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

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Question 1160363: A coffee shop has a contest. When you
�lift the lid,� you might win a prize.
The probability of winning a prize is .
Suppose your teacher buys one coffee
each day. Find the probability of each
event:
a) Your teacher will win a prize on
each of the first 3 days of the contest.
b) Your teacher will win a prize on the
third day of the contest.
c) Your teacher will not win a prize in
the first 4 days of the contest.

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

Question 1160365: A coffee shop has a contest. When you
lift the lid,you might win a prize.
The probability of winning a prize is 1/10
Suppose your teacher buys one coffee
each day. Find the probability of each
event:
a) Your teacher will win a prize on
each of the first 3 days of the contest.
b) Your teacher will win a prize on the
third day of the contest.
c) Your teacher will not win a prize in
the first 4 days of the contest.

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

Question 1160382: In how many ways can 3 students be seated in a classroom with 5 chairs? Ans. 𝑃3 5 .
Click here to see answer by saw(34) About Me 
Question 1160382: In how many ways can 3 students be seated in a classroom with 5 chairs? Ans. 𝑃3 5 .
Click here to see answer by ikleyn(52750) About Me 

Question 1160396: There are four girls and six boys in a class. They are arranged randomly at 10 seats.
i. How many different arrangements are possible? Write five of them. Ans. 10! .
ii. How many arrangements are possible where girls will be occupied first four seats? Write three of them. Ans. 4! × 6! .
iii. How many ways are there where a particular boy will be occupied the 7th seat? Ans. 9!

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

Question 1160368: Evaluate √167 by Newton Raphson method correct up to four decimal places.
Do all the calculations.

Click here to see answer by solver91311(24713) About Me 

Question 1160381: if p(a)=11/20, p(a and b)=77/400, and p(a or b)=283/400, what does p(not b) equal?
Click here to see answer by Boreal(15235) About Me 

Question 1160447: There are four girls and six boys in a class. They are arranged randomly at 10 seats.
i. How many different arrangements are possible? Write five of them. Ans. 10! .
ii. How many arrangements are possible where girls will be occupied first four seats? Write three of them. Ans. 4! × 6! .
iii. How many ways are there where a particular boy will be occupied the 7th seat? Ans. 9!

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

Question 1160457: Express the probability as a number
rounded to two decimal places. I don't get this, it does not make sense.

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1160457: Express the probability as a number
rounded to two decimal places. I don't get this, it does not make sense.

Click here to see answer by ikleyn(52750) About Me 
Question 1160457: Express the probability as a number
rounded to two decimal places. I don't get this, it does not make sense.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 1160452: You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
__%
The question is provided in the link here: https://i.imgur.com/WBjTzSQ.png

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1160452: You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
__%
The question is provided in the link here: https://i.imgur.com/WBjTzSQ.png

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

Question 1160465: You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.

The question is provided in the link: https://i.imgur.com/F1PHJzI.png

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

Question 1160474: You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.

The question is provided in the link here: https://i.imgur.com/YsNuGSN.png

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1160455: You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.

The question is provided in the link here: https://i.imgur.com/F1PHJzI.png

Click here to see answer by Alan3354(69443) About Me 

Question 1160471: A history class is comprised of 8 female and 5 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places.
Click here to see answer by ikleyn(52750) About Me 

Question 1160488: The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 3. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 51 and 57?

Click here to see answer by Boreal(15235) About Me 

Question 1160440: In a city, daily sale of petrol at a petrol pump follows normal distribution and its mean and
standard deviation are 33,000 litre and 3000 litre respectively.
(i) Obtain the % of days of a month during which the daily sales of petrol is less than 30,000
litre.
(ii) During the month of May, how many days are expected so that the sale of petrol is between
32,000 litre to 35,000 litre?

Click here to see answer by Boreal(15235) About Me 

Question 1160486: Sixty students were given a history exam. Their scores are shown below, sorted from smallest to largest.
21 31 34 34 35
36 37 38 39 40
41 41 41 44 45
45 53 65 72 72
72 72 73 75 75
75 76 76 76 76
76 77 77 78 78
79 79 80 80 80
81 81 82 82 82
83 83 83 83 83
83 83 84 85 86
86 88 88 93 94

1) Compute the 5-number summary for this data:

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

Question 1160491: I know the upper limit is 10,000 but what is the lower limit?
The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm.
What would be the most reasonable LOWER LIMIT for the number of M&M`s in the jar of the choices below?
A.10
B.100
C.1,000
D.10,000
The image for the question and the question itself are provided in the link here: https://i.imgur.com/74v3Ika.png

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

Question 1160511: I am stumped
suppose that E and F are two equal events anf that P(e) =.5 and PE/F)=.7 what is P(e and F)

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

Question 1160535: The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns more than $38,000 a year
Click here to see answer by Boreal(15235) About Me 

Question 1160565: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl?
a. 1/2
b. 1/3
c. 1/8
d. 1/9

Click here to see answer by MathLover1(20849) About Me 
Question 1160565: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl?
a. 1/2
b. 1/3
c. 1/8
d. 1/9

