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

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

Question 1007537: Which of the following is the probability of drawing a black card or a face card from a standard deck of cards?
1/2
19/26
3/26
8/13
Thank you!
Click here to see answer by fractalier(6550)

Question 1007587: What is the probability of getting a queen or a spade?
Click here to see answer by fractalier(6550)

Question 1007592: If two cards are drawn, what is the probability of getting a heart and then a diamond?
Click here to see answer by fractalier(6550)

Question 1007680: Given the following information, construct a 95% CI. Assume the standard deviation values are unknown.
xbar1=78, s1=6, with n1=25
xbar2=86, s2=5, with n2=49
Click here to see answer by stanbon(75887)

Question 1007535: About 30% of the US population is under 20 years old. About 17% of the population is over 60. Which of the following is the probability that a person chosen at random is under 20 or over 60?
17%
53%
47%
30%
I think it's 47%. am i right?
Click here to see answer by jim_thompson5910(35256)

Question 1007781: Let A = {0, 1, 3, 4, 6, 8}. List the ordered pairs of the following relations on A: P = {(x; y) | y = x + 2}
Click here to see answer by fractalier(6550)

Question 1007721: Dear tutor, I am having a problem with this question. any help is really appreciated.
Q.Find the critical value or values of χ2 based on the given information.
H0: σ = 8.0
n = 10
α = 0.01
A) 23.209 B) 21.666 C) 1.735, 23.589 D) 2.088, 21.666
I was going to use test of a single variance formula to solve this problem. but they did not state sample standard deviation. therefore I am not sure how to approach this question. Thank you in advance.

Click here to see answer by rothauserc(4718)

Question 1007906: what is the probability of obtaining x=490 or more individuals with the caracteristic
Click here to see answer by stanbon(75887)

Question 1007909: IQs are normally distributed with mean 100 and standard deviation 16.
a) Less than 110
P(110 b) Between 110 and 130

P(110 c) More than 130
P(130 that is how i had it set up... am i just taking (iq score - mean) and dividing it by 16 to get the percentage? what do i with less, between or more though?
Click here to see answer by stanbon(75887)

Question 1007879: Is it possible to calculate actual standard deviation for the following data?
Please explain and show how.
Class, Frequency f
21-25, 5
26-30, 3
31-35, 8
36-40, 12
41-45, 21
46-50, 38
51-55, 35
56-60, 20

Click here to see answer by MathTherapy(10549)

Question 1007965: Can someone PLEASE HELP!!!
Suppose we want to determine the (binomial) probability (p) of getting 5 heads in 15 flips of a 2-sided coin. Using the Binomial table in the appendix of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?
Click here to see answer by Theo(13342)

Question 1007970: A website requires its passwords to be 2 digits followed by 4 letters of the alphabet followed by one of 7 special characters. How many such passwords are possible?
Click here to see answer by fractalier(6550)

Question 1008045: The sum of two numbers is
55
. The larger number is
11
more than the smaller number. What are the numbers?
Click here to see answer by fractalier(6550)

Question 1007971: A parent in a candy store tells her child that she can select 2 pieces of candy from the bins in the store. There are 50 bins with different types of candy. How many different candy choices could the child make if each type of candy is different.
Click here to see answer by fractalier(6550)

Question 1008118: In a statistics class there 30 females and 20 males; 18 of the females are freshmen and 12 of the males are sophomores. If a student is selected at random, find the probability of selecting a male or a freshman.
Click here to see answer by fractalier(6550)

Question 1008073: PLEASE HELP ME, I would really appreciate it.
A student goes to swim practice several times a week. In any given week the probability that he swims three times is 0.20, two times is 0.45, one time is 0.20, and no times is 0.15. Find the expected number of times the student goes to practice in any given week.
Click here to see answer by Boreal(15235)

Question 1008075: According to a rating survey, 58% of the households in a certain city tune in to the local evening TV news. If ten households are visited at random, what is the probability that three of them will have their television tuned to the local news? (Round answer to five decimal places.)
Click here to see answer by Boreal(15235)

