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

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Question 609807: You draw from bag 5 times, and there are 4 red and 6 black balls in the bag. what's the probability that 3 red will be drawn with no replacement?
Click here to see answer by ewatrrr(24785) About Me 

Question 609914: Suppose there are 3 red balls, 4 blue balls, and 5 black balls. What’s the minimum number of balls you have to draw to ensure you have at least one ball in every color?

Click here to see answer by richwmiller(17219) About Me 

Question 609930: an urn contains 5 yellow, 6 green and 7 blue balls. two balls are randomly drawn without replacement. find the probability of the following events:
A. both balls are green
B. the first ball is blue and the second is yellow
C. there is one green and one yellow ball

Click here to see answer by ewatrrr(24785) About Me 

Question 609928: the lifetime of a battery is normally distributed with a mean life of 40 hours and a standard deviation of 1.2 hours. find the probability that a randomly selected battery lasts longer than 42 hours?
Click here to see answer by ewatrrr(24785) About Me 

Question 609927: a basketball player makes 70% of the free throws he shoots. if he tries 13 throws what is the probability that he will make more than five throws?
Click here to see answer by ewatrrr(24785) About Me 
Question 609927: a basketball player makes 70% of the free throws he shoots. if he tries 13 throws what is the probability that he will make more than five throws?
Click here to see answer by htmentor(1343) About Me 

Question 609909: 5. Jane has twelve stamps worth 25 cents each and eight stamps worth 13 cents each? She selects five stamps without looking. What is the probability that she takes three of the 25 cent stamps and two of the 13 cent stamps?

Click here to see answer by ewatrrr(24785) About Me 

Question 609947: assume that a school district has 10,000 6th graders. in the district, the average weight of a 6th grader is 80 pounds, with a standard deviation of 20 pounds. suppose you draw a random sample of 50 students. what is the probability that the average weight of a sampled student will be between 75 and 105 pounds?
Click here to see answer by stanbon(75887) About Me 

Question 609950: a truck dispatcher for UPS sends a selivery truck to six different cities. if the truck hits all six locations in a random order, what is the prooooobability that the truck visits the cities in alphabetic order?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 609949: Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at random, what is the probability that he or she would prefer cheese? Give soutionexactly in reduced fraction form.
Click here to see answer by stanbon(75887) About Me 

Question 609902: The amount of Jen's monthly phone bill is normally distributed with a mean of $50 and a standard deviatin of $10. What is the 25th percentile?
Click here to see answer by ewatrrr(24785) About Me 

Question 609953: Last fall, a gardener planted 60 iris bulbs. She found that only 45 of the bulbs bloomed in the spring. Find the empirical probability that an iris bulb of this type will bloom and how many of the bulbs should sh plant next fall if she would like at least 52 to bloom?
Click here to see answer by stanbon(75887) About Me 

Question 609955: two dice are rolled. find the probability of the following events.
A. both numbers are 4
B. the first dice fives 3 and the second gives 5
C. there is one 5 and one 6
D. one number is even and one number is odd
E. the sum is equal to 7
F. the sum is equal to 11
G. the sum is 7 or 11
H. the sum is more than 6 but less than 10

Click here to see answer by stanbon(75887) About Me 

Question 609951: A community 5k run will award $50 to the winner. 75 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fai price for the competition? Round to the nearest cent.
Click here to see answer by stanbon(75887) About Me 

Question 609948: A final exam in statistic has a mean of 73 with a standard deviation of 7.73. Random sample of 24 students is selected and the mean test score of the sample is computed. What percentage of sample means are less than 70?
Click here to see answer by stanbon(75887) About Me 

Question 609977: I have 18 letters in envelopes and stamps for 10. If one letter is selected @ random find the probability that it will be a
A) Stamped letter
B) Not a stamped letter
[In trying to solve this, there are 18 total, 10 w/stamps, therefore 8 w/o stamps. I'm not able to come up with the answers (a. 5/9 and b. 4/9) working with 10 and 8. Your direction is always appreciated. I'm sure it is simple].

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

Question 609996: A child has one card numbered 1 through 9. The child places three cares in a row to form a three digit number. Find the probalitity that the number is larger than 500.
[honestly, I'm not sure where to even start with this one! Any help is appreciated!]

