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

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Question 386764: Find the probability of selecting 5 math books and 4 history books from a stack that contains 6 math books and 4 history books if the books are selected at random.
Click here to see answer by stanbon(75887) About Me 

Question 386775: A weighted coin is tossed four times. The probability for the number of heads observed is given below.
#Heads Probability
0 .4096
1 .4096
2 .1536
3 .0256
4 .0016
What is the probability pf getting AT LEAST one head?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 386700: A weighted coin is tossed four times. The probability for the number if heads observed is given below
# heads Probability
0 .4096
1 .4096
2 .1536
3 .0256
4 .0016

What is the probability of getting at least ones head?

Click here to see answer by stanbon(75887) About Me 

Question 386819: For the following statement, write the null hypothesis and the alternative hypothesis. Then, label the one that is the claim being made.
The average age of graduating seniors is at least 18 years old

Click here to see answer by stanbon(75887) About Me 

Question 386802: In the tests of a new pharmaceutical product, data were
collected for use in the approval process required by the
U.S. Food and Drug Administration (FDA). Some participants
were given a placebo, an inert substance that
looks like the drug; others were given the drug. The
data are shown in the following table:
Drug: No Help 22 Help 47
Placebo: No Help 31 Help 20
What is the probability that:
a. the participants perceived that their “medication”
helped if they received the drug?
b. the participants perceived that their “medication”
helped if they received the placebo?
c. the participants perceived that their “medication”
helped?

Click here to see answer by stanbon(75887) About Me 

Question 386771: A European energy company is exploring the feasibility of a wind turbine at a specific location. It randomly sampled the peak wind speeds at this location over 27 days. Below are the peak wind speeds (in meters/sec) over the 27 sampled days.

1.1 1.4 1.6 1.6 2.7 3.7 3.9 4.1 4.9 5
6.5 6.7 7 7.3 8 8.2 8.5 8.5 8.6 8.7
9.1 9.5 10.4 10.7 12.5 14.2 14.9

From this data, find the sample mean, median, mode and midrange for peak wind speed. Round each to the nearest tenth if necessary. Include units with each answer

Can some one please help me with this question please

Click here to see answer by stanbon(75887) About Me 

Question 386860: Choose a person at random and give him or her an iq test. the score y has the normal distribution with mean=100 and standard deviation=15. the probability that the person chosen has an iq score higher than 120 is what?
Click here to see answer by stanbon(75887) About Me 

Question 386729: It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 1 or 2 errors per page?
Click here to see answer by robertb(5830) About Me 

Question 386746: A six-sided die is rolled 4 times.
Let the random variable x count the number of Three's. Construct a probability distribution for x.
Find the mean and standard deviation of the probability distribution.

Click here to see answer by robertb(5830) About Me 

Question 386770: A random sample of 30 receipts for individuals shopping at CVS Pharmacy showed the sample mean to be x=28.19 with sample standard deviation s=4.06. Compute the coefficient of variation for this data.
a.) 6.94%
b.) 14.4%
c.) 694%
d.) 4.32%
e.) 0.48%

Click here to see answer by robertb(5830) About Me 

Question 386927: If a class has 34 students of which 12 are female and the rest are male.
(a) We wish to form a committee of 6 people from the students. How many distinct committees can be formed?
b) If there is a restriction that the committee has to be 3 male and 3 female. Now how many distinct committees can we form?

Thank-you in advance.

Click here to see answer by stanbon(75887) About Me 

Question 387007: Counting hands cards: Among the 2,598,960 possible f-card poker hands from a standard 52-card deck, how many contain the following cards?
a)Cards of more than one suit(complement of "no face cards")

Click here to see answer by stanbon(75887) About Me 

Question 387010: Hello,
My question is: A national test has a mean of 400 and S.D. of 50. What is the prob. a score is greater than 500?
Thanks so much!!
Amy

Click here to see answer by stanbon(75887) About Me 
Question 387010: Hello,
My question is: A national test has a mean of 400 and S.D. of 50. What is the prob. a score is greater than 500?
Thanks so much!!
Amy

Click here to see answer by ewatrrr(24785) About Me 

Question 387011: Four men and three women are waiting to be interviewed for jobs. If they are all selected in random order find the probability of each event.
a) All the men will be interviewed first.

Click here to see answer by ewatrrr(24785) About Me 

Question 387012: Choosing cards:
There are three cards, one that is green on both sides, one that is red on both sides, and one that is green on one side and red on the other. One of the three cards is selected randomly and laid on the table. If it happens that the card on the table has a red side up, what is the probability that it is also red on the other side?