Click here to see answer by MathTherapy(10549) About Me 
Question 1160565: In a family of 3 children, what is the probability that all 3 will be boys if it is equally likely that a newborn child will be a boy or a girl?
a. 1/2
b. 1/3
c. 1/8
d. 1/9

Click here to see answer by saw(34) About Me 

Question 1160566: A baseball player, on the average, has 3 hits out of every 4 attempts to hit the ball. What is the probability that she will go hitless on the next three times at bat?
a. 1/64
b. 1/4
c. 27/64
d. 3/4

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

Question 1160567: Lani had a box that contained: 1 blue marble, 1 green marble, 1 purple marble, 1 yellow marble, and 2 red marbles.
Lani removed one marble without looking, and she recorded the result. She placed the marble back in the box and repeated the procedure one more time. What is the probability that Lani removed a red marble followed by a blue marble?
a. 1/36
b. 1/18
c. 1/3
d. 1/2

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

Question 1160564: Lita flipped a coin 5 times. On each flip the coin landed on tails. Which of these shows how to calculate the probability of this outcome?
a. 5 x 1/2
b. 1/2 x 1/5
c. 1/2 x 1/2 x 1/2 x 1/2 x 1/2
d. 1/2 + 1/2 + 1/2 + 1/2 + 1/2

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

Question 1160571: There are 5 computers in a store. Among them, 3 are brand new, and 2 are
refurbished. How many ways are there to choose 3 computers that include 1
refurbished computer!

Click here to see answer by saw(34) About Me 
Question 1160571: There are 5 computers in a store. Among them, 3 are brand new, and 2 are
refurbished. How many ways are there to choose 3 computers that include 1
refurbished computer!

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

Question 1160578: Find the joint probability of A and B if
P(B)=0.60 and P(AIB)=0.70
[Here P(AIB) means probability of A given B,give your answer to nearest 2 dp.]

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

Question 1160579: In a class of 35 students, 11 are seniors, 8 are juniors, 9 are sophomores, and 7 are freshmen. If two students are selected at random from this class of 35 students, find the probability that the first student selected is a junior and the second is a sophomore.[Give your answer to nearest 5 dp]
Click here to see answer by Theo(13342) About Me 

Question 1160577: In a particular corporation, 56% of the employees are white, 95% are male, and 53% are white males. For a randomly selected employee,find the probability that the selected employee is female.[Give your answer to nearest 2 dp]
Click here to see answer by Theo(13342) About Me 

Question 1160575: A,B,C are three horses in a race. The probability of A to win the race is twice that of B, and the probability of B is twice that of C. What is the probability of A to loose the race? Give your answer to nearest 4 dp.
Click here to see answer by Theo(13342) About Me 

Question 1160576: A fair coin is tossed repeatedly until a head is obtained. The probability that the coin has to be tossed at least four times is...........................................?
[Give your answer to nearest 3 decimal places.]

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1160576: A fair coin is tossed repeatedly until a head is obtained. The probability that the coin has to be tossed at least four times is...........................................?
[Give your answer to nearest 3 decimal places.]

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

Question 1160598: The numbers 1 through 9 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are drawn at random.
What is the probability that the drawn slips are "1", "2", "3", and "4", in that order?

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

Question 1160596: A package contains 10 resistors, 2 of which are defective. If 3 are selected, find the probability of getting 1 defective resistor.
Click here to see answer by Boreal(15235) About Me 
Question 1160596: A package contains 10 resistors, 2 of which are defective. If 3 are selected, find the probability of getting 1 defective resistor.
Click here to see answer by Alan3354(69443) About Me 

Question 1160597: A football team consists of 20 freshmen and 20 sophomores, 12 juniors, and 5 seniors. Four players are selected at random to serve as captains. Find the probability that there are 2 sophomores and 2 freshmen.
Click here to see answer by Boreal(15235) About Me 

Question 1160358: Assume that adults have IQ scores that are normally distributed with a mean of 95.5 and a standard deviation 23. Find the first quartile Upper Q 1​, which is the IQ score separating the bottom​ 25% from the top​ 75%.
Click here to see answer by Boreal(15235) About Me 

Question 1160641: At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table.
Educational level
Not high school Graduate
6 students smoke
18 do not smoke
High school graduate
14 smoke
7 do not smoke
College Graduate
19 smoke
25 do not smoke


If an employee is selected at random, find these probabilities.
a. The employee smokes, given that he or she graduated from college.
b. Given that the employee did not graduate from high school, he or she is a smoker

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

Question 1160651: In 2006, 86% of U.S. households had cable TV. Choose 3 households at random. Find the probability that,
a. None of the 3 households had cable TV.
b. All 3 households had cable TV.
c. At least 1 of the 3 households had cable TV.

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

Question 1160637: There are 12 students who wish to enroll in a particular course. There are only 4 seats left in the classroom. How many different ways can 4 students be selected to attend the class?
Click here to see answer by ikleyn(52750) 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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