Click here to see answer by scott8148(6628) About Me 

Question 610021: A random sample of 33 adult men had a mean weight of 182.5 pounds and a standard deviation of
22.5 pounds. Find a 99% confidence interval for the mean weight of adult men.

Click here to see answer by ewatrrr(24785) About Me 

Question 609974: An aviary contained 12 birdies and 15 eagles. Bogey left the window open and before Paar shut it, seven of them had flown out. Find the probability that 4 birdies and 3 eagles escaped through the window in alternating order.

Click here to see answer by ewatrrr(24785) About Me 

Question 610031: a napa auto parts supplier wants information about how long car owners plan to keep their cars . A random sample of 41 car owners results in a mean of 7 years with a standard deviation of 3.75 years. Find the 95% confidence interval for the true population mean. Identify the point estimate for mean and margin of error
Click here to see answer by stanbon(75887) About Me 

Question 609989: I have 8 cans of soft drinks, 4 different brands with 1 regular and 1 diet for each brand. I arrange 4 cans in a row randomly. Find probability that first two are diet and second two are regular?
[I know the anser is 3/35, but I'm not sure how to get this using the combination of 2 out of 4 for regular, and 2 out of 4 for diet. Thanking you in advance for the direction!]
DCM

Click here to see answer by ewatrrr(24785) About Me 

Question 610020: A random sample of movie lengths in minutes is as follows:
110 95 131 257 118 153
8. Find the standard deviation.
9. Are any of these movie lengths considered unusual in the sense of our textbook?
Explain. Does this differ with your intuition? Explain.

Click here to see answer by stanbon(75887) About Me 

Question 610066: People were polled on how many books they read the previous year. How many subjects are needed to estimate the number of books read the previous year within one book with 99% confidence? Initial survey results indicate that the standard deviation is 14.1 books.
Click here to see answer by stanbon(75887) About Me 

Question 610074: The data below represents the amount of grams of carbohydrates in a sample serving of breakfast cereal.
10 18 24 30 19 22 24 20 18 25 20 22 19

QUESTION 12 The standard deviation for this data would be __________ grams.
Answer should be between two and four decimal places e.g. 1.23, 1.234, 1.2345 etc.
Please do NOT include units (grams) in your answer.

Click here to see answer by stanbon(75887) About Me 

Question 610069: Given belly button height (x) of students is normally distributed with a mean of 100cm and a standard deviation of 20cm. Find P(90 < x < 120).
Given that X the random variable belly button height (x) has a mean of 100 cm and standard deveiation of 20cm. Find belly button height x, such that P(belly button height [X] <=x) = 0.025.

Click here to see answer by stanbon(75887) About Me 

Question 610019: A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.
Are A and B mutually exclusive? Why or why not?
Are A and B independent? Why or why not?

Click here to see answer by stanbon(75887) About Me 

Question 609862: three persons A,B and C speak at a function along with five other persons. If the persons speak at random, find the probability that A speaks before B and B speaks before C.
Click here to see answer by stanbon(75887) About Me 

Question 609899: How do you find expected value?
Click here to see answer by richard1234(7193) About Me 

Question 610142: A diameters of bolts produced by a certain machine ae normally distributed with a mean of 0.30 inches and a standard deviatin of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
I have: 0.32-0.30/0.01=2

Click here to see answer by nerdybill(7384) About Me 

Question 610148: Unfair coin has the probabiolity of a head is 1/4 and the probabiolity of a tails is 3/4. If tossed 32 times, how many heads do you expect to see?
I have: 16 times

Click here to see answer by ewatrrr(24785) About Me 

Question 610146: A sampole space consists of 64 separate events what are equally likely. What is the probability of each?
I have: 1/64

Click here to see answer by ewatrrr(24785) About Me 

Question 610145: a mean score on a standardized test is 50 with a standard deviation of 10. (a)What scores fall between -1 and +1 standard deviation? (b) What percent of all scores fall between -1 and +1 standard deviation? (c) What score falls at +2 standard deviations? (d)What percentage of scores falls between +1 and +2 standard deviation?
I have: a. 50+10=60, 50-10=40
b. 60%,40%
c. n/a
d. 40%, 30%
What did I do wrong?

