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Question 1153533: Use the information below to calculate P(A|B).
P(A) = 0.529
P(B) = 0.46
P(A or B) = 0.703
Click here to see answer by VFBundy(438)

Question 1153493: A security code consists of a person's first and last initials and four digits. Use 8 decimals places.
(a) What is the probability of guessing a person's code on the first try?
(b) What is the probability of not guessing a person's code on the first try?
(c) You know a person's first name and that the last digit is odd. What is the probability of guessing this persons code?
(d) Are the statements in parts (a) - (c) examples of classical probability, empirical probability, or subjective probability?
Click here to see answer by jim_thompson5910(35256)

Question 1153540: You are given the following information about the events A, B, and C.
• P(A) = 0.40
• P(B) = 0.76
• P(C) = 0.54
• P(A and B) = 0.2792
• P(B and C) = 0.4104
• P(A and C) = 0.1913
Determine which (if any) pairs of the three events are independent.
Click here to see answer by ikleyn(52752)

Question 1153539: A box contains 5 green marbles, 7 blue marbles, and 9 red marbles.
Three marbles are selected at random from the box, one at a time, without replacement.
Find the probability that the first two marbles selected are not red, and the last marble is red.
Click here to see answer by ikleyn(52752)

Question 1153538: Use the information below to calculate P(A|B).
P(A) = 0.65
P(B) = 0.5
P(B|A) = 0.24
Click here to see answer by ikleyn(52752)

Question 1153486: A random variable X follows the continuous uniform distribution with a lower bound of −2 and an upper bound of 19.
a). Calculate P(X ≤ 1). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

Click here to see answer by rothauserc(4718)

Question 1153412: A gambler has two coins in his pocket, one fair coin and one two-headed coin. He selects a coin at random and flips it twice. If he gets two heads, what is the probability that he selected the fair coin?

Click here to see answer by VFBundy(438)

Question 1153593: If you have a bag of 4 marbles of different color and you pick one which is blue. You put the blue marble back into the bag. What is the possibility of picking the same blue marble?

Click here to see answer by ikleyn(52752)

Question 1153579: Help me solve this (descriptive deviation)
The ages (in years) of the 5 doctors at a local clinic are the following.
44, 37, 36, 51, 42
Click here to see answer by Alan3354(69443)

Question 1153634: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 14.6; σ = 2.9
P(8 ≤ x ≤ 12) =
Click here to see answer by MathLover1(20849)

Question 1153647: Hi, I got stuck in a question:There are 5 Black balls, 4 red balls, and 1 blue ball in a bag. If 3 balls are drawn without replacement, find probability of:
a) Exactly 1 black ball is drawn given that at least 1 black ball is drawn.
For a), I have tried to use conditional probability, but I can't reach the value smaller than 1,and so here I am seeking for help, looking forward to your reply and thanks for your effort.
Click here to see answer by Boreal(15235)

Question 1153627: A manufacturer knows that their items have a normally distributed lifespan with a mean of 2.9 years and a standard deviation of 0.6 years.
If you randomly purchase one item, what is the probability it will last longer than 4 years? Round answer to 3 decimal places.
Click here to see answer by Boreal(15235)

Question 1153626: 6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 students to turn in tests was 78. Using the .05 significance level, was the average test score earned by the first 20 students to turn in their tests significantly different from the overall mean?
a. Use the five steps of hypothesis testing.

b. Figure the confidence limits for the 95% confidence interval.

Click here to see answer by Boreal(15235)

Question 1153616: A distribution of values is normal with a mean of 70 and a standard deviation of 22. From this distribution, you are drawing samples of size 40.
Find the interval containing the middle-most 90% of sample means:
Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Boreal(15235)

Question 1153653: The Senate in a certain state is comprised of 55 Republicans, 41 Democrats, and 4 Independents. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats?
Click here to see answer by Boreal(15235)

Question 1153688: A management consulting team needs a team of four to analyze the operations of a new client. The team should comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists. How many different teams could be formed from the available individuals
Click here to see answer by ikleyn(52752)

