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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 382962: find the probablity of the following card hands from 52-card deck.in poker,aces are either high or low.a bridge hand is made up of 13 cards.
in bridge,4 aces
Click here to see answer by edjones(7569)

Question 382972: In a recent survey, 63% of the community favored building a police substation in their neighborhood. If 14 citizens are
chosen, find the probability that exactly 5 of them favor the building of the police substation

Click here to see answer by stanbon(57387)

Question 382989: In a carnival game, a person wagers $2 on the roll of two dice. If the total of the tow dice is 2,3,4,5, or 6 then the person gets $4 (the $2 wager and $2 winnings). If the total of the two dice is 8,9,10,11, or 12 then teh person gets nothing (loses $2). If the total of the two dice is 7, the person gets $0.75 back (loses $0.25). What is the expected value of playing the game once?
Click here to see answer by edjones(7569)

Question 383018: Jamie likes to play 2 sports, basketball and baseball. Jamie will only try out for one of the sports. Use the following information to help answer the question below:
40% chance that Jamie will try out for baseball
70% chance that Jamie will try out for catcher
Jamie will only try out for the guard or forward position on basketball
80% chance that Jamie will try out for guard on the basketball team
Question: P(forward/basketball)
Click here to see answer by edjones(7569)

Question 383022: How many terms does the binomial expansion of (x+y)^15 contain?
Click here to see answer by edjones(7569)

Question 383017: A bag contains 2 green marbles and 4 white marbles, and a second bag contains 3 green marbles and 1 white marble. If Lourdes randomly draws one marble from each bag, then what is the probability that hey are both green?
Click here to see answer by edjones(7569)

Question 383014: On a certain day,the chance of rain in San Diego is 10%, and the chance of rain in Tampa is 90%. What is the probability that it will not rain in both San Diego and Tampa?
Click here to see answer by edjones(7569)

Question 383030: Bag A contains 2 white and 3 red balls and bag B
contains 4 white and 5 red balls. One ball is d.rawn
at random from one of the bags and is found to
be red. Find the probability that it was drawn
from bag A.
Click here to see answer by edjones(7569)

Question 383023: What are the first 4 terms in the expansion of (3+4x)^5?
Click here to see answer by CharlesG2(828)

Question 383054: What is the probability of being dealt all four kings and one ace?
Click here to see answer by stanbon(57387)

Question 383055: A student tossed three coins. What is the probability of getting at least two heads? This is a Probabilty of independant events 1/2 * 1/2 = 1/4 or 25%
Click here to see answer by stanbon(57387)

Question 383013: A math teacher will randomly distribute 15 graphing calculators 10 non-graphing calculators to her students for a project. What is the probability that the first calculator she hands out will be a graphing calculator, and the second calculator she hands out will be a non-graphing calculator?
Click here to see answer by edjones(7569)

Question 383006: A horse race contains 15 horses that have equal ability to win the race. How many possible ways can the horses finish 1st,2nd,3rd. In horse racing terminology, 1st mens "win",2nd means "place", and 3rd means "show"
Click here to see answer by edjones(7569)

Question 383138: A fair die is rolled 1200 times. How many times would you expect to obtain a 1?
Click here to see answer by Fombitz(13828)

Question 382890: A multiple-choice examination consists of 7 questions with possible answers of a, b, c, and d. Find the probability that a student gets at most 2 correct if he randomly guesses at each answer? Round your answer to four decimal places.
Click here to see answer by nyc_function(2733)

Question 383202: I don't see my catagory. It is about permutations. My book is not giving me clear answers. I need to find the number of permutations for: 1,3,5? and another is: 7P3? Thank you.
Click here to see answer by jim_thompson5910(28598)

Question 383151: A box contains two $1 bills and three $5 bills. You pay $3.25 for the privilege of drawing one bill from the box. What is the mathematical expectation of this game?
Click here to see answer by stanbon(57387)