Click here to see answer by ewatrrr(24785) About Me 

Question 610165: Scores on the Stanford Binet Intellengence scale have a mean of 100 and a standard deviation of 16 and are presumed to be normally distributed. A person who scores a 116 on this scale has what percentile rank within this population? Please explain.
Click here to see answer by flame8855(424) About Me 

Question 610159: In terms of the mean and standard deviation:
What does it mean to say that a particular value of x has a standard score of +0.5?
What does it mean to say that a particular value of x has a z-score of -3.3?

Click here to see answer by stanbon(75887) About Me 

Question 610163: A sample of purchases at the local convenience store has resulted in the following sample data, where x = the number of items purchased per customer and f = the number of customers.
x 1 2 3 4 5

f 7 17 8 8 7
What does the 17 stand for in the above table?
Find the midrange of items purchased.
How many items were purchased by the customers in this sample?

Click here to see answer by stanbon(75887) About Me 

Question 610161: In each of the examples listed below, one of the variables is independent (x) and of the given variables is dependent (y). Help me determine whether each is a dependent variable or independent variable:
I. DNA of children; DNA of parents
II. Gas consumption; miles driven
III. Alcohol consumption; Blood alcohol level
IV. Average annual snowfall; Geographic location

Click here to see answer by stanbon(75887) About Me 

Question 610176: Airline overbooking is a common practice. Due to uncertain plans, many people cancel at the last minute or simply fail to show up. Air Eagle is a small commuter airline. Its past records indicate that 80% of the people who make a reservation will show up for the flight. The other 20% do not show up. Air Eagle decided to book 12 people for today’s flight. Today’s flight has just 10 seats.
1. Find the probability that there are enough seats for all the passengers who show up. (Hint: Find the probability that in 12 people, 10 or less show up.)
2. How many passengers are expected to show up?

Click here to see answer by stanbon(75887) About Me 

Question 610173: Refer to the following information for Questions 1, 2 and 3.
A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value. We then put the chip back in the box. We repeat this process two more times, making three draws in all from this box.
1. How many elements are in the sample space of this experiment?
2. What is the probability that the three numbers drawn are not all the same?
2. What is the probability that the three numbers drawn are all different?

Click here to see answer by stanbon(75887) About Me 

Question 610171: I need as many details as Possible. Thank you.
The histogram below shows the distribution of 50 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week.
age frequency
10 3
20 18
30 13
40 6
50 5
60 3
70 1
80 0
90 1
1. What percentage of deaths were individuals younger than 35?
2. Is this histogram left-skewed, right-skewed, symmetric, or neither of these? Explain your
answer.
3. Calculate the mean of this frequency distribution.
4. In what age range must the median lie? Explain your answer.
5. Assume that the largest observation in this dataset is 90. Suppose this observation were
incorrectly recorded as 900 instead of 90. Will the mean increase, decrease, or remain
the same? Will the median increase, decrease or remain the same? Explain your
answers.

Click here to see answer by stanbon(75887) About Me 

Question 610184: Student ID codes consist of uppercase letters as well as the digits 0 through 9.
How many 2 character ID codes are possible if repeated characters are not allowed?

Click here to see answer by flame8855(424) About Me 

Question 610183: Please I need help in this question because I dont the difference btw thw z and x interval. A high school counselor was given the following z intervals concerning a vocational training aptitude test. The test scores had a mean 450 points and standard deviation 35 points. convert each z interval into an x interval.
a) -1.14 _< z _< 2.27 ( _< = greater than and equal to)
b) z _< -2.58
c) 1.645 _< z

Click here to see answer by scott8148(6628) About Me 

Question 610138: Student ID codes consist of upper case letters as well as the digits 0-9
How many 2-character ID codes are possible?

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

Question 610155: A student scored 83 percent on a test, and was in the 80th percentile. Can you please explain these two numbers.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 610156: In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent.
I. DNA of children; DNA of parents
II. Gas consumption; Miles driven
III. Alcohol consumption; Blood alcohol level
IV. Average annual snowfall; Geographic location

Click here to see answer by jim_thompson5910(35256) 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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