Question 1008074: PLEASE HELP ME, I would really appreciate it.
A safe containing $1,000,000 is locked with a combination lock. You pay $16 for one guess at the six-digit combination. If you open the lock, you get to keep the million dollars. What is your expectation? (Each of the six digits is a number from 0 to 9. Repeated digits are allowed. Round your answer to the nearest cent.)
Click here to see answer by stanbon(75887)

Question 1008129: In a statistics class there are 30 females and 20 males; 18 of the females are freshmen and 12 of the males are sophomores. If a student is selected at random, find the probability of selecting a sophomore given that the student is female.
Click here to see answer by fractalier(6550)

Question 1008131: A box contains 15 marbles. Five of the marbles are blue, six are green, and four are red. If 4 marbles are selected from the box one at a time, find the probability that they are all green if selection is with replacement.
Click here to see answer by fractalier(6550)

Question 1008133: A box contains 15 marbles. Five of the marbles are blue, six are green, and four are red. If 4 marbles are selected from the box one at a time, find the probability of selecting 4 green marbles if selection is without replacement.
Click here to see answer by fractalier(6550)

Question 1008070: PLEASE HELP ME
Find the expected value (or expectation) of the game described.

A bag contains three silver dollars and twelve slugs. You pay 50 cents to reach into the bag and take a coin, which you get to keep.
Click here to see answer by Edwin McCravy(20054)

Question 1008276: Three Mathematics books, five English books, four Science books and a dictionary are to be placed on a student's shelf so that the books of each subject remain together.
(a) In how many different ways can the books be arranged?
(b) In how many of these will the dictionary be next to the Mathematics books?
Click here to see answer by Edwin McCravy(20054)

Question 1008267: Describe all about un grouped data and grouped data
Click here to see answer by ikleyn(52752)

Question 1008287: In the formula for variance of values in a sample ∑(x-xbar)^2/n-1, what is required for the variance to equal zero?

The Empirical Rule indicates that we can expect to find what proportion of the sample included within + or - 2 sd?
Click here to see answer by stanbon(75887)

Question 1008275: Three boys and three girls are to sit on a bench for a photograph. Find the number of ways this can be done if three girls must all sit apart.
Click here to see answer by Edwin McCravy(20054)

Question 1008274: Three boys and three girls are to sit on a bench for a photograph. Find the number of ways this can be done if the three girls must sit together.
Click here to see answer by Edwin McCravy(20054)

Question 1008328: Dear tutor, I have a hard time calculating the variance of the means. almost spent 3 hrs to figure this out. but still no luck.
Any help is appreciated. Thank you.
Q.The table shows the means and variances from 5 experimental conditions. Compute the variance of the means.
Mean Variance
4.5 1.33
7.2 0.98
3.4 1.03
9.1 0.78
1.2 0.56
What I did was I added all the variance and divided by (1/25) but I do not get the answer 9.717
ANSWER : 9.717
Thank you in advance!
Click here to see answer by Edwin McCravy(20054)

Question 1008273: Find the number of ways in which seven different toys can be given to three children, if the youngest is to receive three toys and the others receive two toys each.
Click here to see answer by Edwin McCravy(20054)

Question 1008335: A survey of MAT 101 and 102 students showed 94 owned laptops, 19 owned a laptop and a calculator and 9 owned only a calculator. With the entire number of students surveyed being 185, find the probabilities that a randomly selected MAT 101/102 student:
a)Does not own a laptop or a calculator.
b)Does not own a laptop.
c)Owns a laptop or a calculator, but not both.
Click here to see answer by stanbon(75887)

