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

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Question 1013462: Hello,
I am studying for a probability test and at this rate I probably will not do well (ha).
I have copied down a few problems with the answers. It would help me a lot if someone could explain how to set up the problem.
Thank you.
question 1:
3/5 of workers in a factory are men, 2/5 are women. 40% of the men and 60% of the women do not smoke. You randomly choose a worker. What is the probability that the chosen worker does not smoke?
( Answer: 12 / 25 )
question 2:
There are 2 jars. In one jar there are 7 black balls and 3 blue balls. In the second jar There are 9 black balls and 6 blue balls. You throw a cube. If you get the number 5 or 6, you choose randomly a ball from the first jar. If you get any other number, you choose randomly from the second jar. What is the probability that you will choose a blue ball from the first jar? What is the probability that you will choose a blue ball?
(Answer 1/10 11/30)

Question 3:
2 people throw a ball at the same time. One of them hits the target 55 out of 100 times, and the other one hits it 95 out of 100 times.
What is the probability that exactly one of the throws Will hit the target?
(answer: 91 / 200 )
What is the probability that at least one of the throws will hit the target?
(answer: 391 / 400 )

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

Question 1013677: A proffessor does not remember which of his keys will open his office door . if he tries them at random and with replacement
a.what is the probability that he opens his office door at the third trial ?
B.what is the probability that at least 6 trials have to be made to open the office ?
C. What is the expected value of the trials to open his door ?

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

Question 1013792: Your friend says that she has a card trick to show. She has separated a deck of cards so that the deck of cards contain no aces or face cards. She asks you to draw a card and then tells you to multiply the number on it by 7. Next she tells to add the sum of your number and 40 to the product you found. Last she tells you to divide by the sum of your number and 5. She gurentees she can guess this final quotient. Explain how she is able to do this
Click here to see answer by KMST(5328) About Me 

Question 1013776: A relief worker needs to divide 240 bottles of water and 144 cans of food into groups that each contain the same number of items. Also, each group must contain the same type of item (bottled water or csnned food). What is the largest number of relief supplies that can be put into each group?

I need help please, much appreciated!!

Click here to see answer by mathmate(429) About Me 
Question 1013776: A relief worker needs to divide 240 bottles of water and 144 cans of food into groups that each contain the same number of items. Also, each group must contain the same type of item (bottled water or csnned food). What is the largest number of relief supplies that can be put into each group?

I need help please, much appreciated!!

Click here to see answer by josmiceli(19441) About Me 

Question 1013826: Pouches of specialty chemicals are tested for presence of impurities a or b, which render the chemical unfit for use. The fitness for use is tested separately. Suppose 10% of the pouches have impurity a, 5% have impurity b,1% have both impurities a & b. Other pouches are free of impurities. The probabilities of being unfit for use are 1%, 2%, 6%, and 0.1% for pouches with impurity a,impurity b, both impurities a & b, and no impurities respectively. What is the probability of a randomly chosen pouch being found unfit for use?
Click here to see answer by mathmate(429) About Me 

Question 1013867: Hi..I was going over my granddaughter's homework and would like to know if you can explain it to me for my own peace of mind. I'm sure once it is explained it will probably be easy to understand..Thanks
Tranh needs to randomly assign 6,000 people into 6 approximately equal-sizes groups for a big event. She decides to use a number cube to assign them each a number from 1 to 6, which will represent the group they are in. She does a test-run with the number cube the day before the event. The results of her test-run are (in the table below): Number 1 times rolled 161, number 2 times rolled 160, number 3 times rolled 162, number 4 times rolled 206, number 5 times rolled 150, number 6 times rolled 161. What is the theoretical probability of rolling each number on the number cube, and what is the experimental probability based on Tranh's test? Explain how you calculated each probability. Can Tranh use her results to randomly assign everyone to an approximately equal-sized groups? Explain.

Click here to see answer by rothauserc(4718) About Me 

Question 1013898: the train from limerick to cork makes only a few stops. after one-eighth of the journey it stops to let off some passengers. it then travels 30km and stops again, bringing it to the halfway point. one more stop is made to divide the rest of the journey in two.
how long is the trip?

Click here to see answer by josmiceli(19441) About Me 

Question 1014006: 'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's is 8%. In which class would a mark of 90% be more meaningful? Explain your reasoning.'

