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

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

Question 572439: When a card is selected from a deck, find the probability of getting:
a) A club
b) A face card or a heart
c) A 6 and a spade
d) A red card
Click here to see answer by Edwin McCravy(8909)

Question 572445: You have 2 jars, 10 red marbles, 40 blue marbles. you need to place all the marbles into the jars such that when you blindly pick one marble out of one jar, you maximize the chances that it will be red. (when picking, you'll first randomly pick a jar, and then randomly pick a marble out of that jar) you can arrange the marbles however you like, but each marble must be in a jar.
Q1) What is the best to maximize the chances to pick a red marble?
Q2) What is the probability of picking a red marble in your answer?
Click here to see answer by Theo(3464)

Question 572735: A bag contains 2 white marbles, 4 blue marbles, and 6 red marbles. If a marble is drawn from the bag, what is the probability that it is not blue?

Click here to see answer by mathsmiles(68)

Question 572822: If you spin a spinner 50 times, how many times do you expect it to stop on 10?
Click here to see answer by solver91311(16885)

Question 572870: A bag Contains 8 white marbles and 7 blue marbles. Find the Probability of selecting each combination.
Q1: 2 white and 3 blue
Q2: 3 white and 2 blue
Click here to see answer by stanbon(57352)

Question 572834: if rolling 2 dices what is the probability of rolling an even number?
Click here to see answer by stanbon(57352)

Question 572827: the first card selected from a standard 52-card deck is a king.If the king is not replaced, what is the probability that a king will be drawn on the second selection?
Click here to see answer by stanbon(57352)

Question 572817: what is probability that a king will be selected on the first draw from the deck and another king on the second draw(assuming that the first king was not replaced)
Click here to see answer by stanbon(57352)

Question 572777: Kathy has a 90 average on her first four tests. What does Kathy need to score on the next test to have exactly a 92 average for the five tests?
Click here to see answer by stanbon(57352)

Question 572774: A couple wants to start a family. A doctor tells the couple based on many factors, the probability distribution for possible birts is given. G for girl and B for boy. Assume the probabilities don't change for any reason.
X P(X=x) G 5/9 B 3/8
What is the probability that within the first 7 births the family will have at least 2 boys?
Click here to see answer by stanbon(57352)

Question 572905: Determine the level of the confidence given the confidence coefficient z(α/2) for the following situation:
z(α/2) = 2.58

Click here to see answer by stanbon(57352)

Question 572910: the height of fully grown roses in the presidents graden is normally distributed with a mean of 16 inches and a standard deviation of 3 inches. a fully grown rose is picked from the garden. this rose is 7 inches tall. how do you know that there are not many roses of this size? use what you know about normal distributions and probabilities to answer this queston with at least 5 sentences.
Click here to see answer by richard1234(5390)

Question 572725: This is from a practice assignment and I cannot figure out how to solve the question. I would appreciate an explanation as to how the answer is obtained rather than just the answer.
A math professor notices that scores from a recent exam are normally distributed with a mean of 64 and a standard deviation of 5. Answer the following questions using integer values. What score do 75% of the students exam scores fall below?
And, the professor decides to grade on a curve. If he wants .15% of the students to get an A, what is the minimum score required.
I have tried a "calculator" I found online and the answers it provided gave me 50% credit and I don't know which answer is correct as I don't know how to do the actual calculation. First answer - 67.3587. Second answer - 58.8284.
I would appreciate referral to any valid resources as it has been many, many years since I took a math class.
Thank you.
Click here to see answer by stanbon(57352)

Question 572713: Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 550 depressed individuals is selected and treated with Resithan, and 263 find relief from their depression. A random sample of 401 depressed individuals is independently selected from the first sample and treated with Exemor, and 189 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion of all depressed individuals taking Resithan who find relief from depression is greater than the proportion of all depressed individuals taking Exemor who find relief from depression?
Perform a one-tailed test.

Click here to see answer by stanbon(57352)

Question 572550: How mnay people do you need to gather to be sure that at least two of them have a birthday in the same month?
Click here to see answer by richard1234(5390)

Question 573118: I am planning a trip covering 2,823 miles.
If I want to drive 8 hours per day, how many days will it take to arrive?
Click here to see answer by Alan3354(30993)

Question 573172: Find the probability of exactly three boys in five births. Assume that male and female births are equally likely and independent.

0.125

0.3125

0.5

0.6

0.6875

Click here to see answer by oscargut(891)

Question 573188: What is the probability that the hand is a flush?
Click here to see answer by vleith(2825)

Question 573349: eight roses grew in a garden 1/4 of them were picked and put in a vase how many were left

Click here to see answer by stanbon(57352)

Question 573329: A card is drawn four times from a regular deck, with replacement each time. Determine the probability that exactly two hearts turn up.
Thanks
Click here to see answer by stanbon(57352)

Question 573489: What is the estimated product if the problem is 1/3 * 22?
Click here to see answer by stanbon(57352)

Question 573470: A bag of marbles contains 2 green, 1 blue and 3 red marbles. If two marbles are drawn at random without replacement what is the probability that both will be red?
a) 1/5 b) 1/10
c) 1/6 d) 1/12
Click here to see answer by stanbon(57352)

