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

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Question 1138895: 77% of u.s adults think that politcal correctness is a problem in america today. you randomly select six U.S. adults and ask them whether they think that political correctness is a problem in america today. the random variable represents the number of U.S. adults who think that political correctness is a problem in america today.
Click here to see answer by ikleyn(53751) About Me 

Question 1138827: Find the range for the given sample data.
Jorge has his own business as a painter. The amounts he made in the last five months are shown below.
$2442 $2547 $1676 $2192 $1208

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

Question 1138766: Use the normal distribution to approximate the desired probability.
A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?

.4418 , yes

.4418 , no

.0582 , yes

.0582 , no

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Question 1138803: A survey of 448 students at a small college showed that 234 students responded
that they did not like to ski, 100 students responded that they played hockey,
and that there were 189 students the neither skied nor played hockey. Without
the use of a Venn Diagram, determine the probability that a randomly selected
student both skied and played hockey. Make sure that you define all the
appropriate sets needed to solve the problem, convert the phrases in the above
sentences to set theoretic notation, and show the steps.

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1138937: A person says he was born in a leap year. What is the probability that he was born :

(a)christmas day (b) In January (c) In June (d) in February (e) Before May 1st?
Thank you

Click here to see answer by ikleyn(53751) About Me 

Question 1138921: a pair of brown or black sandals is available in sizes 7 8 or 9 if the shoe salesman chooses a random pair of those sandals what is the probability he will choose the black sandals in size 8.
Click here to see answer by ikleyn(53751) About Me 

Question 1138943: Please help with this statistics question

In a survey conducted during the previous year by the World Council of
Engineers it was revealed that 16 out of a random sample of 64 of engineers
were female. It is assumed that the current rate is persisting worldwide. A sample of 1 000 engineers is selected
3.2.1 Calculate the probability that at most 375 of them will be female.
3.2.2 Calculate the probability that at least 420 of them will be female.

Click here to see answer by rothauserc(4718) About Me 

Question 1138957: In a study of the accuracy of fast food​ drive-through orders, one restaurant had 3636 orders that were not accurate among 306306 orders observed. Use a 0.050.05 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?
Click here to see answer by Boreal(15235) About Me 

Question 1138951: Two cards are chosen at random from a deck of 52 cards without replacement. What is the probability that the first card is a jack and the second card is a ten?

Click here to see answer by Boreal(15235) About Me 

Question 1138941: Every hour a certain traffic light is green for 45 min, orange for 1 minutes and red for 14
minutes. A taxi passes the same traffic light 9 times a day.
1. What is the probability that the light is green on all occasions?
2. What is the probability that the light is not red on at least 3 occasions.

Click here to see answer by Boreal(15235) About Me 

Question 1138922: The widget factory samples 75 widgets and finds 3 defective ones. If the factory produces 500 widgets a day, how many defective widgets can they expect to produce?
Click here to see answer by ikleyn(53751) About Me 

Question 1138826: Use the data to create a stemplot.
The following data show the number of laps run by each participant in a marathon.
46 65 55 43 51 48 57 30 43 49 32 56

Click here to see answer by Edwin McCravy(20077) About Me 

Question 1138975: A poll was taken of 13,863 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows.
Education level Male Female total
Highschool or less 3043 2133 5176
Bachelor's Degree 3428 4150 7578
Master's Degree 544 423 977
PH.D 72 60 132
Total 7097 6766 13863
A person is selected at random. Compute the probability that the person is male or has a Ph.D.

Click here to see answer by ikleyn(53751) About Me 

Question 1139018: An urn contains 10 red balls and 20 green balls if 4 balls are drawn at one time without replacement what is the probability that the sequence of colors will be red green green red
Click here to see answer by VFBundy(438) About Me 

Question 1139017: What is the probability that out of a group of five people, at least two people have the same birthday? note assume that there are 365 days in a year
Click here to see answer by VFBundy(438) About Me 

Question 1139022: Jim is one of 24 students. If his teacher randomly selects 4 students without replacement. what is the probability of Jim not getting selected?
Click here to see answer by ikleyn(53751) About Me 

