Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 456648: A traffic light is red for 25 sec, yellow for 5 sec, and green for 55 sec. What is the probability that when you reach the light, " The Light Will Not Be Green." I need a tutor to check my solution and tell me if it is correct, if not PLEASE help me understand where I went wrong."
25 + 5 + = 85% (100%)
( 25 + 5)= 30 is the time not green
25/85= 0.353 then x100 to make a percentage
(25 +5) (25 +5 +55 ) 30 /85 = 6/17 35.29% not green
or another way I did was
25 + 5 + 55+ 85 sec.
55/85= 65% of the time
71 % chance it won't be red.
Very confused on this problem!
Click here to see answer by sudhanshu_kmr(1152)   |
Question 456624: Find the probability of at least 2 girls in 7 births. assume that male and female births are equally likely and that the births are independent events.
Answer: using binomcdf function 1-binomcdf(7,1/2,1)= .09375
I get this what I am not understanding is Why? I understand why I would use cdf vs pdf, because we are not looking for an exact count and each birth has a 1 out of 2 chance at being a girl. What I am confused about is that if n=7 p=1/2, and x=1 which is less than n. why is it that this formula is the only one that gives me the right answer?
Signed,
Just trying to understand
Click here to see answer by sudhanshu_kmr(1152) |
Question 456673: 14. Based on the information given for each of the following studies, decide
whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or
cutoffs) on the comparison distribution at which the null hypothesis should be
rejected, (b) the Z score on the comparison distribution for the sample score, and
(c) your conclusion. Assume that all populations are normally distributed.
Click here to see answer by edjones(8007)  |
Question 456601: In a high school graduating class of 72 students, 28 are on the honor roll. Of these 18 are going on to college, and of the other 44 students, 12 are going on to college. If a student is selected at random from the class, what is the probability that the person chosen is (a) going to college, (b) not going to college, and (c) on the honor roll, but not going to college?
Click here to see answer by edjones(8007) |
Question 456715: A paper bag contains 7 white marbles, 4 black marbles, and 2 blue marbles, if each time you pick a marble, the marble is placed back into the bag, what is the percent probability of selecting a white marble and then a black marble in that order?
Click here to see answer by stanbon(75887) |
Question 456741: What is the crude death rate from cancer for a city of 101,567 for the year 2003 (Rates measure something for a specific unit of time – in or example that would be the year 2003) their were 1201 cancer deaths that year?
What is the answer? Round off your answer to a whole number. How did you arrive at the answer
Click here to see answer by stanbon(75887) |
Question 456839: In a survey of women in the United States (ages 20-29), the mean height is 69.9 inches with a standard deviation 3.0 inches.
a. What height represents the 95th percentile?
b. What height represents the first quartile?
Click here to see answer by stanbon(75887) |
Question 456836: A vending machine dispenses coffee into an eight-ounces cup. The amounts of coffee dispensed into the cup are normally distributed with a standard deviation 0.01 ounce. You can allow the cup to overfill 1% of the time. What amount you should set as the mean amount of coffee to be dispensed?
Click here to see answer by stanbon(75887) |
Question 456847: A machine used to fill half-gallon-sized milk containers is regulated so that the amount of milk dispensed has a mean of 64 ounces and a standard deviation of 0.11 ounces. You randomly select 40 containers and carefully measure the contents. The sample mean of the containers is 64.05 ounces Does the machine need to be reset? Explain your reasoning.
Click here to see answer by stanbon(75887) |
Question 456806: Thank you so much for helping me out!! My question is:
An admissions test given by a university contains 10 true/false questions. 8 or more must be answered correctly in order to be admitted.
a) How many different ways can the answer sheet be filled out?
b) How many different ways can the answer sheet be filled out so that 8 or more questions are answered correctly?
Click here to see answer by edjones(8007) |
Question 456886: One card is selected at random from a deck of cards. Determine the probability that the card selected is a red card and a black card.
This is what I tried:
P(a red card and a black card) = number of outcomes the result will be a red card and a black card/total number of possible outcomes
= 26/52
= 1/2
Click here to see answer by edjones(8007) |
Question 456846: The mean price of photo printers o website is $235 with a standard deviation of $62. Random samples of size 20 are randomly drawn from this population and the mean of each sample is determined. Find the mean and the standard deviation of the sampling distribution.
Click here to see answer by edjones(8007) |
Question 371108: There are ten raffle tickets, two of which are winners. Find the probability that in a sample of 6 tickets there will be no more than one winning ticket. I am more concerned with how to find the answer then I am with what the actual answer is. Can you please explain. Thanks.
Click here to see answer by spacesurfer(12) |
Question 456932: Could you please help me to solve this problem?
Must show work
A sample of 20 elements produced a mean of 58 and a standard deviation of 12. Assuming the population has a normal distribution, find the 90% confidence interval for the population mean.
