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

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Question 1055917: A box contains 20 blocks. Fifteen of the blocks are red, the rest are green. If 6 blocks are selected at random:
A. How many ways can 4 red blocks and 2 green blocks be selected?
B. How many ways can any 6 blocks be selected regardless of color?

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

Question 1055945: If the chance of an overnight freeze in Rexburg on any given night is 0.5, what is the probability it will freeze one or more of the next 12 nights in Rexburg?
Click here to see answer by ikleyn(52752) About Me 

Question 1055966: Ted has a cat carrier which will hold 3 cats. Unfortunately, Ted has 5 cats: Muffy, Nero, Oprah, Penny, and Quade.
a. Make an organized list to show all the ways Ted can chose 3 cats at random to put in the cat carrier. My answer: 5 x 4 x 3 = 60 I am not sure how to make a list.
b. How many of the ways in part (a) contain Oprah?
c. How many ways in part (b) contain both Muffy and Nero.
d. Based on your answers to parts (a) and (b) what is the probability that Oprah will end up in the cat carrier?

Click here to see answer by stanbon(75887) About Me 
Question 1055966: Ted has a cat carrier which will hold 3 cats. Unfortunately, Ted has 5 cats: Muffy, Nero, Oprah, Penny, and Quade.
a. Make an organized list to show all the ways Ted can chose 3 cats at random to put in the cat carrier. My answer: 5 x 4 x 3 = 60 I am not sure how to make a list.
b. How many of the ways in part (a) contain Oprah?
c. How many ways in part (b) contain both Muffy and Nero.
d. Based on your answers to parts (a) and (b) what is the probability that Oprah will end up in the cat carrier?

Click here to see answer by addingup(3677) About Me 
Question 1055966: Ted has a cat carrier which will hold 3 cats. Unfortunately, Ted has 5 cats: Muffy, Nero, Oprah, Penny, and Quade.
a. Make an organized list to show all the ways Ted can chose 3 cats at random to put in the cat carrier. My answer: 5 x 4 x 3 = 60 I am not sure how to make a list.
b. How many of the ways in part (a) contain Oprah?
c. How many ways in part (b) contain both Muffy and Nero.
d. Based on your answers to parts (a) and (b) what is the probability that Oprah will end up in the cat carrier?

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

Question 1055970: Suppose 20% of business majors major in accounting. You take a random sample of 2 business majors.
What is the chance that none of them major in accounting?

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

Question 1055962: Graduate high school students who passed, 125. Undergraduate students 280. Total pass,405.
Graduates who failed 55, Undergraduates who failed were 50. Total failed together, both graduates and undergraduates were 105, and total passed together were 405. How would I solve if given this problem?
a. P(Pass)
b. P(Pass and Graduate)
c.P(Fail/undergraduate /Fail)
D.P(Graduate/Fail)
and
e. P(Pass or Undergraduate)

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

Question 1055940: Please use the binomial distribution formula to solve, n=12, x=5, and p=0.25
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1055939: A computer salesman averages 0.9 sales per week. Use the Poisson distribution to find that in a randomly selected week the number of sales sold is 1.
Click here to see answer by Boreal(15235) About Me 

Question 1056069: 31 A continuous random variable X has the following probability density function:
f(x) = 1/4, 0 ≤ x ≤ 4
Find the following probabilities:

a. P(X ≤ 1)
b. P(X ≤ 2)
c. P(1 ≤X ≤ 2)
d. P(X = 3)
I am totally lost.

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

Question 1056083: the area under the standard normal curve to the right of z = -1.25
Click here to see answer by Boreal(15235) About Me 

Question 1056099: Suppose three machines A, B, and C produce similar engine components. Machine A produces 45% of the
total components, Machines produces 30%, and machine C produces 25%. For the usual production
schedule, 6% of the components produced by Machine A do not meet established specifications; for
Machines B and Machine C the figures are 4% and 3% respectively. One component is selected at random
from from the total output and is found to be defective. What is the probability that the component selected
was produced by machine A ?

