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

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Question 1170989: Solve for n:

Click here to see answer by Edwin McCravy(20054)

Question 1171014: An anchor is able to hit the bulls eye 80% of the time. Assume each shot is independent of the others.
What is the probability that she misses the bullseye at least once in six shots?
Click here to see answer by math_helper(2461)

Question 1171052: A standardized test was administered
3. The average daily expenditure
4. A random sample of 30 cheese bars
5. The performance of 50 Psychology
6. The average lifespan of a Mahangin
7. A random sample of 20 cans of milk
8. It has been known in the past
9. The average performance of an expert typist
10. The average grade of 50 sophomore
Click here to see answer by ikleyn(52777)

Question 1171072: The table below provides with the weekly returns for Bitcoin and Ethereum for 20 consecutive weeks.DateBitcoinEthereum
06/07/2020 2.2% 6.4%
13/07/2020 -1.0% -1.5%
20/07/2020 7.8% 29.8%
27/07/2020 11.6% 19.7%
03/08/2020 5.6% 5.5%
10/08/2020 1.9% 10.9%
17/08/2020 -1.9% -9.8%
24/08/2020 0.4% 9.5%
31/08/2020 -12.2% -17.5%
07/09/2020 0.4% 3.5%
14/09/2020 6.0% 1.5%
21/09/2020 -1.5% -3.7%
28/09/2020 -0.8% -1.2%
05/10/2020 6.5% 6.2%
12/10/2020 0.9% 0.8%
19/10/2020 13.5% 7.4%
26/10/2020 5.4% -2.4%
02/11/2020 12.7% 14.4%
09/11/2020 1.4% 2.1%
12/11/2020 3.4% 0.0%

a. Calculate the standard deviation of Bitcoin and Ethereum’s returns.
b. Calculate the covariance between the returns on these two cryptocurrencies.
c. Calculate the correlation between returnes.
d. What kind of linear correlation exists between the variables
Click here to see answer by ikleyn(52777)

Question 1171055: The Hiking Club plans to go camping in a
State park where the probability of rain on
any given day is 0.7. Which expression can
be used to find the probability that it will rain
on exactly three of the seven days they are
there?
Click here to see answer by htmentor(1343)

Question 1171090: According to the records of an electric company serving the Boston area, the mean electric consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electric consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. What percentage of the households in this area have a monthly electric consumption of 1858to1948 kilowatt-hours?
Round your answer to two decimal places.

Click here to see answer by Boreal(15235)

Question 1171068: A shipment of assembly parts from a vendor offering inexpensive parts is used in a manufacturing plant. The box of 12 parts contains 5 that are defective and will not fit during assembly. A worker picks parts one at a time and attempts to install them. Find the probability of each outcome.
(a) The first two chosen are both good.
(b) At least one of the first three is good.
(c) The first four picked are all good.
(d) The worker has to pick five parts to find one that is good
Click here to see answer by Boreal(15235)

Question 1171094: Let the random variable X denote the number of Sunday papers sold by a paperboy in a city. Assume that X is b(500,1/5). If 50 such paperboys are randomly selected approximate the probability that the sample mean is less than 99.
I found a formula for using the central limit theorem on binomial distributions.
it is find the value in a normal distribution table of (b-np)/(sqrt(npq).

I know b is 99, p = 1/5, and q = 1/5. I think n is 500 but I am not sure. If n = 500 I get the z-score value as -0.11 and using the table I get the
P(x < 99) = 0.4562
I am not sure if I did this right or need to change my n value.
Click here to see answer by Boreal(15235)

Question 1171006: What is the probability of:
A. drawing a card that is an ace/a ten/or a red
B. drawing a Jack/face card
C. rolling 4 dice and having at least one of them show a 5

Click here to see answer by 125004450Sk(1)

Question 1171135: The question is: Compute the probability of rolling a 1 on a standard six-sided die, given that the previous three rolls were all 1s.

Click here to see answer by math_helper(2461)

Question 1171091: A certain disease has an incidence rate of 0.6%. If the false negative rate is 4% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.

