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Question 1192240: Average Senior high school annual cost of tuition fee for all private schools last year was 46, 300. A random sample cost this year for 45 private schools indicated that the sample of mean was 47,800 and a sample standard deviation was 5,600. At the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased.
Click here to see answer by Boreal(15235)

Question 1192239: A survey of the National Capital Region finds the average commute time time of employees on one way is 45 minutes. the Makati chamber of Commerce feels that in their city it is greater and want to publicize this. They randomly selected 28 commuters and found the average is 50 minutes with a standard deviation of 6 minutes. At alpha=0.05, are they correct?
Click here to see answer by Boreal(15235)

Question 1192183: The daily demand for copies of a movie magazine at a variety at a variety store has the probability distribution as follows.
Number of Copies X
Probability P(X)
0
0.06
1
0.14
2
0.16
3
0.14
4
0.12
5
0.10
6
0.08
7
0.07
8
0.06
9
0.04
10
0.03

What is the probability that three or more copies will be demanded in a particular day?
Solution:

What is the probability that the demand will be at least two but not more than six?
Solution:
Click here to see answer by Boreal(15235)

Question 1192268: Three judges must vote for the decision. They vote independently of each other and from the previous experience it is known that probabilites of separate right decisions are 0.77, 0.58, 0.79.
a) what is the probability that the overall decision will be right?
b) if the joint decision was correct, what is the probability that the first judge made the decision correctly?
c) that second and third judges made the right decision?
Click here to see answer by math_tutor2020(3816)

Question 1192282: 1. Three fair coins are tossed. Determine the probability of each event
a) No heads
b) Exactly two head
c) Exactly one head (full answer)

Click here to see answer by greenestamps(13195)

Question 1192287: Consider the following estimated regression: Y=output, X=labor-hours of work)
Y ̂_i=3⋅6+0.25x_i ; σ_u^2=(1.83) ̂,n=10
95% CI: (-1.22, 1.05) (0.16, 0.34)

Click here to see answer by ikleyn(52750)

Question 1192283: Determine the mean (μx̅), variance (σ2
x̅), and standard deviation (σx̅).
a. A random sample of size 4 is taken with replacement from a population with
μ = 12 and σ2 = 8
b. A random sample of size 64 taken from a population from a population of 1200 whose μ=
72.12 and σ2= 12
Click here to see answer by Boreal(15235)

Question 1192329: When throwing a coin the chance of it being heads is 0.63. If a person gets heads - they step one step to the right, if tails - one step to the left. What is the probability of being back at the starting point (before making any steps) after 8 throws? What is the probability of being no more than 4 steps away from the starting point after 8 throws?
Click here to see answer by ikleyn(52750)

Question 1192333: A pair of dice is to be rolled. (Give your answers as fractions.)
(a) Find the probability of the sum P(2) of the two dice.
(b) Find the probability of the sum P(3) of the two dice.
(c) Find the probability of the sum P(4) of the two dice.
(d) Find the probability of the sum P(5) of the two dice.
(e) Find the probability of the sum P(6) of the two dice.
(f) Find the probability of the sum P(7) of the two dice.
(g) Find the probability of the sum P(8) of the two dice.
(h) Find the probability of the sum P(9) of the two dice.
Click here to see answer by ikleyn(52750)

Question 1192330: There is a round bed of flowers in a garden and its radius is 3.5 metres. 9 little birds come down to peck around in the flower bed. What is the probability of 2 of these birds scratching about in the radius of 1.0 metres from the centre and 3 birds in the plot that is outside of 2.3 metre radius?
Click here to see answer by ikleyn(52750)

Question 1192327: 56% of lottery tickets are winning ones. Peter takes 10 tickets one after another. What is the probability of 4 tickets being winning ones? What is the probability of the 10th ticket being the 4th winning one?
Click here to see answer by ikleyn(52750)

Question 1192328: Gunman shoots 10 targets two times each with accuracy of 0.63 with each shot. What is the probability of him hitting exactly 4 targets in both shots? What is the probability of him hitting exactly 4 targets only once?
Click here to see answer by ikleyn(52750)

Question 1192337: A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 214 milligrams with s = 11.8 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, µ, of all such eggs.

Click here to see answer by math_tutor2020(3816)

Question 1192369: It is common in many industrial areas to use
a filling machine to fill boxes full of product. This
occurs in the food industry as well as other areas in
which the product is used in the home, for example,
detergent. These machines are not perfect, and indeed
they may A, fill to specification, B, underfill, and C,
overfill. Generally, the practice of underfilling is that
which one hopes to avoid. Let P(B)=0.001 while
P(A)=0.990.
(a) Give P(C).
(b) What is the probability that the machine does not
underfill?
(c) What is the probability that the machine either
overfills or underfills?
Click here to see answer by Theo(13342)

Question 1192370: Peter has two bags each containing 5 black marbles and 4 red marbles. He takes one marble at random from each bag. Calculate the probability that he takes

Click here to see answer by Alan3354(69443)

Question 1192384: The weight in pounds of a random sample of 7 babies were recorded before and after
taking a certain vitamin syrup for a period of one month.
a) Construct a 95% confidence interval of the difference of the mean weights.
b) Is there a significant difference in their weights at 0.05 level?
before 29 22 25 29 26 24 31
after 39 26 25 35 33 36 32
Click here to see answer by math_tutor2020(3816)

Question 1192413: In rolling die, what is the probability of 5 or 6 turning up? Show the solution
Click here to see answer by ikleyn(52750)

Question 1192412: A spinner has 4 equal sectors colored blue, green, red, and yellow. What is the probability of landing on yellow or green after spinning? Show the solutions
Click here to see answer by ikleyn(52750)