Question 1153672: Consider the population of four juvenile condors. Their weights in pounds are : 5, 6, 10, 13
(a) Let x be the weight of a juvenile condor. Write the possible unique values for x: (NOTE: Separate each value in the list with a comma.)
.
(b) Find the mean of the population:
8.5
(c) Let x¯ be the average weight from a sample of two juvenile condors. List all possible outcomes for x¯. (If a value occurs twice, make sure to list it twice.) This is the sampling distribution for samples of size 2: (NOTE: Separate each value in the list with a comma.)
.
(d) Find the mean of the sampling distribution:

Click here to see answer by ikleyn(52752)

Question 1153674: The following table provides the estimate views of a YouTube Top video and the artist in 2013-2014.
Video Name Love the Way You Lie Charlie Bit My Finger-Again! On the Floor Baby Gangnam Style
Views (billions) 0.72 0.92 1.02 1.32 2.12
a. The population mean views of the five most viewed YouTube videos is ________
billions.
b. Find the sample means for samples of size 2.
Love, Charlie: x¯ =
.
Love, On: x¯ =
.
Love, Baby: x¯ =
.
Love, Gangnam: x¯ =
.
Charlie, On: x¯ =
.
Charlie, Baby: x¯ =
.
Charlie, Gangnam: x¯ =
.
On, Baby: x¯ =
.
On, Gangnam: x¯ =
.
Baby, Gangnam: x¯ =
.
c. Find the mean of all sample means from above:
x¯ =
.
Click here to see answer by ikleyn(52752)

Question 1153646: Hi, I got stuck in a question:There are 5 Black balls, 4 red balls, and 1 blue ball in a bag. If 3 balls are drawn without replacement, find probability of:
a) Exactly one black ball is drawn given that at least one black ball is drawn.
b) The third ball drawn is yellow given that balls drawn are of different colours.
For a), I have tried to use conditional probability, but I can't reach the value smaller than 1,and so here I am seeking for help, looking forward to your reply and thanks for your effort.
Click here to see answer by VFBundy(438)

Question 1153693: Compute how many ways you can select n elements from N elements when n=5 and N=20
Click here to see answer by Boreal(15235)

Question 1153673: A random sample of 500 registered voters in Flagstaff found 50 registered voters who vote as an independent. Find a 95% confidence interval for the true percent of registered voters in Flagstaff who vote as an independent. Express your results to the nearest hundredth of a percent. .
Click here to see answer by Boreal(15235)

Question 1153666: As part of a statistics project, a teacher brings a bag of marbles containing 500 white marbles and 200 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.
A student randomly draws 150 marbles from the bag. Of the 150 marbles, 39 are red.
The target population consists of
a. The 700 marbles in the bag
b. None of the above
c. The 39 red marbles drawn by the student
d. The 200 red marbles in the bag
e. The 150 marbles drawn by the student
The sample consists of
a. The 150 marbles drawn by the student
b. The 39 red marbles drawn by the student
c. None of the above
d. The 200 red marbles in the bag
e. The 700 marbles in the bag
Based on the sample, the student would estimate that _________ marbles in the bag were red.
Click here to see answer by Boreal(15235)

Question 1153668: In a survey of 2383 U.S adults, 1073 think that there should be more government regulation of oil companies. Find the point estimate for the population proportion p of U.S adults who think that there should be more government regulation of oil companies.
Click here to see answer by Boreal(15235)

Question 1153609: It is known that the “Stats is Awesome” webpage takes on average 7 seconds to load (µ = 7) with a population standard deviation of 2 seconds (σ = 2).

