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

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Question 471880: If the probability that an event will happen is expressed as 0.3, which of the following would be the best approximate for the odds in favor of that event happening? I just need to know if I have the correct answer of 3:1. If not, which on of the following choices would be the correct answer: A. .3:10 B. 7:10 C. 3:7. Thank you.
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Question 471879: If the probability that an event will happen is 0.3, what is the probability of the event's complement? I just need to know if I have the correct answere of 0.7 as the complement. If not, what is the correct complement from these remaining choices. A. 0.1 B. 0.3 C. 1.0. Thank you.
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Question 471927: Plz help with process!
Two students are selected at random from a class of 14 males and 6 females. Find the probability that both students are males (to two decimals).

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Question 471930: Here is the question: An entrepreneur owns 6 corporations, eacj with more than $10 million is assets. The entreprenuer consults with the Better Business Bureau and discovers that the IRS audits 15.3% of businessses of that size. What is the probability that 2 or more of these businesses will be audited? Thank you.
Click here to see answer by jorel1380(2518) About Me 

Question 471947: Here is the question: The captain of a Navy gunboat orders a volley of 25 missiles to be fired at random along a five-hundred-foot stretch of shoreline that he hopes to establish as a beachhead. Dug into the beach is a thirty-foot-long bunker serving as the enemy's first line of defense. The captain has reason to believe that the bunker will be destroyed if at least three of the missiles are on-target. What is the probability of that happening?
This is how I would start. successes=missiles hitting bunker, n=25, p= 30/500=.06, 1-p=.94, k=3 through 25. Does that sound right?

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Question 175661: Diana has a box containing 6 blue, 8 red, 5 purple, 9 green, and 2 clear marbles that are all the same size and shape. What is the probability of randomly choosing a clear marble on the first pick; replacing it, and then randomly choosing a purple marble on the second pick?
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Question 471991: How is a sampling distribution of the mean similar and different from a distribution of raw scores?
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Question 472024: How do I calculate
If one ball is selected at random, determine the odds in favor of it containing two digits.
There are 15 billard balls and they are racked up.
If one ball is selected at random, determine the odds in favor of it containing two digits.
Show me how to calculate this problem. I have no Idea.

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Question 472065: A standard placement test has a mean of 115 and a standard deviation of 10. What is the minimum sample size required if we want to construct the 90% confidence interval with the margin of error 2 points?.

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Question 472082: A parallelogram is a ____________ if and only if it has at least one right angle and four congruent sides.
a. rectangle
b. square
c. rhombus
d. none
Please provide detail explanation. Thanks.

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Question 472070: Help!!!
On the last day of class before Christmas break, Professor Morton brought donuts to his class that had been studying probability. "Before you get donuts, you must solve the following problem. I have a box of donuts that are either plain or chocolate covered. There are 12 chocolate-covered donuts, and the probability of randomly selecting a chocolate-covered donut is 0.6. How many donuts are in the box?" Find the number of donuts for the class.

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Question 472098: According to Nielson Media Research, 75% of all U.S households have cable television. In a random sample of 300 households determine the mean and the standard deviation.
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Question 472130: The mean of 8 numbers is 11. If an 9th number is now included in the results, the mean becomes 10. What is the value of the 9th number? Produce an algebraic solution.
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Question 472129: A very annoying clock at your house chimes at the beginning of nth hour, 2n times. ( For example, at 8:00A.M. the clock chimes 16 times and at 2:00P.M. the clock chimes 28 times) The clock also chimes three times at half-past every hour. Determine how many times in total the clock chimes in one full day.
Click here to see answer by josmiceli(9817) About Me 

Question 472133: The length x of the nails in a large shipment received by a carpenter are approximately normal with a mean of 2 inches and a standard deviation of .1 inches.
1) If a nail is randomly selected, find P (1.8 < x< 2.07)
2) The carpenter cannot use a nail shorter than 1.75 inches or longer than 2.25 inches. What percentage of the shipment of nails will the carpenter be able to use?

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Question 472094: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 10. If 500 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
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Question 472127: Boxes are stored in a warehouse. The stack is four boxes wide and 20 boxes long at the bottom. Each layer is one box shorter than the previous layer but the same width. How many boxes are there if the top layer is four boxes long? Write an equation with summation notation to find the total number of boxes. If you solve this question without using summation notation, you may not get full marks.
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Question 472071: ?????
If one check in 10,000 is forged, 3% of all checks are postdated, and 70% of forged checks are postdated, find the probability that a postdated check is forged.(to five decimal places.)

