(d) P(AUA) =
A=1,5,6
B=4,7
A/B=2,3
Click here to see answer by ikleyn(52754) |
Question 1206166: A sample space contains 7 sample points or outcomes. Let events and be defined according to the Venn diagram below.
Let:
P(1) = P(2) = P(3) = P(7) = 0.1,
P(4) = P(5) = 0.05.
and P(6) = 0.5.
P(AUB) =
(b) P(4) =
(c) P(An B) =
(d) P(AUA) =
A=1,5,6
B=4,7
A/B=2,3
Click here to see answer by greenestamps(13195)  |
Question 1206166: A sample space contains 7 sample points or outcomes. Let events and be defined according to the Venn diagram below.
Let:
P(1) = P(2) = P(3) = P(7) = 0.1,
P(4) = P(5) = 0.05.
and P(6) = 0.5.
P(AUB) =
(b) P(4) =
(c) P(An B) =
(d) P(AUA) =
A=1,5,6
B=4,7
A/B=2,3
Click here to see answer by mccravyedwin(405)  |
Question 1206171: The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 51 and a standard deviation of 3. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 51?
Click here to see answer by ikleyn(52754) |
Question 1206170: A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 50 states. What is the probability that she selects the route of three specific capitals? P(she selects the route of three specific capitals)= (Type an integer or a simplified fraction.)
Click here to see answer by ikleyn(52754) |
Question 1206173: i have tried answering this problem, i can figure out the critcal values & Z score but my answers don't match up to the choices given...
It is desired to test H0: μ = 55 against H1: μ < 55 using α = 0.10. The population in question is normally distributed with a standard deviation of 20. A random sample of 64 will be drawn from this population. If μ is really equal to 50, what is the probability that the hypothesis test would lead the investigator to commit a Type II error?
Click here to see answer by Theo(13342) |
Question 1206188: In 1912 the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter "call sign." By
international agreement, the United States received rights to all call signs beginning with the letters W, N, and K. Radio stations
in the western United States were given call signs starting with K. Stations in the East were given call signs starting with W. (N
was reserved for use by the U.S. Navy.)
(a) How many three-letter call signs (like WGO) start with the letter W?
(b) How many three-letter call signs starting with W or K were available for U.S radio stations?
Click here to see answer by ikleyn(52754) |
Question 1206152: In swimming, clearly you would like to swim fast, but swimming consistent times is also important. A survey of 32 swims by men on a local university's swim team found a variance of their swimming times was 6 seconds. A similar survey of 27 swims by swimmers at a different university found the variance was 10 seconds. When testing the hypothesis (at the 5% level of significance) that the variances are equal, what is the test statistic? (please round your answer to 2 decimal places, show work)
Click here to see answer by Theo(13342) |
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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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