What is the probability that the loading time will be less than 3 seconds? [2 marks]

What is the probability that the loading time will be between 6 and 9 seconds? [4 marks]

Click here to see answer by Boreal(15235)

Question 1153746: There are 5 red balls and 9 blue balls in a bag. 4 balls are drawn at random. The probability of at least 1 ball of each color is drawn is 870/1001 and the probability of at least 2 blue balls are drawn is 906/1001. Determine whether "at least two blue balls are drawn" and "at least 1 ball of each colour is drawn" are independent event.
Click here to see answer by jim_thompson5910(35256)

Question 1153745: The probabilities that Macy and Susan hit a target at each shot are 0.6 and 0.5 respectively. Assume that their result at each shot are independent. If each of them shoots at the target twice, find the probability that both Macy and Susan hit the target.
Click here to see answer by ikleyn(52752)

Question 1153767: Phillip and Angeline are to be seated together with 6 other friends in a
row of 8 chairs. The seating arrangement is done by drawing of lots. What
is the probability that Phillip and Angeline will sit together?
Click here to see answer by ikleyn(52752)

Question 1153766: In Statsville, the probability of a teenager listening to the classic rock
station is 42%, while the probability of listening to the New Country
station is 36%. If 13% of the teenagers surveyed listen to both stations,
what is the probability that a given student listens to neither of the
stations?

Click here to see answer by ikleyn(52752)

Question 1153771: A coin is tossed three times. Find the probability of:
a. getting either all tails or getting a tail exactly once.
b. getting all heads or getting a head and two tails.
Click here to see answer by ikleyn(52752)

Question 1153770: The probability that Ramon will pass the board exam is 3/5. The probability
that Simon will pass the same board exam is 5/6. If each of them takes the
board exam, find the probability that the board exam will be passed by:
a. both Ramon and Simon.
b. only one of them.
Click here to see answer by ikleyn(52752)

Question 1153769: Five math books and three science books are to be arranged at random in
a bookshelf. What is the probability that books of the same subject are placed
together?
Click here to see answer by ikleyn(52752)

Question 1153768: A bowl contains 6 red chips, 5 blue chips, and 3 white chips. If three
chips are drawn, determine the probability that:
a. the chips are of different colors?
b. the chips are all red?
c. two of three chips are blue?
Click here to see answer by greenestamps(13195)

Question 1153795: A box contain 74 brass watchers 86 steel watchers and 40 aluminum watchers three watchers drawn at random from the box without replacement determine the probability that no aluminum watchers are drawn at random from the box without replacement

Click here to see answer by ikleyn(52752)

Question 1153563: Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon whether they have been raised primarily by their father or by both their mother and their father. Two variables are found below in the data file: math (0 = no advanced math and 1 = some advanced math) and Parent (1= primarily father and 2 = father and mother).
Parent Math
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
1.0 0.0
2.0 0.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 1.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
2.0 0.0
a) Conduct a crosstabs analysis to examine the proportion of female high school students who take advanced math courses is different for different levels of the parent variable.
b) What percent of female students took an advanced math class?
c) What percent of female students did not take advanced math class when females were raised by just their father?
d) What are the Chi-square results? What are the expected and the observed results that were found? Are the results of the Chi-Square significant? What do the results mean?
e) What were your null and alternative hypotheses? Did the results lead you to reject or fail to reject the null and why?

Click here to see answer by ikleyn(52752)

Question 1153799: there are 6 girls and 4 boys in a class.2 pupils are picked at random.what is the probability that at least one is a girl?
Click here to see answer by ikleyn(52752)

Question 1153808: An organization consisting of 22 women and 16 men needs to select from its ranks a committee of 6 people.
In how many possible ways can the committee be formed so that it consists only of women?
Click here to see answer by ikleyn(52752)

Question 1153807: Winning tickets in a lottery are chosen by selecting 6 balls numbered 1 through 50, without replacement. If the order in which the numbered balls are select does not matter, how many possible distinct outcomes are there for the selection?
Click here to see answer by ikleyn(52752)

Question 1153809: An organization consisting of 22 women and 16 men needs to select from its ranks a committee of 4 people.
If the members of the committee are selected at random, what is the probability that the committee will have exactly 2 men?
Click here to see answer by ikleyn(52752)

Question 1153806: A college club consists of:
6 freshmen
10 sophomores
8 juniors
7 seniors
The club needs to select an executive board consisting of a president, a vice president, a treasurer, and a secretary.
The president is required to be a senior.
The vice president is required to be a junior.
The treasurer can be either a freshman or a sophomore.
The secretary can be either a freshman or a sophomore.
Under these restrictions, how many distinct executive boards are possible?
Click here to see answer by ikleyn(52752)

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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