Question 1008337: Five peas are generated from parents having the green/yellow pair of genes, so there is a .75 probability that an individual pea will have a green pod. Find the probability that among the 55 offspring peas, at least 4 have green pods. Is it unusual to get at least 4 peas with green pods when 5 offspring peas are generated? Why or why not?
The probability that at least 4 of the 5 offspring peas have green pods is
nothing.
(Round to three decimal places as needed.)
Is it unusual to randomly select 5 peas and find that at least 4 of them have a green pod? Note that a small probability is one that is less than 0.05.
A.
No, because the probability of this occurring is very small.
B.
Yes, because the probability of this occurring is not small.
C.
Yes, because the probability of this occurring is very small.
D.
No, because the probability of this occurring is not small.
Click here to see answer by stanbon(75887)

Question 1008341: Heights of women have a bell-shaped distribution with a mean of 159 cm and a standard deviation of 66 cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 33 standard deviations of the mean? What are the minimum and maximum heights that are within 33 standard deviations of the mean?
At least __ % of women have heights within 33 standard deviations of 159 cm.
(Round to the nearest percent as needed.)
The minimum height that is within 33 standard deviations of the mean is
____ cm.
The maximum height that is within 33 standard deviations of the mean is
____ cm.
Click here to see answer by stanbon(75887)

Question 1008340: A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is 5.
a. What is the standard deviation of the mean?
b. At 90% confidence, what is the margin of error?
c. What is 90% confidence interval estimate for the population mean?
d. At 95% confidence, what is the margin of error?
e. What is 95% confidence interval estimate for the population mean?
Click here to see answer by stanbon(75887)

Question 1008366: An information technology company produces 44% of its computer chips at a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is known that 0.75% of the chips produced in St. Louis are defective, while 0.95% of the chips produced at the plant in Chicago are defective. What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?
Click here to see answer by jim_thompson5910(35256)

Question 1008627: 25 red chips 25 blue chips 25 green chips, how many color chips must you take to make sure you get atleast three color chips?
Click here to see answer by fractalier(6550)

Question 1008686: In repairing a helicopter component, a recent sample of 18 repairs showed that the mean time between failure (MTBF) is 520 hours, with a SD of 17 hours. An unsolicited modification proposal is received which is supposed to increase the MTBF, thereby saving the government money. Tests are run on 10 components using this proposal resulting in the following time to failure data:
{518, 548, 561, 523, 536, 499, 538, 557, 528, 563}.
Determine if there is something to this proposed mod and if it has any possible future.
What significance level will you use and why?
Test the Theory at your SL and comment on the results, telling your manager what you think of this unsolicited proposal.
Test the claim by using a Confidence Interval. Interpret the results with respect to the possible political ramifications.

Click here to see answer by stanbon(75887)

Question 1008702: Suppose A and B are dependent events. If P(A|B)=0.55 and P(B)=0.4,what is P(A U B)?
Click here to see answer by stanbon(75887)

Question 1008702: Suppose A and B are dependent events. If P(A|B)=0.55 and P(B)=0.4,what is P(A U B)?
Click here to see answer by Edwin McCravy(20054)

Question 1008407: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. list all the possible itineraries for the company's outing. is there any method or device to find the different itineraries? show solution and explain.
Click here to see answer by fractalier(6550)

Question 1008406: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. list all the possible itineraries for the company's outing. does the arrangement of the itineraries matter in the enjoyment of the employees? is there any method or device to find the different itineraries? show solution and explain.
Click here to see answer by fractalier(6550)

Question 1008405: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. how many itineraries are possible? show solution.
Click here to see answer by fractalier(6550)

Question 1008404: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. does the arrangement of the itineraries matter in the enjoyment of the employees? Is there any other method or device to find the different itineraries? explain.
Click here to see answer by fractalier(6550)

Question 1008403: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. List all the possible itineraries for the company's outing and how many itineraries are possible? show solution.
Click here to see answer by fractalier(6550)

Question 1007874: Is it possible to calculate the actual standard deviation for the following data? Please explain.
Class, Frequency f
21-25, 5
26-30, 3
31-35, 8
36-40, 12
41-45, 21
46-50, 38
51-55, 35
56-60, 20

Click here to see answer by Fombitz(32388)

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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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