Click here to see answer by edjones(8007) |
Question 456948: I'm having difficulty with several parts of this problem. I've made some headway, but I'm fearful that it is all somewhat off so far. I'm finding this very frustrating. It's a multi-part problem. I'm really trying to learn the reasons behind these questions. Would anyone be willing to help me with the steps of how to get to the conclusions?
It might be supposed that rainy days would tend to be cooler than days without rain, other factors being equal. Furthermore, if that rain is widespread enough to affect more than one reporting station in a city, the effect might be expected to be even more pronounced.
The following output from the Excel Analysis ToolPak, shows a regression analysis on a year of Houston weather data. Precipitation data were collected for George Bush International Airport (KIAH) and for Hobby Airport (KHOU), coded as 1 for precipitation and 0 for no precipitation. These values were used as "binary predictors". The dependent variable is the departure of the daily high temperature from the 30 year normal for the date. So, for example, a day with a high temperature two degrees below normal would be shown as a departure value of -2.0.
Regression Statistics
Multiple R 0.1768
R Square 0.0313
Adjusted R Square 0.0258
Standard Error 6.8608
Observations 360
ANOVA
______________df________SS____________MS________F_______Significance F
Regression_____2________542.19_______271.10____5.7594____0.0035
Residual_______357______16804.16_____47.07
Total__________359______17346.35
_________Coefficients____Standard Error_t Stat__P-value_Lower 95%_Upper 95%
Intercept______ 2.6668___0.4381________ 6.0878__0.0000__ 1.8053___3.5283
KIAH_Precip____-2.3840___1.0423________-2.2873__0.0228__-4.4337___-0.3342
KHOU_Precip____-0.6236___0.9994________-0.6240__0.5331__-2.5890___1.3419
a) Write the fitted regression equation
b) What does the R-squared value tell you?
c) What, if any, meaning does the intercept have?
d) Other things being equal, is the temperature warmer on days with or without rain at KIAH?
e) Does the 95% confidence interval for KIAH_Precip slope give us any confidence that precip vs. no precip at KIAH is an important predictor of temperature?
f) Describe the fit of this regression
Click here to see answer by stanbon(75887) |
Question 457037: A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain.
BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.35ounces, what is the minimum sample size needed in order for BIG to be 95%confident that its estimate is within 0.05ounces of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Click here to see answer by stanbon(75887) |
Question 456931: Could you please help me to solve this question
Must show work
A sample of 100 elements produced a mean of 84 and a standard deviation of 8. Find the 99% confidence interval for the population mean. Assume the population is normally distributed.
Click here to see answer by stanbon(75887) |
Question 456928: Could you please help me to solve this part question.
Must show work.
A population has a normal distribution with a mean of 130 and a standard deviation of 30. Find the probability that a single element selected from the population will have a value between 139.50 and 167.25.
Use the population described in problem 2 above. Now find the probability that the sample mean for a sample of 16 elements selected from the population will be between 139.50 and 167.25.
Explain the reason the answers to the above are different.
Click here to see answer by stanbon(75887) |
Question 457120: Consider a large population of scores from a bimodal distribution with mean μ = 64 and standard deviation σ = 16. Imagine that you randomly selected a sample from that population that contained 47 scores. What is the PROBABILITY that the mean of the sample is above 70?
Click here to see answer by stanbon(75887) |
Question 457104: Of the 6 courses offered by the music department at her college, Kay must choose exactly 2 of them. How many different combinations of 2 courses are possible for Kay if there are no restrictions on which 2 courses she can choose?
Click here to see answer by stanbon(75887) |
Question 457101: hello here is a exam question i have on my practice paper
:
Emilia picks up a chocolate at random from a box.
All the chocolates in the box are identically wrapped.
The probability that she picks a caramel is 5/8.
Sophie picks a chocolate at random from a different box.
All the chocolates in Sophie's box are identically wrapped.
The probability that she picks up a caramel is denoted by P.
The probability that both Emilia and Sophie pick a caramel is 1/4
Emilia's box
P(emilia picks a caramal)=5/8
Sophies box
P(Sophie picks a caramel)=P
(a)Work out the value of P.
(b)calculate the probability that Neither emilia nor sophie picks a caramel
Please help me with these and tell me step step instructions what to do and tips
thanks so much for your time
Click here to see answer by stanbon(75887) |
Question 457091: The following distribution is not a probability distribution because
The following distribution is NOT a probability distribution because
X -2 -1 0 1 2
P(X) 0.13 0.19 0.42 0.16 0.27
A)
the values of the variable are negative.
B)
the probability values are not increasing.
C)
the probability values do not add to 1.
D)
the probability values are not discrete.
Click here to see answer by stanbon(75887) |
Question 457143: The recovery rate from a flu is 0.9. If 4 people have this flu, what is the probability that:
a) all will recover?
b) at least 2 will recover?
c) exactly 2 will recover?
Assume independence.
Thanks so much for your help!
Click here to see answer by stanbon(75887) |
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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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