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

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Question 1180334: The annual rainfall in a certain region is approximately normally distributed with mean 41.1 inches and standard deviation 5.3 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 43 inches?
b) What percentage of years will have an annual rainfall of more than 39 inches?
c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

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Question 1180333: A distribution of values is normal with a mean of 40.2 and a standard deviation of 61.1.
Find P45, which is the score separating the bottom 45% from the top 55%.
P45 =
Enter your answer as a number accurate to 4 decimal places.

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Question 1180377: A carnival game costs $3 to play. You draw 2 cards from a 12 card deck that has 4 red cards, and 8 black cards. The first card you draw is replaced in the deck before your second draw. If you draw two red cards, you win a $10 prize. What is the expected payoff for the player? Interpret your answer in the context of the problem.
Click here to see answer by Boreal(15235) About Me 

Question 1180403: Gasoline Mileage for Autos and Trucks Of the top 10 cars and trucks based on gas mileage, 4 are Hondas, 3 are Toyotas, and 3 are Volkswagens. Choose one at random. Find the probability that it is
a.Japanese
b. Japanese or German
c. Not foreign

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Question 1180231: The average length of the time for people to vote using the old procedure during
the presidential election period in election precinct A is 30 minutes. Using
computerization as a new election method, a random sample of 25 registrants was used
and found to have a mean length of voting time to 24 minutes with a sample standard
deviation of 2.9 minutes. Test the hypothesis in which the population mean is less than
the sample mean.
Solution:
1. H0:
H1:
2. Level of Significance:
3. Test:
4. Critical Region:
5. Solutions:

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Question 1180407: A company producing milk in cans claims that 41% of the mothers prefer
Brand W. A random sample of 105 mothers were asked what brand they prefer
and 57 of them answered they prefer Brand W. Is it correct to conclude that the
company’s claim is true? Use z-test at 2% level of significance.
Solution:
1. H0:
H1:
2. Level of Significance:
3.Test:
4. Critical Region:
5.Solution:
Decision:
Conclusion:

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Question 1180413: A random number generator selects three numbers independently, each from 1 through 10. Find the probability of the event.
All three numbers are less than or equal to 4.

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Question 1180445: Determine y''' of e to the exponent 4x
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Question 1180409: Find the probability for the experiment of selecting one card from a standard deck of 52 playing cards.
The card is a black card.

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Question 1180447: From a bag containing 4 white and 6 black balls, two balls are drawn at random. If the
balls are drawn one after the other without replacement, find the probability that
3.1 both balls are white.
3.2 both balls are black.
3.3 the first ball is white and the second ball is black.

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Question 1180442: You are tasked with assisting a young couple in purchasing a home. The couple wants to buy a house valued at R1 000 000. They intend to put down a deposit of R2 000 000 and repay the remainder over a period of 20 years. If they make payments at the end of each month and interest rate is 12% pear year compounded monthly, calculate their required monthly payments?
Click here to see answer by Theo(13342) About Me 
Question 1180442: You are tasked with assisting a young couple in purchasing a home. The couple wants to buy a house valued at R1 000 000. They intend to put down a deposit of R2 000 000 and repay the remainder over a period of 20 years. If they make payments at the end of each month and interest rate is 12% pear year compounded monthly, calculate their required monthly payments?
Click here to see answer by ikleyn(52754) About Me 

Question 1180441: Roll a fair die five times. List the results and take all random samples of size n=3. Calculate the population mean, population variance,and population standard deviation. Illustrate the sampling distributions of the sample means and sample variances and standard deviations.
Click here to see answer by ikleyn(52754) About Me 

Question 1180485: P(1 or 6)
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Question 1180443: When looking at the competition in your local soccer league, you figure the odds in favour of your team coming first is 3:4. Determine the probability that you don t come first.
Click here to see answer by greenestamps(13195) About Me 

Question 1180491: Assume that all the odd numbers are equally likely, all the even numbers are equally likely, the odd numbers are k times as likely as the even numbers, and Pr[6]=1/18.
What is the value of k?

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Question 1180491: Assume that all the odd numbers are equally likely, all the even numbers are equally likely, the odd numbers are k times as likely as the even numbers, and Pr[6]=1/18.
What is the value of k?

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Question 1180449: Simplify the following complex number and leave your answer in rectangular form
(2∠π/4 )^4 ( 3∠π/3) / 4∠π/2

Click here to see answer by greenestamps(13195) About Me 

Question 1180136: p(z<-1.21)
Click here to see answer by MathLover1(20849) About Me 

Question 1180519: Suppose that 48% of people own dogs. If you pick two people at random, what is
the probability that they both own a dog? Give your answer as a decimal
rounded to 4 places.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1180521: For a standard normal distribution, find:
P(z > -0.78)
Express the probability as a decimal rounded to 4 decimal places.

