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

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Question 1196815: Which score has a higher relative position,
a score of 40 on a test for which top enclose x = 31 and s = 10,
or a score of 327.3 on a test for which top enclose x = 294 and s = 37?

A score of 327.3

A score of 40

Both scores have the same relative position

Click here to see answer by Theo(13342) About Me 
Question 1196815: Which score has a higher relative position,
a score of 40 on a test for which top enclose x = 31 and s = 10,
or a score of 327.3 on a test for which top enclose x = 294 and s = 37?

A score of 327.3

A score of 40

Both scores have the same relative position

Click here to see answer by ewatrrr(24785) About Me 

Question 1196814: Which score have the highest relative position:
a score of 47.4 on a test for which top enclose x = 42 and s = 9,
a score of 5.6 on a test for which top enclose x = 3.9 and s = 1.2?

A score of 47.4

A score of 5.6

Both scores have the same relative position

Click here to see answer by ewatrrr(24785) About Me 

Question 1196891: Assume that one adult with smart phones are renewly selected 41% use them in meetings or class. If 6 adult smartphone users are randomly selected find the probability that at least 4 of them use their smart phone in meetings or classes.
Click here to see answer by greenestamps(13195) About Me 
Question 1196891: Assume that one adult with smart phones are renewly selected 41% use them in meetings or class. If 6 adult smartphone users are randomly selected find the probability that at least 4 of them use their smart phone in meetings or classes.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1196897: Bailey the dog owns 8 balls. 4 are colored red, 3 are colored yellow, and 1 is blue. If she fetches 3 balls from her collection, how many different color combinations are possible?
Click here to see answer by ikleyn(52750) About Me 
Question 1196897: Bailey the dog owns 8 balls. 4 are colored red, 3 are colored yellow, and 1 is blue. If she fetches 3 balls from her collection, how many different color combinations are possible?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1196897: Bailey the dog owns 8 balls. 4 are colored red, 3 are colored yellow, and 1 is blue. If she fetches 3 balls from her collection, how many different color combinations are possible?
Click here to see answer by greenestamps(13195) About Me 

Question 1196900: A bag contains
3

w
h
i
t
e
marbles,
5

r
e
d
marbles, and
6

b
l
a
c
k
marbles. If a marble is drawn from the bag, set aside, and another marble is drawn, what is the probability of drawing first a
w
h
i
t
e
marble and then a
b
l
a
c
k
marble?

Click here to see answer by ikleyn(52750) About Me 

Question 1196899: Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.25, and the standard deviation for y is 4.52. The regression equation is reported as
y=−3.5+1.77x

What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 0 and 1.)

Click here to see answer by math_tutor2020(3816) About Me 

Question 1196925: An urn contains 8 white and 5 green balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are white
Click here to see answer by ikleyn(52750) About Me 

Question 1196930: The population of weights of a particular fruit is normally distributed, with a mean of 328 grams and a standard deviation of 28 grams. If 8 fruits are picked at random, then 12% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram.

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

Question 1196954: Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 28 psi (pounds per square inch.)

(a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.)
when tire pressure is below________psi


Click here to see answer by ikleyn(52750) About Me 

Question 1196981: In a school all the students listen to some kind of music. Of those, 60% listen to rock music, 20% listen to dance
music, and 10% listen to both types of music. Determine the probability that a student listens to music other than rock
or dance music given that they listen to music.

Click here to see answer by ikleyn(52750) About Me 

Question 1196997: a contract company has bid on two contracts. the probability of winning contract A is 0.71. the company wins contracts A , the probability of winning contract B is 0.62. if the contract loses contract A, the probability decreases to 0.33. what is the probability of not winning any contract

Click here to see answer by math_tutor2020(3816) About Me 
Question 1196997: a contract company has bid on two contracts. the probability of winning contract A is 0.71. the company wins contracts A , the probability of winning contract B is 0.62. if the contract loses contract A, the probability decreases to 0.33. what is the probability of not winning any contract

Click here to see answer by ikleyn(52750) About Me 

Question 1196953: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 405 grams and a standard deviation of 21 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.)
Middle 60 percent_____to_____
Highest 80 percent
Lowest 15 percent

Click here to see answer by Theo(13342) About Me 
Question 1196953: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 405 grams and a standard deviation of 21 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.)
Middle 60 percent_____to_____
Highest 80 percent
Lowest 15 percent

Click here to see answer by ewatrrr(24785) About Me 

Question 1197020: Suppose that A and B are two events for which P(A)=0.34, P(B)=0.68, and P(A and B)=0.34. Find P(A/B)
Click here to see answer by ikleyn(52750) About Me 

Question 1197021: Statistics from the Port Authority of New York and New Jersey show that 81% of the vehicles using the Lincoln Tunnel that connects New York City and New Jersey use E-ZPass to pay the toll rather than stopping at a toll booth. Twelve cars are randomly selected.
Click here for the Excel Data File
a. How many of the 12 vehicles would you expect to use E-ZPass? (Round your answer to 4 decimal places.)


b. What is the mode of the distribution? What is the probability associated with the mode? (Round your answer to 4 decimal places.)