Question 1139021: A box has 5 blue and 9 green jelly beans. A bag has 7 blue and 3 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.) ALL AND ANY HELP IS VERY MUCH APPRECIATED :)
Click here to see answer by ikleyn(53751) About Me 

Question 1139005: Find the number n of distinct permutations that can be formed from all the letters of :THOSE
Click here to see answer by ikleyn(53751) About Me 

Question 1139028: Out of the 50 colleges 25 are private 15 offer engineering majors and five are private colleges offering engineering majors. Find the probability that a College selected at random from the state
Click here to see answer by greenestamps(13327) About Me 

Question 1139007: If you toss a fair dice 180 times. Find the expected number of thimes that the number"6" will come up and the standard deviation?
Click here to see answer by Boreal(15235) About Me 

Question 1139041: How would standard (z) scores of -2.00 and +2.00 be
interpreted using the Standard Normal Distribution

Click here to see answer by Boreal(15235) About Me 

Question 1139056: Thando’s father owns an estate agency that sells an average of 2 homes per day. What is the
probability that exactly 3 homes will be sold tomorrow?

Click here to see answer by ikleyn(53751) About Me 

Question 1139040: need help in Finding the z-score for the standard normal distribution where: P(z < +a) = 0.8980
Click here to see answer by Theo(13342) About Me 

Question 1139067: A 4-card hand is drawn from a standard deck of 52 cards. Find the probability that the hand contains the given cards: four of the same suit
Click here to see answer by rothauserc(4718) About Me 

Question 1139066: An urn has 6 balls that are identical except that 3 are white and 3 are red. A sample of 4 is selected randomly without replacement.
What is the probability that exactly 2 are white and 2 are red?


What is the probability that at least 2 of the balls are white?

Click here to see answer by rothauserc(4718) About Me 

Question 1139065: A box has 5 blue and 9 green jelly beans. A bag has 7 blue and 3 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
Click here to see answer by ikleyn(53751) About Me 

Question 1139068: A red dye and a green die are rolled as a pair. Let E be the event that "the red die shows a 2" and let F be the event that "the sum of the numbers is 8." Are the events E and F independent?
Click here to see answer by ikleyn(53751) About Me 

Question 1139055: The breaking strengths of metal spokes in bicycle tires are normally distributed with mean
µ = 23.56 Newtons and standard deviation, σ = 4.55. What proportion of spokes would have
a breaking strength of 14.45 or less?

Click here to see answer by Boreal(15235) About Me 

Question 1139092: Can someone help me? I think I got confused while rounding.
Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:
Grades: 96, 68.4, 83.2, 66.5, 88, 83.2, 85.5, 96, 88, 96.

Test grades are believed to be normally distributed.
Use a significance level of 5%.
State the mean of the sample:
State the standard error of the sample means:
State the test statistic:
State the p-value:

Click here to see answer by Theo(13342) About Me 

Question 1139043: Patty is picking peppermints off a tree. They come in two colors , red and white . She picks fewer than 100 total peppermints but at least one of each color . The white flavor is stronger , so she prefers red to white . Thus , she always picks fewer white peppermints than TEN times the number of reds. How many different combinations of peppermints can she go home with ?
The answer is 4446. Kindly help solve this . Thanks !!

Click here to see answer by greenestamps(13327) About Me 

Question 1139136: I have figured out everything else but the p-value. I would like to know the correct steps in order to proceed with the rest of the problem.
A simple random sample of
42
men from a normally distributed population results in a standard deviation of
11.1
beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of
10
beats per minute. Use the sample results with a
0.05
significance level to test the claim that pulse rates of men have a standard deviation equal to
10
beats per minute. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below.





A.

Upper H 0 : sigma equals 10H0: σ=10
beats per minute
Upper H 1 : sigma not equals 10H1: σ≠10
beats per minuteYour answer is correct.

B.

Upper H 0 : sigma greater than or equals 10H0: σ≥10
beats per minute
Upper H 1 : sigma less than 10H1: σ<10
beats per minute

C.

Upper H 0 : sigma equals 10H0: σ=10
beats per minute
Upper H 1 : sigma less than 10H1: σ<10
beats per minute

D.