Click here to see answer by Fombitz(32388) About Me 

Question 387014: Among the 2,598,960 possible 5-card poker hands from a standard 52-card deck, how many contain the following cards?
a)Cards of more than one suit(complement of "all the same suit")

Click here to see answer by stanbon(75887) About Me 

Question 387047: a bag contain a totap of 12 batteries of which six are defective. Selecting two at a random without replacement, determin the probabilty that none of the batteries you select are good.
Click here to see answer by stanbon(75887) About Me 

Question 387040: in how my ways can 10 instructors be assigned to 10 sections of a course in math
Click here to see answer by Jk22(389) About Me 

Question 387092: suppose a box contains three objects A,B,C. list all the easy that two of these objects can be selected without replacement assuming order matters 

If two objects are randomly selected as described above what's the probability that onf of the objects is A? Fraction in simplest terms.

Click here to see answer by Fombitz(32388) About Me 

Question 387004: Counting Card Hands:
How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards?
a)Four clubs and one non-club
b)Two face cards and three non-face cards
c)Two red cards, two clubs, and a spade

Click here to see answer by edjones(8007) About Me 

Question 387111: Suppose you have 5 distinguishable dice. Calculate the size of the sample space.
List all the outcomes which satisfy the event "all five dice are the same".
Calculate the probability of thus event occurring. ( in other worlds calculate the probability of getting a yahtzee on one roll) leave answer as a fraction reduced to simplest terms

Click here to see answer by user_dude2008(1862) About Me 

Question 387159: Qustion: A survey of 950 car owners found that 28% of the cars are named Lexus. Find the 99% confidence interval of the true proportion of cars named Lexus.
Click here to see answer by stanbon(75887) About Me 

Question 387154: A circle is inscribed in a square. What is the probability to the nearest thousandth that a point inside the square is also inside the circle?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 387233: six more than 0.25 of a number is 12.1 whats the number
Click here to see answer by rfer(16322) About Me 

Question 387238: The heights of randomly selected members of a soccer team in inches are listed.
68 62 66 67 68 69 58

From this data set, find the sample mean, median, mode and range for the given heights. Round each to the nearest hundredth if necessary. Include units with each answer.

Which of the numbers you calculated is a better measure of the central tendency of the heights given? Give a specific statistical reason for your conclusion.
I have about 16 questions can someone show me step by step on how to set up and work this problem, and how can i double check the answer to make sure I am right.

Click here to see answer by rfer(16322) About Me 

Question 387266: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
drawing a black two out of a standard 52 card deck given it’s not a face card or an Ace.
drawing a six out of a standard 52 card deck given it’s not a face card or an Ace.
rolling a sum of 7 on two fair six sided dice
rolling a sum of 3 on two fair six sided dice
rolling a sum of 10 on two fair six sided dice

Click here to see answer by edjones(8007) About Me 

Question 387265: I'm working on probability distribution and I am so stuck on these questions: Please guide me in the right direction..
1. A cruise ship entertainment director is conducting an event whereby she must group the passengers by age. She notes the following after grouping them:
Age # passengers
21-30 25
31-40 38
41-50 32
51-60 16

She selects a person at random. What is the probability that the person is:
a. 40 or younger?
b. Older than 30, but younger than 61?
Thank you for your time

Click here to see answer by robertb(5830) About Me 

Question 387310: A bag contains 8 red jelly beans and 8 green jelly beans. How many ways can 5 jelly beans be withdrawn from the bag with the number of green ones being less than 3?

Click here to see answer by robertb(5830) About Me 

Question 387309: An exam contains 10 true or false questions.
What is the probability of getting 4 correct?

Click here to see answer by robertb(5830) About Me 

Question 387293: A distribution of scores has µ = 40 and σ = 18
a. describe the distribution of sample means based on samples of n = 36 selected from this population (shape, central tendency, variability)
b. of all the possible samples of n = 36, what proportion will have sample means greater than 43?
c. of all the possible samples of n = 36, what proportion will have sample means less than 34?

Click here to see answer by robertb(5830) About Me 

Question 387251: let p,q,and r be the following statement:
p:jamie is on the train.
q: slyvia is at the park.
r:nigel is in the car.
translate the following statement into english (p v ~q)r

Click here to see answer by Jk22(389) About Me 

Question 387336: (Binomial Distribution)
three normal six-sided dice are thrown.find the probability of obtaining
(a) three odd numbers.
my answer:
X~Bin(18, 1/2) <-----because i think there will be 18 numbers
<-----(1/2) will be odd numbers and another (1/2)will be even no.
P(X=3) = [(18C3) * {(1/2)^3} * {(1- 1/2)^15} ]
= 51/16384
but,i think my answer is wrong.please correct me if i'm wrong.