Click here to see answer by math_tutor2020(3816) About Me 

Question 1196957: u (100,190) standard deviation answers to 4 decimal places.)
u (4,92) standard deviation answers to 4 decimal places.)

Click here to see answer by MathLover1(20849) About Me 

Question 1197042: Joe is playing a game on his smartphone. He will choose an image to see if he gets bonus points. The probability of getting bonus points is (8)/(19). Find the odds in favor of getting bonus points.
Click here to see answer by ikleyn(52750) About Me 

Question 1197052: Last year's freshman class at Big State University totaled 5,327 students. Of those, 1,265 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount received was N($3,468, $489). If the cost of full tuition was $4,100 last year, what percentage of students who received a merit scholarship did not received enough to cover full tuition? (Round your answer to the nearest whole percent.)
Click here to see answer by math_tutor2020(3816) About Me 

Question 1197061: There are 1859 balls inside an urn from 1 to 1859. A ball is selected at random. Given that the selected ball has a number that is not relatively prime to 1859, what is the probability that it is divisible by 13 only?
Click here to see answer by ikleyn(52750) About Me 

Question 1197060: There are 1859 balls inside an urn from 1 to 1859. A ball is selected randomly. What is the probability that the selected ball has a number that is relatively prime to 1859?

Click here to see answer by ikleyn(52750) About Me 
Question 1197060: There are 1859 balls inside an urn from 1 to 1859. A ball is selected randomly. What is the probability that the selected ball has a number that is relatively prime to 1859?

Click here to see answer by math_tutor2020(3816) About Me 

Question 1197054: Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi (pounds per square inch.)
a)At what psi will the TPMS trigger a warnig for this car? (Round your answer to 2 decimal points.)
b)Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.)
c)The manufacturer's recommended correct inflation range is 30 psi to 34 psi. Assume the tire's average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recomended range? (Round your intermediate calculations and final answer to 4 decimal places.)

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

Question 1197053: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 315 grams and a standard deviation of 16 grams. Find the weight that corresponds to each event. (Round your final answer to 2 decimal places.)
a)Highest 20 percent_____
b)Middle 60 percent____ to ____
c)Highest 80 percent____
d)Lowest 15 percent____

Click here to see answer by ewatrrr(24785) About Me 

Question 1197070: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 315 grams and a standard deviation of 16 grams. Find the weight that corresponds to each event. (Round your final answer to 2 decimal places.)
a)Highest 20 percent_____
b)Middle 60 percent____ to ____
c)Highest 80 percent____
d)Lowest 15 percent____

Click here to see answer by ewatrrr(24785) About Me 

Question 1197059: the average number of field mice per acre in a 5 acre wheat field is estimated to 10 . fine the probability that a given acre contain more than 15 mice
Click here to see answer by ewatrrr(24785) About Me 

Question 1197079: Here is the statistics for the high temperatures in the city during October:
*Mean of 65.3°F
*Median of 63.5°F
*Standard deviation of 9.3°F
* IQR are of a 7.1°F
Recall that the temperature C measured in degrees Celsius is related to the temperature F measured in degrees Fahrenheit by C = 5/9 ( F -32)
A. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.
B. Describe how the value of each statistic further changes when the new values are multiplied by 5/9.
C. describe how to find the value of each statistic when the temperature is measured in degrees Celsius.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1197083: 2. First-semester GPA’s for a random selection of freshmen at a large university are shown below. Estimate the true mean GPA of the frshman class with 99% confidence. Assume standard deviation = 0.62.
1.9 3.2 2.0 2.9 2.7 3.3
2.8 3.0 3.8 2.7 2.0 1.9
2.5 2.7 2.8 3.2 3.0 3.8
3.1 2.7 3.5 3.8 3.9 2.7
2.0 2.8 1.9 4.0 2.2 2.8
2.1 2.4 3.0 3.4 2.9 2.1