Question 383415: A small manufacturing company with 52 employees has annual salaries distributed such that the arithmetic mean is $25,459, the median is $24,798 and the mode is $24,000. The current range of salaries is $14,382 to $55405. A production manager is hired at an annual salary of $63,200. Which measure of central tendency would be most affected by this new observation of salary?
a. Mode
b. Median
c. Arithmetic mean
d. Geometric mean

Click here to see answer by stanbon(57387)

Question 383413: A certain airplane has two alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
Let P(A) be for the first alternator and P(B) be for the second. Therefore,
P(A) = .02
P(B) = .02
a. What is the probability that both will fail?
b. What is the probability that neither will fail?
c. One or the other will fail?

Click here to see answer by stanbon(57387)

Question 361980: Hello, Can you please help me.
A person spins the pointer and is awarded the amount indicated by the pointer. Circle with left half $2.00 the upper right quarter is $12 and the lower right quarter is $5.00 and it cost $6 to play the game. I can not post the picture.
• The expectation of a person who plays the game.

• The fair price to play the game.

Show your work for full credit.
Thank you,
Confused

Click here to see answer by carolie5(1)

Question 383491: Suppose that IQ scores are normally disributed with means = 100 and standard deviation = 10.
Find the 90th percentile of IQ scores (To nearest whole number)

Click here to see answer by robertb(4012)

Question 383492: A mail order house uses an average of 300 mailbags per day. The number of bags needed each day is normally distributed with standard dev. = 50. How many bags must the company have on hand at the beginning of a day to be 99% certain all orders can be filled?

Click here to see answer by robertb(4012)

Question 383478: Essay; show all work. Last fall, a gardener planted 68 iris bulbs. She found that only 58 of the bulbs bloomed in the spring.

Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms.
How many of the bulbs should she plant next fall if she would like at least 60 to bloom?
Click here to see answer by robertb(4012)

Question 383496: The recovery rate of cattle from a certain disease is 0.22. If 200 cattle are affected what is the probability that at least 51 will recover?
Click here to see answer by robertb(4012)

Question 383487: The scores of students on a standardized test are normally distributed with a mean of 300 and a standard deviation of 40. What is the probability that a randomly chosen student scores below 273.2 on the test?
Click here to see answer by stanbon(57387)

Question 383509: what is the null hypothesis and its alternative hypothesis (to contradict the null hypothesis) for the sample size of 113?
Click here to see answer by Edwin McCravy(8909)

Question 383409: A certain airplane has two alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
Let P(A) be for the first alternator and P(B) be for the second. Therefore,
P(A) = .02
P(B) = .02
a. What is the probability that both will fail?
b. What is the probability that neither will fail?
c. One or the other will fail?
i just need the formula to use i cannot access my book!
Click here to see answer by Fombitz(13828)

Question 383559:
Assume that one circle is selected at random and each circle is equally likely to be selected. Determine the probability of selecting
circle 1 is yellow
circle 2 is green
circles 3, 4, 5 are orange
circle 6 is yellow

10. a number greater than 3, given that the circle is yellow.
This was my answer
P(greater than 3 that is yellow) = 1/6
My teacher said:When a statement includes "given that ..." then the events are limited to only those that satisfy the "given that ..." condition. A Venn diagram can be used to show the events and conditions.
Please help.
Click here to see answer by Fombitz(13828)

Question 383567: three coins are tossed
a). determine the number of points in the sample space
b). construct a tree diagram and list sample space
c). determine the probablitly that
no heads are tossed
exactly one head is tossed
three heads are tossed
Click here to see answer by Fombitz(13828)

Question 383648: Suppose that IQ scores are normally distributed with mean = 100 and Standard Dev. = 10. Find the 90th percentile of IQ scores. (nearest whole number)
What is the x, y, p and q of this problem. The answer is 113, but how..
Click here to see answer by stewbaby(1)

Question 383681: what is 22=8f-10 equal to

Click here to see answer by rfer(12670)