Question 1192411: A die is rolled. Find the probability of rolling a 3 or a 4. Show the solutions.
Click here to see answer by ikleyn(52750)

Question 1192410: A box contains 5 red balls, 4 green balls and 3 white balls, if we select a ball random, what is the probability that it is either red or white?
Click here to see answer by ikleyn(52750)

Question 1192416: A die is rolled. Find the probability of rolling a 3 or a 4. Show ghe solution
Click here to see answer by ikleyn(52750)

Question 1192430: Solve the problem carefully and show the solutions.
A die is rolled. Find the probability of rolling a 3 or a 4.
ps. This is not the same question as that one, this is a new question please take a look closely.
Click here to see answer by math_tutor2020(3816)

Question 1192424: The distance between Cape Town and Hermanus is 120km. You are travelling towards
Hermanus (from Cape Town) and you have been dropped off at some point along the
highway between Cape Town and Hermanus. The only information known to you is
that you have passed the half-way mark to Hermanus. What is the probability that you still have more than 30km to travel?

Click here to see answer by ikleyn(52750)

Question 1192442: A coin is loaded so that the probabilities of heads and tails are 0.52 and 0.48, respectively. If the coin is tossed three times, what are the probabilities of getting
(a) all heads
(b) two tails and a head in that order?
Click here to see answer by ikleyn(52750)

Question 1192461: Suppose a number is chosen at random from the set {0,1,2,3,...,574}. What is the probability that the number is a perfect cube?
Click here to see answer by ikleyn(52750)

Question 1192448: What percentage is greater than a value that is 1 standard deviation below the mean? (Give your answer correct to the nearest percent.)
A study was conducted to investigate the relationship between the cost, y (in tens of thousands of dollars), per unit of equipment manufactured and the number of units produced per run, x. The resulting equation for the line of best fit is given below, with x being observed for values between 10 and 200. If a production run was scheduled to produce 50 units, what would you predict the cost per unit to be in dollars?
y hat = 7.7 − 0.06x
$
Click here to see answer by Theo(13342)

Question 1192421: The computer processor was technically inspected after 10 years of operation. The inspection revealed that the motherboards had 40% of the problems on the hard drive, 30% on the motherboard and 15% of the hard drive together. calculate the probability of an event
Click here to see answer by ikleyn(52750)

Question 1192477: The length of bananas is normally distributed with mean 20 cm and S. D of 4cm. Bananas with lengths between 18cm and 23cm are sold at a rate of 3 per dollar and those with lengths less than 18cm at a rate of 3 per dollar and those with lengths more than 23 cm at a rate of 3per 5$. If there is an assignment of 1000 bananas and all are sold how much money is realized?
Click here to see answer by ikleyn(52750)

Question 1192485: (1 point) Suppose that P(A)=0.4, P(C∣A)=0.0055, and P(C′∣A′)=0.0105. Find P(A∣C)
Click here to see answer by math_tutor2020(3816)

Question 1192476: 1. According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
2. ‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the
cities they plan to visit. The number of hits daily is a normally distributed random variable
with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?
Click here to see answer by ikleyn(52750)

Question 1192470: The University Marketing Head has conducted a pre-survey of selected students. Of 4,860 randomly selected students, 2,140 have said they preferred related courses. With 90% confidence, what interpretation can be made regarding the probability that all students want to enroll in business related courses?
Click here to see answer by ikleyn(52750)

Question 1192381: A die is tossed 120 times. What is the probability that at least (5) dots on the top face occurs between 25 and 40 times inclusive?
Click here to see answer by ikleyn(52750)

Question 1192350: The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with mean 0.22 grams per mile (g/mi) and standard deviation 0.059 g/mi. Government regulations call for NOX emissions no higher than 0.28 g/mi.
A) What is the probability (±0.001) that a single-car of this model fails to meet the NOX requirement?

B) A company has 15 cars of this model in its fleet. What is the probability (±0.001) that the average NOX level x of these cars is above the 0.28 g/mi limit?
Click here to see answer by Theo(13342)

Question 1192507: Forty percent of the passengers who fly on a certain route do not check in any luggage.
The planes on this route seat 15 passengers. What is the probability that 9 or more
passengers on a full flight do not check in their luggage?
a. 0.610
b. 0.095
c. 0.944
d. 0.404
e. 0.869
Click here to see answer by Theo(13342)

Question 1192523: The probability that an international flight leaving the us is delayed in departing is .31 the probability that an international flight leaving the us is a transpacific flight is .62 the probability that an international flight leaving the us is a transpacific flight and is delayed in departing is .15
what is the probability that an international flight leaving the us is delayed given the flight is a transpacific flight
Click here to see answer by ikleyn(52750)

Question 1192498: X-U (-1, 3)
Y-E (µ)
V(X)=V(Y)
What is the value of µ ?
Click here to see answer by ikleyn(52750)

Question 1192554: An urn contains eight red marbles and three white marbles. Jadenn picks a marble, then returns it and pick another marble. Find the probability that the first marble picked is a red marble and the second marble is a white marble.
Click here to see answer by Boreal(15235)

Question 1192553: A box contains the letters A, E, U, G, R, T, F and L. Supposed Resty selects a letter from the box and then selects another letter from the box without returning the first letter. What is the probability that Resty will select a vowel on the first draw and a consonant on the second draw?
Click here to see answer by Boreal(15235)

Question 1192545: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the school in the district meet, what is the probability that the group will have at most three boys?
Click here to see answer by Boreal(15235)

Question 1192544: A basket contains red, blue and green balls. One ball is to be chosen at random. The probability that the selected ball is blue is equal to five times the probability that the selected ball is green. If The probability that the chosen ball is green is the same as the probability that the chosen ball is red, find the probability that the chosen ball is blue or red.
Click here to see answer by greenestamps(13195)

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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