Click here to see answer by math_tutor2020(3816) About Me 

Question 1197074: A population of values has a normal distribution with μ=13.7 and σ=81.6.If a random sample of size n=20 is selected
Find the probability that a single randomly selected value is less than -8.2. Round your answer to four decimals
P(X < -8.2)=
Find the probability that a sample of size .n=20 is randomly selected with a mean less than -8.2. Round your answer to four decimals.
P(M < -8.2) =

Click here to see answer by Theo(13342) About Me 
Question 1197074: A population of values has a normal distribution with μ=13.7 and σ=81.6.If a random sample of size n=20 is selected
Find the probability that a single randomly selected value is less than -8.2. Round your answer to four decimals
P(X < -8.2)=
Find the probability that a sample of size .n=20 is randomly selected with a mean less than -8.2. Round your answer to four decimals.
P(M < -8.2) =

Click here to see answer by math_tutor2020(3816) About Me 

Question 1197094: Deck A has 30 red cards and 22 black cards. Deck B has 26 red cards and 26 black cards. A card is drawn at random from Deck A and transferred to Deck B. Now, a card is drawn at random from Deck B.
Find the probability that the transferred card from Deck A is red and the drawn card from deck b is also red after card transfer.

Click here to see answer by ewatrrr(24785) About Me 

Question 1197093: Deck A has 30 red cards and 22 black cards. Deck B has 26 red cards and 26 black cards. A card is drawn at random from Deck A and transferred to Deck B. Now, a card is drawn at random from Deck B.
Find the probability that the transferred card from Deck A is black and the drawn card from deck b is red after card transfer.

Click here to see answer by ewatrrr(24785) About Me 

Question 1197092: There are 1859 balls inside an urn that are numbered individually from 1 to 1859. A ball is selected
at random from the urn.
(a) What is the probability that the selected ball has a number that is relatively prime to 1859? (Two numbers a and b are relatively prime if their only common divisor is 1.)
(b) Given that the selected ball has a number that is not relatively prime to 1859, what is the probability that it is divisible by 13 only?

Click here to see answer by ikleyn(52750) About Me 

Question 1197101: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are queens.
Click here to see answer by ewatrrr(24785) About Me 
Question 1197101: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are queens.
Click here to see answer by ikleyn(52750) About Me 

Question 1197089: The owner of retailing organization is interested in relationship between price at which a commodity is offered for sale and quantity sold. The following sample data have been collected.
Price: 25,45,30,50,35,40,65,75,70,60
Quantity sold: 118,105,112,100,111,108,95,88,91,96
Part (a): plot scatter diagram for the above data.
Part (b): Fit straight line equation and plot the estimated line also.
Part (c): Find sy.x
Part (d): Estimate the quantity sold when price is 80.

Click here to see answer by ewatrrr(24785) About Me 

Question 1197106: If A and B are mutually exclusive events with P(A) = 0.75, then P(B)
Click here to see answer by MathLover1(20849) About Me 
Question 1197106: If A and B are mutually exclusive events with P(A) = 0.75, then P(B)
Click here to see answer by ikleyn(52750) About Me 

Question 1197057: Hello! Please help me with this question:
There are 10 students with different designs of gloves. A professor asked them to put all their gloves in a box and he randomly selected 6 pieces of gloves. What is the probability that there is exactly one matching pair of gloves?
My initial solution to this problem is 6/60 = 1/10. But I'm not entirely sure about this. Can anyone help me? Thank you!

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

Question 1197108: Robert bought a $2 lottery ticket such that 1 in 100 would win $9, 1 in 1000 would win $80, and 1 in 50 million would win 1 million. What is the expected value of a lottery ticket in dollars?

Does Robert expect to earn a profit if he buys 100 tickets?

Select an answer

By how much?

Click here to see answer by math_tutor2020(3816) About Me 

Question 1197105: A popular casino game is three-card poker. One aspect of the game is the "pair plus" bet in which a player is paid a dollar amount for any hand of a pair or better. The table shows the profit and probability for all of the winning hands for a player paying $5 to play this game:
Outcome Profit ($) Probability
Straight Flush 200 0.00217
Three of a kind 150 0.00235
Straight 30 0.03258
Flush 20 0.04959
Pair 5 0.16941
For any hand other than those listed in the table, the player loses the $5 bet.
Calculate the expected profit for a $5 bet in this game (answer to the nearest penny).

Click here to see answer by math_tutor2020(3816) 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, 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