Question 383792: There are 21 tiles. twice as many blue as red, and twice as many red as green. How many of each color are there? This is 3rd grade math.
I say 3 green 6 red and 12 blue.
I just kept playing with numbers till i got this. However I am not sure how you actually work these type of problems. And how do I explain it to a 9 yr old?
Click here to see answer by rfer(12670)

Question 383820: the marketing company has received 14 entries in its latest sweepstakes...they know that the probability of receiving a magazine subscription order with an entry form is 0.5...what is the probability that exactly 3 of the entry forms will include an order?
Click here to see answer by edjones(7569)

Question 383830: drawing a black checker from a bag of 9 black checkers and 6 red checkers, replacing it, and drawing a red checker
Click here to see answer by edjones(7569)

Question 383833: In a recent survey, 66% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 9 of them favor the building of the health center.

Click here to see answer by edjones(7569)

Question 383839: Convert the following x intervals to standardized z intervals.
-2.0 ≤ x ≤ 2.9

Click here to see answer by robertb(4012)

Question 383814: a real estate agent has 13 properties that she shows...she feels that there is a 60% chance of selling any one property during a week...the chance of selling any one property is independent of selling another property...compute the probability of selling exactly 3 properties in one week
Click here to see answer by edjones(7569)

Question 383837: The diameters of steel disks produced in a plant are normally distributed with a mean of 2.5 cm and standard deviation of .02 cm. What is the probability that a disk picked at random has a diameter greater than 2.54 cm.
Click here to see answer by robertb(4012)

Question 383808: a researcher wishes to conduct a study of the color preferences of a new car buyers...suppose that 30% of this population prefers the color brown. if 20 buyers are randomly selected, what is the probability that no one would prefer brown?
Click here to see answer by edjones(7569)

Question 383849: let x be a random variable that represents the length of time it takes a student to write a term paper for Dr. Sugg's Stats class. After interviewing many students, it was found that x has an approximately normal distribution with mean µ = 5.2 hours and standard deviation σ = 3.8 hours
Convert the following x intervals to standardized z intervals.
-2.0 ≤ x ≤ 2.9

Click here to see answer by robertb(4012)

Question 383834: The heights of a group of athletes are modelled by a normal distribution with mean 180 cm and standard deviation 5.2 cm. The weights of this group of athletes are modelled by a normal distribution with mean 85 kg and standard deviation 7.1 kg.
Find the probability that a randomly chosen athlete.
a. is taller than 188 cm.
b. weighs less than 97 kg
c. Assuming that for these athletes height and weight are independent, find the probability that a randomly chosen athlete is taller than 188 cm and weighs more than 97 kg.
d. Comment on the assumption that height and weight are independent.
Click here to see answer by robertb(4012)

Question 383806: Please check my home work. My tree diagram would not paste correctly.
Thank you.

Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.
Pet Shop A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
a) Determine the number of points in the sample space.
b) Construct a tree diagram and list the sample space. Determine the probability that they select
c) the Persian cat.
d) the Persian cat and the calico cat.
e) cats other than the Persian cat.

A.The first selection may be any one of the four cats. After the first cat is selected there are only three cats remaining. So 4*3, or 12, sample points in the sample space.

C. Determine the probability that they select the Persian cat.
P (persian cat selected) = 6/12=1/2

D. Determine the probability that they select the Persian cat and the calico cat. Two outcomes meets the criteria: CP and PC
P (persian and calico cat) = 2/12 = 1/6

E. Determine the probability cats other than the Persian cat. Six outcomes meets the criteria: CS, CH, SC, SH, HC, and HS.
P (cats other than Persian cat) = 6/12 = 1/2

Click here to see answer by edjones(7569)

Question 383965: two dice are rolled find the probability of getting
a. sum of 5,6,7
b.doubles or a sum of 6 or 8
c. a sum greater than 8 or less than 3
Click here to see answer by edjones(7569)

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