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

Question 1056105: a company estimates that it has a 30% chance of being successful in bidding on a $40,000 contract. If it costs $6,000 in consultant fees to prepare the bid,what is the expected gain or loss if it decides to bid on this contract

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

Question 1056055: The probability that a randomly selected teenager studied at least once during a week was only 0.56. What is the probability that less than half of the students in your study group of 10 have studied in the last week? (Round your answer to two decimal places.)
Click here to see answer by Fombitz(32388) About Me 

Question 1056085: The probability that a person is left-handed is 14%; using a random sample of five people, create a probability distribution, graph the probability distribution, and find the mean and Standard deviation of those who are left-handed?
Click here to see answer by Fombitz(32388) About Me 

Question 1056138: Two dice both four sided and fair are rolled simultaneously and the product of the two numbers showing up is recorded
Tabulate :A) the possible outcomes
B) the sample space
C) Calculate th probabilty that the product will be :
1) and even number
2) an odd number
3) 18
D) Draw a venn diagram to illustrate the samplenspace(S) of this experiment and events E_even product and O_odd product
E) Why are events E and O mutually exclusive

Click here to see answer by Fombitz(32388) About Me 
Question 1056138: Two dice both four sided and fair are rolled simultaneously and the product of the two numbers showing up is recorded
Tabulate :A) the possible outcomes
B) the sample space
C) Calculate th probabilty that the product will be :
1) and even number
2) an odd number
3) 18
D) Draw a venn diagram to illustrate the samplenspace(S) of this experiment and events E_even product and O_odd product
E) Why are events E and O mutually exclusive

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

Question 1055941: A family has enough time and money to see only one movie, they all agree to see The Green Hornet. This is an example of an Elementary Event.
True or False

Click here to see answer by Fombitz(32388) About Me 

Question 1055927: From a bag with tickets marked 1 to 17 a ticket is drawn and replaced and a second drawing is done. what is the probability that
1) the first number drawn is even and the second is odd
2) the first number drawn is odd and the second is even
3) how are the results in 1) and 2) effected if the first ticket is not replaced.

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

Question 1056167: In this economically challenging time, yours truly, CEO of the Creative Products Enterprise, would like to make extra money to support his frequent filet-mignon-and-double-lobster-tail dinner habit. A promising enterprise is to mass-produce tourmaline wedding rings for brides. Based on my diligent research, I have found out that women's ring size normally distributed with a mean of 6.0, and a standard deviation of 1.0. I am going to order 5000 tourmaline wedding rings from my reliable Siberian source. They will manufacture ring size from 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0, 7.5, 8.0, 8.5, 9.0, and 9.5.
my question see below
How many wedding rings should I order for each of the ring size should I order 5000 rings altogether?

Click here to see answer by Fombitz(32388) About Me 
Question 1056167: In this economically challenging time, yours truly, CEO of the Creative Products Enterprise, would like to make extra money to support his frequent filet-mignon-and-double-lobster-tail dinner habit. A promising enterprise is to mass-produce tourmaline wedding rings for brides. Based on my diligent research, I have found out that women's ring size normally distributed with a mean of 6.0, and a standard deviation of 1.0. I am going to order 5000 tourmaline wedding rings from my reliable Siberian source. They will manufacture ring size from 4.0, 4.5, 5.0, 5.5, 6.0, 6.5, 7.0, 7.5, 8.0, 8.5, 9.0, and 9.5.
my question see below
How many wedding rings should I order for each of the ring size should I order 5000 rings altogether?

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

Question 1056168: Most of us love peaches, but hate buying those that are picked too early. Unfortunately, by waiting until the peaches are almost ripe to pick carries a risk of having 20% of the picked rot upon arrival at the packing facility. If the packing process is all done by machines without human inspection to pick out any rotten peaches,
my question below
what would be the probability of having at most 3 rotten peaches packed in a box of 12?

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

Question 1056177: We have 7 boys and 3 girls in our school choir. There is an upcoming concert in the local town hall. Unfortunately, we can only have 5 youths in this performance. This performance team of 5 has to be picked randomly from the choir of 7 boys and 3 girls.

My Questions below
a. What is the probability that all 3 girls are picked in this team of 5?
b. What is the probability that none of the girls are picked in this team of 5? c. What is the probability that 2 of the girls are picked in this team of 5?

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

Question 1056175: A department store manager has decided that dress code is necessary for team coherence. Team members are required to wear either blue shirts or red shirts. There are 9 men and 7 women in the team. On a particular day, 5 men wore blue shirts and 4 other wore red shirts, whereas 4 women wore blue shirts and 3 others wore red shirt. Apply the Addition Rule

My question below
How do I determine the probability of finding men or blue shirts in the team?

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

Question 1056188: so I have a problem the mean is 25,000 and the standard deviation is 2200
the question is find the probability that the mean acccumutated milage from a sample of 10 engines exceeds 27,000 miles

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

Question 1056162: A soda company want to stimulate sales in this economic climate by giving customers a chance to win a small prize for ever bottle of soda they buy. There is a 30% chance that a customer will find a winning icon at the bottom of the cap upon opening up a bottle of soda. The customer can then redeem that bottle cap for a small prize. Now, if yours truly buys a 6-pack of soda
My question below
what is the probability that I will win something, i.e., at least winning a single small prize?