Click here to see answer by stanbon(75887) About Me 

Question 387353: I am not sure I got this correct here is the word problem:
One thousand raffle tickets are sold for $2.00 each. One grand prise of $800 and two consolation prizes of $100 each will be awarded. Samuel purchaases one ticket. Find the expected value. (Show ALL your work in full or credit will not be given)
This is waht I have but I am not sure I did it correct. Please help me :)
1/1000 * 798 + 2/1000 * 98 + 997/1000 * -2
= .798 + .196 - 1.994 = .764
so Samuels expected value is .76 cents.
Is this correct? If not can anyone help me out.
Thank you very much.

Click here to see answer by stanbon(75887) About Me 

Question 387357: A study conducted at a certain college shows that 62% of the schools graduates find a job in their chosen feild within a year after graduation what is the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen feild
Click here to see answer by stanbon(75887) About Me 

Question 387397: This is a three part question that I need help with please. Thank you!
A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy?
A. State the null and alternative hypotheses
B. Compute the value of the appropriate test statistic.
C. At a (probability of type error 1)=0.01 level of significance, what is your conclusion? 1)Do not reject hypothesis. 2) Reject b/c there is evidence that the target is higher. 3) Reject b/c there is not enough evidence the targets true variance is larger. 4) Cannot determine.

Click here to see answer by stanbon(75887) About Me 

Question 387459: Describe what type I and II error would be for the following null hypotheses:
Ho: There is no difference between steam and chemical carpet cleaning methods.

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Question 387451: An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that under new management, the mean completion time,m , is less than 70 minutes. To test this claim, a random sample of 15 completion times under new management was taken.
The sample had a mean completion time of 68 minutes and a standard deviation of 10 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time,m , under new management is less than the scheduled mean?
Perform a one-tailed test. Then fill in the table below.

Click here to see answer by stanbon(75887) About Me 

Question 387435: my question is this?
1.In a box of 12 parts 5 are defective. Two parts are selected with out replacement. What is the probability that a least one of the parts is defective?
2. A pizza can be made with 7 different cheese and 2 of 8 different topping. how many different combinations are possible.
i want to know how to solve this problem? step-by-step leading to the answer.

Click here to see answer by edjones(8007) About Me 

Question 387546: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year.
a. according to Chebyshevs therom, at least 8/9 of the scores lie between what. round to 1 decimal place
b.according to Chebysev therom, at least what % lies between 28.7 and 72.7

c.supposed the distrubution is bell shaped. according to the empirical rule, approx what percentof the scores lie between 28.7 and 72.7
d. suppose that the distubution list is bel shaped, according to the empiricial rule approx 68 % of the scores are between what
iam so lost on this ,not sure where to start

Click here to see answer by stanbon(75887) About Me 

Question 387539: A die is rolled five times.Determine the probability of obtaining 3 sixes
Click here to see answer by stanbon(75887) About Me 

Question 387566: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).

rolling a sum of 4 on two fair six sided dice
drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace.
rolling a sum of 11 on two fair six sided dice
rolling a sum of 7 on two fair six sided dice
drawing a three out of a standard 52 card deck given it’s not a face card or an Ace

the fractions I come up with no matches
1/13 drawing 3 out of deck of cards
2/52 drawing a black 7 out of deck of cards
6/36 = 1/6 rolling 7
2/36 rolling 11

Click here to see answer by stanbon(75887) About Me 
Question 387566: Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).

rolling a sum of 4 on two fair six sided dice
drawing a black seven out of a standard 52 card deck given it’s not a face card or an Ace.
rolling a sum of 11 on two fair six sided dice
rolling a sum of 7 on two fair six sided dice
drawing a three out of a standard 52 card deck given it’s not a face card or an Ace

the fractions I come up with no matches
1/13 drawing 3 out of deck of cards
2/52 drawing a black 7 out of deck of cards
6/36 = 1/6 rolling 7
2/36 rolling 11

Click here to see answer by ewatrrr(24785) About Me 

Question 387675: Q.1
Mary has three children.What is the probablility that none of the three children are boys?
Ans : a. 1/2
b. 1/3
c. 3/4
d. 1

Click here to see answer by rapaljer(4671) About Me 

Question 316800: Six students (four juniors and two seniors) must be split into three pairs. If the pairs are chosen randomly, what is the probability that the two seniors form one pair? Express your answer as a common fraction.
Click here to see answer by geometry8(1) About Me 

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, 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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, 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