Question 573467: how many cards in a full deck are kings OR red?
Click here to see answer by stanbon(57352)

Question 573522: the annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution as show by the graph.
a. What is the smallest annual per capita consumption of ice cream that can be in the top 25% of consumption?
b. What is the largest annual per capita consumption of ice cream that can be in the bottom 15% of consumption.
Click here to see answer by stanbon(57352)

Question 573559: Consider rolling a standard die with six sides (numbered 1 through 6) one time. Let the random variable X be the number the die lands on. What is the expected value of X?
Click here to see answer by reviewermath(524)

Question 573830: Suppose a survey of 1,000 citizens finds that the proportion of respondents who report not having health insurance is .200. Would this sample result be unusual if the true proportion in the population is .158?
Click here to see answer by stanbon(57352)

Question 573800: The question is: Compute: 8C2
But the 8 and 2 are subscripts. How do I calculate this, and what does it mean?
Click here to see answer by scott8148(6628)

Question 573798: The question is: Suppose 2 scholarships, $1000 each, is to be given to 2 students. There are 9 applicants. How many choices of 2 awardees are possible?
I know the answer is 36 because I wrote it out on paper. But how to I calculate this with a formula?
Click here to see answer by scott8148(6628)

Question 573829: A committee of two people is being selected from three women and two men by choosing a name out of a hat one at a time. Determine the probability of a man being chosen given that the first name chosen is a female using the conditional probability formula.
Click here to see answer by stanbon(57352)

Question 573822: Number of cavities- In a dental survey of third-grade students, this distribution was obtained for the number of cavities found. Find the average number of cavities for the class. Use the weighted mean.
Number of students
12
8
5
5
Number of cavities
0
1
2
3
Click here to see answer by stanbon(57352)

Question 573802: If you pay $20 to enter a game and the winning a prize money of $1000 is 1 out of 200, $500 is 1 out of 100, $200 is 1 out of 50, $100 is 1 out of 20. Do you lose or win in a long run?
Click here to see answer by stanbon(57352)

Question 573884: Ten jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of green jelly beans selected in 10 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.

Click here to see answer by solver91311(16885)

Question 573887: On a field trip, 4 students bring bag lunches. On the way there, the bag lunches get mixed up. What is the probability that exactly 1 student gets his or her own bag lunch back?
Click here to see answer by solver91311(16885)

Question 573882: 6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?
Click here to see answer by solver91311(16885)

Question 573514: Here's another puzzle featuring squares -- but this time there's really no geometry involved, just a little game.
Suppose we play the following simple game on the 5-by-5 grid of squares shown at right.
• Begin with your game piece on the upper left square (marked "S" for "Start").
• You move your game piece by flipping a coin:
o If the coin comes up "heads", you move one square to the right.
o If it comes up "tails", you move one square down.
o If you are on the right edge and get "heads", you do nothing and wait for the next coin flip. Similarly if you are on the bottom row and get "tails".
• You keep moving until you either
o lose by landing on one of the red squares along the diagonal, or
o win by arriving safely at the lower right corner (marked "F" for "Finish").
Your challenge this week is to calculate the probability that you will win this game. Assume that the coin you flip is a fair one.
Click here to see answer by richard1234(5390)

Question 574027: The mean is 15.2 and the standard deviation is 0.9. Find the probability that X is greater than 17.
Click here to see answer by stanbon(57352)

Question 574031: Each month, a random digit is picked for the month. This person has an incentive of choosing random numbers but continues to pick the same number routinely. What is the probability that the same number will be picked 5 of of 12 months. The number is not necessarily consecutive but it just occurs that the same number if picked on a recurrent basis.
Click here to see answer by stanbon(57352)

Question 573960: if jack has five consecutive odd numbers. Four times the second minus nine times the fifth is a negative one hundred finty-nine. Find jack's numbers
Click here to see answer by stanbon(57352)

Question 574039: A new television series must show that it has at least 25% of the viewing audience after its initial 13- week run, in order to be judged successful. In a sample of 400 households, 112 were watching the series. At a 5% significance level, would the series be judged successful on the basis of this sample information?
Click here to see answer by stanbon(57352)

Question 574072: what is the probability of drawing a five (any suit)in a full deck of cards
Click here to see answer by stanbon(57352)

Question 574069: 2. Approximately 20% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomial distribution.
a. What is the probability of finding exactly 5 in the 20 who belong to an HMO?
b. What is the probability of finding at least one in the 20 who belongs to an HMO?

Click here to see answer by reviewermath(524)

Question 574154: Paul's Pizza sells 6-inch pizzas. Below is the menu:
Deluxe = $9.99
Sausage = $5.99
Mushroom = $5.50
Cheese = $4.99
Taking into account that $1.00 is charged on each additional topping, is it a better deal to buy the deluxe pizza or to buy a cheese pizza with 2 additional toppings? What is the price per square inch of the better deal? (Use 3.14 for π. The size of the pizza is its diameter.)
My answer = Deluxe pizza; $0.09
Click here to see answer by richard1234(5390)

Question 573927: Suppose P(A)=0.27 and P(B)=0.51. If A and B are independent of each other, then what is P(A and B)? Round your answer to two decimal places.

Click here to see answer by richard1234(5390)

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