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Question 472059: Each of the seven digits from the number 9,31353 is written on a different card if a card is selected at random from the seven cards, what is the probability of drawing a card that shows a 9,3,or 1? Please provide detail steps. Thanks in advance.
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Question 472041: Question: A battery is defective with probability 0.3. What is the probability that in a pack of 8 batteries:
1) Exactly 2 are defective
2) At most 2 are defective? (hintL at most = less than or equal to)
3) More than 2 are defective?
4) What is the expected number of defective batteries in the 8-pack?
5) What is the standard deviation of the number of defective batteries in the 8-pack?

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Question 472028: Three people are selected at random from five females and nine males. Find the probability of the following. (to three decimal places.)
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Question 472029: For Faculty Appreciation Day, the Faculty Club Lunch Room asked each faculty member to leave a business card in a container. At the end of lunch a card would be drawn, and that faculty member would be given free lunches for a week. Eighty-eight faculty left a card, including 5 mathematics faculty, 11 history faculty, and 2 chemistry faculty. Find the probability of the following. (to three decimal places.)

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Question 472170: the data shows there is a mean flood of a river of +9.0 feet above flood stage with a dispersion of 5.0 feet around the mean flood level. this means if the mean is 9.0 then the range can be from 4.0 above floor stage to 14.0 above flood level. If this is calculated based on 100 years worth of flood measurements, then how would Ifigure out the flood level of a "1000" year flood.
would the flood level still be the same in 1000 years or would it be different?
Can i figure out the "1000" year flood level from this information or do I need more information to calculate.
thanks!

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Question 472185: On a certain day the number of books on 40 shelves in a library were noted and grouped as shown. Find the mean number of books on the shelf and the standard deviation
# of books # of shelves
30 to under 35 4
35 to under 40 6
40 to under 45 10
45 to under 50 13
50 to under 55 5
55 to under 60 2
a) range
b) median
c) 9th percentile
d) Percentile rank of 450 km/h
e) Interquartile range


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Question 472271: express the following angle into radians 50degrees 37minutes 30seconds

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Question 472292: I dont understand how to do these type of problems. --> In how many ways can a teacher arrange 5 students in the front row of a classroom with a total of 23
students?

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Question 472317: A pair of dice is rolled. What is the probability of getting a sum greater than 5? What is the probability of getting a sum less that 8?
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Question 472335: Find the probability of rolling a sum of 7 with two dice

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Question 472337: Find the probabilty of rolling a sum of 8 with two dice
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Question 472312: Can you help me with this problem please? -> How many ways are there to choose a committee of 7 people from a group of 10 people?
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Question 472346: a science class has a ratio of 3 boys to 2 girls.what is the largest class that could be formed with less than 40 students?

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Question 472309: A marble is selected at random from a jar containing 2 red marbles, 6 yellow marbles, and 4 green marbles. What is the probability that the marble is red?
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Question 472393: Help!
A child has nine cards numbered 1 through 9. The child places three cards in a row to form a three-digit number. Find the probability that the number is larger than 700. (to three decimal places.)

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Question 472398: you roll 2 dice what is the probability that the sum of the sum of the dice is greater than 8 andthat 1 die shows a 6?
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Question 472418: What is the probability of randomly selecting a number less than 1000 from a range of 1 to 6719?
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Question 472418: What is the probability of randomly selecting a number less than 1000 from a range of 1 to 6719?
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Question 472387: Help with process!
For a certain model car the probability of the air conditioner failing before the warranty expires is 0.35, the probability of the alternator failing is 0.23, and the probability of both failing is 0.13. Find the probability of the air conditioner or the alternator failing before the warranty expires. (to two decimal places.)

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Question 472389: Help please!
Three people are selected at random from five females and nine males. Find the probability of the following. (to three decimal places.)
a) At least one is a male.
b) At most two are male.

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Question 472441: How many ways can six out of 12 cars be lined up in order, followed by lining up four out of five trucks in order?
choices are 79833600 475200 99792600 4620 I dont get any of these choices

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Question 472487: Among 35 radios, 27 are defective. An experiment consists of randomly choosing 9 radios. (Order is not important.) Find the probability that all 9 chosen radios are defective.
a) 0.2092
b) 0.3164
c) 0.1914
d) 0.2886
e) 0.0664

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Question 472551: You roll 2 dice. What is the probability that the sum of the dice is odd or 1 die shows a 5? A 6 X 6 table of dice outcomes will help you to answer this question
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Question 472555: If the standard deviation of a set of values is 6.7 and the average value is 201.2, which of the following values is not contained within 68% of the bell-shaped curve about the mean?


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Question 472558: If the mean of a normal distribution is 25, and the standard deviation is 1, it is highly unlikely that a value in the data is 24.
t or f

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Question 472558: If the mean of a normal distribution is 25, and the standard deviation is 1, it is highly unlikely that a value in the data is 24.
t or f

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Question 472628: Write the following in summation notation:
1/12 + 1/13+ 1/14+ 1/15+1/16


3/4 + 6/9 + 9/16 +12/25 +15/36 +18/49

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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