Click here to see answer by math_helper(2461)

Question 1171145: Assume you are the owner of a highly-respected law firm. The data below shows the number of cases won each month by two lawyers who work for you.
Lawyer A 42 61 48 54 50 49
Lawyer B 51 23 82 44 79 25
On average, would you say that these lawyers are performing equally? Why or why not? If you are looking for a lawyer with a reliable number of wins, which lawyer would you choose?
What statistic did you use to come to that conclusion? Back up your decision with statistical evidence. Do NOT just use the mean or median to explain your answer.
Click here to see answer by Boreal(15235)

Question 1171139: If a baseball player has a batting average of 0.265, what is the probability that the player will get the following number of hits in the next four times at bat?
A- exactly 2 hits=
B- at least 2 hits=
Click here to see answer by Boreal(15235)

Question 1171108: According to a survey only 20% of customers who visited tje website of a major retail store made a purchase. random sample sizes of 75 are selected.
What proportion of the sample will have between 10% and 40% of customers who will make a purchase after visiting the website
Click here to see answer by Boreal(15235)

Question 1171157: Consider the following sequence: − 15 , − 105 , − 735 , − 5145 , − 36015,...
Write an explicit formula for the sequence.
(use the form an = b ( r )^n − 1 )
an=
The n is supposed to be underneath the a!
Click here to see answer by ikleyn(52777)

Question 1171160: Consider the sequence 8.5 , 14.45 , 24.565 , ...
Note that 8.5 ; is t ( 1 ) , not t ( 0 ) .
a) Is this sequence arithmetic or geometric?
b) Write down an equation that models this sequence. Begin your equation with t ( n ) =
Click here to see answer by ikleyn(52777)

Question 1171159: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 10 .
an = (Your answer must be a function of n .)
*n is underneath a!*
Click here to see answer by ikleyn(52777)

Question 1171158: Consider the sequence 224 , 112 , 56 , 28 , 14 , ...
Note that 224 ; is t ( 1 ) , not t ( 0 ) .
a) Find the next three terms , , ,
b) Is this sequence arithmetic or geometric?
c) Write down an equation that models this sequence. Begin your equation with t ( n ) =
Click here to see answer by ikleyn(52777)

Question 1171181: Suppose that 20% of the college seniors support an increase in federal funding for care of
the elderly. If 20 college seniors are randomly
selected, what is the probability that at most 3
of them support the increased funding?
Click here to see answer by ikleyn(52777)

Question 1171199: A hat contains 40 marbles. Of them, 18 are red and 22 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is
a. red b. green?

Click here to see answer by Boreal(15235)

Question 1171197: A market survey is conducted by a government regulator to determine the proportion of homeowners who would switch to a new internet service provider if they had the opportunity to do so. Of the 1 200 homeowners surveyed, 800 said that they would switch.
Construct a 99% confidence interval for the population proportion of homeowners who would switch if given the opportunity.

Click here to see answer by Boreal(15235)

Question 1171202: A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at
random and its number noted and the slip is not replaced. A second slip of paper
is selected at random.
What is the probability that the numbers selected sum to 6?

Click here to see answer by Boreal(15235)

Question 1171207: A survey of all the households in Smalltown Indiana was conducted. Below is
the result of the survey.
# Children =. 0 1 2 3 4 or more
# Households =. 20 40 50 25 5
One of these households is selected at random.
What is the probability that the household has at most 1 child?
Click here to see answer by Boreal(15235)

Question 1171203: A coin is tossed three times. What is the probability that Aheads@ came up at
least two times?
Click here to see answer by Boreal(15235)

Question 1171205: A survey of all the households in Smalltown Indiana was conducted. Below is
the result of the survey.
# Children = 0 1 2 3 4 or more
# Households = 20 40 50 25 5
One of these households is selected at random.
What is the probability that the household has exactly 1 child?
Click here to see answer by ikleyn(52777)

Question 1171201: A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at
random and its number noted and the slip is not replaced. A second slip of paper
is selected at random.
What is the probability that an odd number was selected both times?

Click here to see answer by ikleyn(52777)

Question 1171215: It has been claimed that at UCLA at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. Find the test value at
α = .01?
Click here to see answer by Boreal(15235)

Question 1171208: The student government is selling raffle tickets to raise money for a school activity. A raffle ticket costs $1. There is 1 winning ticket out of the 2000 tickets sold. The winner gets a prize worth $75. Round your answers to the nearest cent.
What is the probability you win if you purchase one raffle ticket?

What is the expected value (to you) of one raffle ticket?
Click here to see answer by Boreal(15235)

Question 1171191: Suppose the mean amount of life insurance purchased by Canadian households is normally distributed with mean of $110,000 and standard deviation of $40,000.
a)What is the probability that a randomly selected Canadian household purchases at least $112,000 of life insurance?
b)If a sample of 50 Canadian households was selected at random, what is the probability that the mean amount of life insurance purchased is at least $112,000?