Upper H 0 : sigma not equals 10H0: σ≠10
beats per minute
Upper H 1 : sigma equals 10H1: σ=10
beats per minute
b. Compute the test statistic.


chi squaredχ2equals=50.516
​(Round to three decimal places as​ needed.)
c. Find the​ P-value.


Click here to see answer by rothauserc(4718) About Me 

Question 1139140: Let A and B be independent events with pr(A)= .3 and pr(B)b=.4 What is the probability that exactly one of the events A or B occurs?
Click here to see answer by ikleyn(53751) About Me 

Question 1139144: There is a desktop computer with 72 process cores. suppose the probability that a given processor core will crash in 120 hours of use is .003 and that the failures of the various processor cores are independent of one another. what is the probability that no processor core will crash during the first 120 hours of use?
Click here to see answer by ikleyn(53751) About Me 

Question 1139143: A true-false exam has 10 questions. Assuming that the questions are independent and that a student is guessing, find the probability that they get 100%
Click here to see answer by ikleyn(53751) About Me 

Question 1139145: Assume that the population of heights of adult males has a normal distribution with a mean of 174.1 centimeters and a standard deviation of 7.1 centimeters.
A. If a sample of size 100 adult males results in a means height of 172.0 cm, how many standard deviations is the sample mean away from the population mean?
B. What is the probability that a second sample of 100 adult males will have a mean less than 172.0 cm?

Click here to see answer by Boreal(15235) About Me 

Question 1139142: A medical screening program administers three independent tests. of the person taking the test 80% pass test 1, 75% pass Test 2 and 60% pass test 3. a participant is chosen at random. What is the probability that they will pass at least two of the three tests
Click here to see answer by Boreal(15235) About Me 

Question 1139084: Please reveiw and explain if I have anything incorrect

The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Calculate to determine the correlation coefficient? Does this indicate a good fit - why or why not?
Hours: 5,Score: 64; Hours: 10, Score: 86; Hours: 4, Score: 69; Hours: 6, Score: 86; Hours: 10, Score 59; Hours: 9, Score: 87.
correlation coefficient = 0.22 (rounded to the nearest hundred)
Does this indicate a good fit? No due to the relationship between the hours and scores are weak and the correlation coefficient is not close to 1, which would be a good fit.

Click here to see answer by Boreal(15235) About Me 

Question 1139152: if two dice are thrown what are the various total number of dots that may turn up? what are the probability of each of them.what are the probability that number of dots will total at least 4

Click here to see answer by Boreal(15235) About Me 
Question 1139152: if two dice are thrown what are the various total number of dots that may turn up? what are the probability of each of them.what are the probability that number of dots will total at least 4

Click here to see answer by ikleyn(53751) About Me 

Question 1138901: It is said that happy and healthy workers are efficient and productive. A company that manufactures exercising machines wanted to know the percentage of large companies that provide on-site health club facilities. A sample of 200 such companies showed that 150 of them provide such facilities on site.
What is the point estimate of the percentage of all such companies that provide such facilities on site and Construct a 98% confidence interval for the percentage of all such companies that provide such facilities on site as well as find the margin of error for this estimate?

Click here to see answer by Boreal(15235) About Me 

Question 1138920: do when a carnival prize you need to choose one of three doors labeled 1 through 3 then you need to choose a red yellow and blue box behind each door. what is the probability that the prize is in the blue or yellow box behind door 2?
Click here to see answer by Boreal(15235) About Me 

Question 1139170: A group of 10 men and 13 women at a business select 7 from their group to attend a
conference. How many ways can they select exactly 3 men and 4 women from this group? Give a symbolic answer, and evaluate it numerically.
I ended up with 835 ways. I to 10!/(10-3)!3! to get 120 for men. Did the same equation for women and got 715 women. Then added them together. Not sure if this is correct or not.

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

Question 1139163: How many 6-character license plates can be made where the first three characters
are any of 26 letters and the last three are digits 0 - 9 (repeats allowed)? Give an exact numerical answer.

Click here to see answer by ikleyn(53751) About Me 

Question 1139182: If 3.5% of 80,000 parts are defective (2800) then what is the probability of pulling 20,000 random parts with zero defects?
What is the formula to answer the question and the probability please.

Click here to see answer by ikleyn(53751) 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, 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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