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

Question 1056295:
In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the number on the gold ball​ (1 through 31). What is the probability of winning the​ jackpot?

Click here to see answer by Fombitz(32388) About Me 

Question 1056337: A class contain 28 girls and 22 boys of which half of the boys and half of the girls have a black eyes . Find the probability that a person chosen at random is a boy or has black eyes

Click here to see answer by Fombitz(32388) About Me 

Question 1056367: In the week before and the week after a​ holiday, there were 10,000
total​ deaths, and 4941 of them occurred in the week before the holiday.
a. Construct a 95​%
confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday.
b. Based on the​ result, does there appear to be any indication that people can temporarily postpone their death to survive the​ holiday?

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

Question 1056516: suppose a license plate contains three letters followed by three digits and the first digit cannot be zero. How many different license plate can be printed?
-thank you very much

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

Question 1056436: If there are 7 bolts in a widget and 6 widgets in an appliance, how many bolts are in 20 appliances?
Click here to see answer by Fombitz(32388) About Me 

Question 1056515: Each letter of the word LEARN is printed on one of 5 cards. How many 3-,4-,or 5-letter code words can be formed?
"thank you tutors"

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

Question 1056596:
During a period of 11​ years, of 700 people that were selected for grand jury​ duty,64​% of them were immigrants. Construct a​ 99% confidence interval for the percentage of grand jury members who were immigrants.

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

Question 1056583: A fair coin is flipped 5 times. What is the probability of getting at least 4 tails?
Click here to see answer by Boreal(15235) About Me 

Question 1056687: If 25% of U.S. federal prison inmates are not U.S. citizens, find the probability that 2 randomly selected federal prison inmates will not be U.S. citizens.
Click here to see answer by Fombitz(32388) About Me 

Question 1056710: Readings on a thermometer are normally distributed with a mean of 0C° and a standard deviation of 1.00.

What is the probability that a randomly selected thermometer reads:
a. Less than 0.53. (2 points)
b. Greater than -1.11 (2 points)
c. Between 1.00 and 2.25 (2 points)
d. Greater than 1.71 (2 points)
e. Less than -0.23 or greater than 0.23 (2 points)

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

Question 1056713: Men’s heights are normally distributed with a mean of 71.8 inches and a standard deviation of 3.4 inches. A social organization for short people has a requirement that men must be at most 65 inches tall. What percentages of men meet this requirement? Choose the correct answer:

1.) 3.28%
2.) 8.23%
3.) 2.82%
4.) 2.28%

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

Question 1056722: Find the critical value of t for a sample size of 23 and a 99% confidence level. Choose the correct value from below:

2.891
2.189
2.918
2.819

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

Question 1056721: Your firm wants to investigate how much money the typical tourist will spend on their next visit to New York. How many tourists should be included in your sample if you want to be 99% confident that the sample mean is within $20 from the population mean? From previous studies, we know that the standard deviation is $59.

56
57
58
59

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

Question 1056716: A local survey found that families of 5 spend, on average $167.45 in groceries a week. Assume the standard deviation is $23.78. Find the percentage of families that spend over $190.00 a week on groceries. Assume the variable is normally distributed. Choose the correct value:

1.) 7.11%
2.) 1.17%
3.) 17.11%
4.) 11.17%

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

Question 1056718: Find the margin of error (E) of a confidence estimate interval, when the confidence level is 95%, the sample size is 125, and the standard deviation is 4.
Click here to see answer by Boreal(15235) About Me 

Question 1056728: A fair number cube is rolled. What are the odds in favor of rolling a
6?

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

Question 1056720: Construct a confidence interval for the population mean given that the sample size is 120, the sample mean is 86.1, and sigma is 17, and the desired confidence is 90%. Choose the correct interval from the following:

(63.5, 68.7)
(73.5, 78.7)
(83.5, 99.7)
(83.5, 88.7)

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

Question 1056711: A researcher from a political party wishes to estimate with a 99% confidence level the proportion of female registered voters will vote for his candidate. What is the minimum sample size needed to be within 2% of the true population proportion?

1.) 4144
2.) 3133
3.) 4414
4.) 4441

Click here to see answer by Fombitz(32388) About Me 

Question 1056802: Suppose that you have 7 cards. 4 are green and 3 are yellow.
The 4 green cards are numbered 1, 2, 3, and 4. The 3 yellow
cards are numbered 1, 2, and 3. The cards are well shuffled.
Suppose that you randomly draw two cards, one at a time, and
with replacement.
• G1 = first card is green
• G2 = second card is green
Enter the probability as a fraction.
P(G1 AND G2) =

Click here to see answer by Edwin McCravy(20054) 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, 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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, 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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, 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