Click here to see answer by Boreal(15235)

Question 1171152: Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.

(a) What is the probability of producing at least 232,000 barrels? (Round your answer to 4 decimal places.)

Probability

(b) What is the probability of producing between 232,000 and 239,000 barrels? (Round your answer to 4 decimal places.)

Probability

(c) What is the probability of producing less than 239,000 barrels? (Round your answer to 4 decimal places.)

Probability

(d) What is the probability of producing less than 245,000 barrels? (Round your answer to 4 decimal places.)

Probability

(e) What is the probability of producing more than 225,000 barrels? (Round your answer to 4 decimal places.)

Probability

Click here to see answer by Boreal(15235)

Question 1170931: 1.Natalie has 8 socks in a drawer. 5 of the socks are black. 3 of the socks are white. Natalie takes out a sock at random, writes down its color, and puts it back into the drawer. Then Natalie takes out a second sock, at random, and writes down its color. A)What is the probability that both socks are black? B)What is the probability that the first sock is black and the second sock is white? C)What is the probability that both socks are white. D )What is the probability that the first sock is white and the second sock is black? E)What is the probability that the socks are the same color?

Click here to see answer by Boreal(15235)

Question 1171227: A bag has 4 red, 2 green, and 5 orange balls. If a ball is randomly selected from the bag, what is the theoretical probability that it is the color specified in parts (a) through (d).
a) green
b) not green
c) orange
d) not orange
I believe the probabilities to be 4/11, 2/11, and 5/11, but I'm not sure if that's right and I'm not sure if that's how to solve the question if it's theoretical probability. Thank you.
Click here to see answer by Solver92311(821)

Question 1171233: Studies show that gasoline use for cars is normally distributed, with a mean of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. What percentage of compacts get
A. less than 24 mpg?
B. 30 mpg or more?
C. between 20 and 28?

Click here to see answer by Solver92311(821)

Question 1171236: A random number generator is used to select an integer from 1 to 100 (inclusively). What is the probability of selecting the integer 74 ?
Click here to see answer by Solver92311(821)

Question 1171231: Given a normally distributed variable X with mean 18 and standard deviation 2.5, what is the value of k that will satisfy the condition P(X < k) = 0.2236?
A. 13.25
B. 16.10
C. 19.90
D. 22.75

Click here to see answer by Solver92311(821)

Question 1171241: A school committee consists of four people. The committee can be formed from 20 teachers and 5 administrators. Find the following probabilities. 1. The committee is all administrators. 2. The committee is two teachers and two administrators. 3. The committee is all teachers. 4. The committee is one administrator and three teachers.
Click here to see answer by Solver92311(821)

Question 1171245: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
Fifty-three
percent of adults say that they have cheated on a test or exam before. You randomly select
seven
adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is (a) exactly
four,
(b) more than
two,
and (c) at most
five.

Click here to see answer by Solver92311(821)

Question 1171251: There are 5 cars for sale with mean price of 7,000 What is the total price of all 5 cars?
Click here to see answer by ikleyn(52777)

Question 1171280: Suppose the warranty period on your family's new computer is about to expire and you are debating about whether to buy a one-year maintenance contract for $130. If you buy the contract, all repairs for one year are free. Consumer information shows that 23% of the computers like yours require an annual repaid that costs $320 on the average. What is the expected value of buying the maintenance contract?
Click here to see answer by ikleyn(52777)

Question 1171284: Based on past experience, a building contractor sets the probability of winning a contract at 0.24. The contract is worth $121,000 and the cost to produce the contract proposal is $10,000. What is the expected value of the contract proposal?
Click here to see answer by ikleyn(52777)

Question 1171300: A Telecommunications company has eight satellites, Four of which are sending a weak signal. If two are picked at random without replacement, find the probability that both are sending a weak signal, Express your answer as a fraction in lowest terms. P( Both are sending a weak signal) =
Click here to see answer by Edwin McCravy(20054)

Question 1171232: An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1100 hours?
Click here to see answer by Theo(13342)

Question 1171317: Your elderly neighbor places a bag of rice on your doorstep each morning. The first day, the bag contained 1 grain of rice, the second day it contained 2 grains of rice, 4 grains of rice the third day, and so on. Each grain of rice weighs 0.05 grams. How many grains of rice will be in the bag on the 27th day?
Click here to see answer by ikleyn(52777)

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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