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Question 1180502: Hey can you help me solve this please. Consider the probability that no less than 99 out of 160 students will graduate on time. Assume the probability that a given student will graduate on time is 57%. Approximate the probability using the normal distribution
Click here to see answer by Boreal(15235) About Me 

Question 1180522: A population of values has a normal distribution with μ =226.1 and σ =41.6
You intend to draw a random sample of size n=239
What is the mean of the distribution of sample means?μ x=
What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
σ
¯
x
=

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Question 1180515: A scientist is worried about a new disease being spread by mosquitoes in an area. The scientist captures a random sample of 137 mosquitoes from the area and tests them to find out whether they carry the disease. In this sample, 22 of the mosquitoes were carrying the disease.
Using this information, the scientist uses 100 simulations of additional samples with the same proportion of disease-carrying mosquitoes from the sample to determine that the standard deviation for the proportion of mosquitoes carrying the disease is approximately 0.029.
What is the margin of error for the estimated proportion of mosquitoes in the area that carry the disease?
A.
0.029
B.
0.321
C.
0.161
D.
0.058

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Question 1180510: Recent research suggests that Americans make an average of 10 phone calls per
day. Let the number of calls be normally distributed with a standard deviation of 3 calls.
Compute the probability that an average American makes phone calls between 4 and 12
calls per day.

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Question 1180427: A certain miller claims that the average weight of a cavan of rice is 50 kg with a
population standard deviation of 2.5. A retailer sampled 20 cavans of this rice and got an
average weight of 46.6 kg. Is the claim of the rice miller valid using 5 % level of significance?

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Question 1180240: In a certain community, the average number of eggs a nine-year old child eats per month is uniformly distributed from 8 to 22 eggs, inclusive. Determine the probability that a randomly selected nine-year old child eats an average of;
more than 13 eggs
Answer for part 1
more than 13 eggs given that his or her amount is more than 10 eggs
Answer for part 2
What is the standard deviation of the number of eggs taken by the nine-year old child?
Answer for part 3

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Question 1180061: The random variable x is best described by a uniform probability distribution with a =100 and b=200. Find the probability that x assumes a value.
I. More than 2 standard deviations from u
II. Less than 3 standard deviations from u
III. Within 2 standard deviation of u

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Question 1180517: A point on FJ is chosen at random. What is the probability it is also on GI?

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Question 1180517: A point on FJ is chosen at random. What is the probability it is also on GI?

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Question 1180545: Susan is using a computer program and must change her password. The prompt states that her password must be five characters long from a set of 12 unique characters, to be used in the password only once. ( no repetitions of characters allowed in the password)
How many different ways are there for Susan to choose her new password?

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Question 1180412: One card is selected at random from a standard deck of 52 playing cards. Use a formula to find the probability of the union of the two events.
The card is a heart or a club.

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Question 1180593: If f(x)=8ln(6x+3ln(x)). Find f'(x)
Click here to see answer by MathLover1(20849) About Me 

Question 1180592: You measure 42 randomly selected textbooks' weights, and find they have a mean weight of 52 ounces. Assume the population standard deviation is 14.8 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places

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Question 1180589: The length of a certain kind of Colorado brook trout is normally distributed with a mean of 13.1 inches and a standard deviation of 1.5 inches.

What minimum size limit should the Department of Natural Resources set if it wishes to allow people to keep 80 percent of the trout they catch?

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Question 1180148: The weight distribution of a sample of adults with physical inabilities is approximately normal, with mean 72 and standard deviation 8. Find an interval of values around the mean such that it
i. Includes 95 percent of the observed values
ii. Includes almost all observed values (and thus coincides with the range, min-max).
iii. Includes 50 percent of the observed values.

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Question 1180615: f(x)= 10e^x-ex^e. Find f'(3)
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Question 1180614: f(x) =-3e^x+3 + e^1 find f'(0)
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Question 1180614: f(x) =-3e^x+3 + e^1 find f'(0)
Click here to see answer by ikleyn(52754) About Me 

Question 1180613: F(x) =(lnx)^3 find f'(x)
Click here to see answer by MathLover1(20849) About Me 

Question 1180631: Can you copy and paste the link to the URL and answer the question.
file:///media/fuse/drivefs-d79894dda0ff3e03133c8db3a6d502bb/root/Scatter%20Plots%20-%20Part%206%20Use%20for%20Mastery.pdf

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Question 1180666: An investment opportunity has 15% chance of making $2500, a 34% chance of making $1300, a 11% chance of breaking even. and a 40% chance of loosing $1600. What is the expected value for the investment?
Click here to see answer by greenestamps(13195) About Me 
Question 1180666: An investment opportunity has 15% chance of making $2500, a 34% chance of making $1300, a 11% chance of breaking even. and a 40% chance of loosing $1600. What is the expected value for the investment?
Click here to see answer by ikleyn(52754) About Me 

Question 1180662: Cost to play the game is $3.00
You will roll a single die.
If you roll a 5 or a 6 you will win $4.00 If you roll a 1 you will win $7.00
Round your answer to the nearest cent

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Question 1180662: Cost to play the game is $3.00
You will roll a single die.
If you roll a 5 or a 6 you will win $4.00 If you roll a 1 you will win $7.00
Round your answer to the nearest cent

Click here to see answer by Boreal(15235) 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, 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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