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

Question 1014073: A certain TV show recently had a share of 75, meaning that among the TV sets in use, 75% were tuned to that show. Assume that an advertiser wants to verify that 75% share value by conducting its own survey, and a pilot survey begins with 13 households having TV sets in use at the time of the TV show broadcast. Complete parts A-D
Click here to see answer by stanbon(75887) About Me 

Question 1014072: When someone buys a ticket for an airline flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 16 passengers. Is it wise to book 18 passengers for a flight on the jet? Explain.
Click here to see answer by stanbon(75887) About Me 

Question 1014053: Find the minimum sample size n needed to estimate muμ for the given values of​ c, s, and E.
C =0.95​, S = 7.4​, and E =2
Assume that a preliminary sample has at least 30 members.

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

Question 1014038: There are 1000 components in a box of which 10 are known to be
defective. two components are selected at random. What is the
probability that
a)both are defective
b)neither is defective
c)just one is defective

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

Question 412163: Class records at Rockwood College indicate that a student selected at random has probability 0.79 of passing French 101. For the student who passes French 101, the probability is 0.81 that he or she will pass French 102. What is the probability that a student selected at random will pass both French 101 and French 102? (Use 3 decimal places.)

Click here to see answer by imarina0019(1) About Me 

Question 1014125: andrella is taking fencing and singing lessons at winter camp.fencing lessons are$14 per lessons. skiing lessons are $19 per lessons.Andrella has spent $207 on lessons so far.how many of each type of lessons has she had?
Click here to see answer by ikleyn(52748) About Me 

Question 1014310: how do I find the standard curve that lies to the right.
(a)z=1.00 (b)z=-1.05 (c) z=0 (d)z=2.80 (e)z=1.96

Click here to see answer by ikleyn(52748) About Me 

Question 1014264: Out of 300 applicants for the MPH program, 212 are female and 110 are female and have a nursing degree. If 152 of the applicants to the MPH program have nursing degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a nursing degree?
Click here to see answer by Theo(13342) About Me 

Question 1014343: Assume that in the MPH steering committee there are 17 men and 24 women. Two members are chosen at random to serve in the internship committee. What is the probability of choosing two members at random and the first being a male and the second one being a female? Hint: assume you do not want to choose the same member twice; therefore, pay attention to the denominator.
Click here to see answer by Theo(13342) About Me 

Question 1014347: Screencast 2 has a small error. Identify the error made while recoding the data and explain the consequences of this error.
Click here to see answer by ikleyn(52748) About Me 

Question 1014302: Suppose you toss a coin 100 times and get 54 heads and 46 tails, Based on these results what is the probability that the next flip results in a head?
Click here to see answer by Theo(13342) About Me 

Question 1014632: A sample of 586 adults were asked if they like the taste of pomelo juice and 235 responded positively?
A.) Find the probability that an adult interviewed at random like pomelo juice
B.) What is the probability that an adult does not like the taste of pomelo juice?

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

Question 1014631: A sample of 586 adults were asked if they like the taste of pomelo juice and 235 responded positively?

Click here to see answer by FrankM(1040) About Me 

Question 1014657: When 100 g of C6H16N2 (used in nylon) are decomposed, 62.01 g of C, 13.87 g of H, and 24.11 g of N are produced. Find the percent composition.
Click here to see answer by macston(5194) About Me 
Question 1014657: When 100 g of C6H16N2 (used in nylon) are decomposed, 62.01 g of C, 13.87 g of H, and 24.11 g of N are produced. Find the percent composition.
Click here to see answer by ikleyn(52748) About Me 

Question 1014637: A chip is drawn at random from a jar containing 8 red, 2 blue, 3 green, 4 yellow, and 3 white chips. Determine the probability that it is:
A.Red
B.Green
C.Yellow or red
D.Blue or white
E.Orange
F. not white

Click here to see answer by macston(5194) About Me 

Question 1014696: The route from A to B passes two traffic light. at the first traffic light ,the red light lasts for 12 seconds,the green light for 25 seconds and yellow light for 3 seconds.at the second traffic light,the red light lasts for 10 seconds, the green light for 8 seconds & yellow light for 2 seconds.
What is the probability of driving a car from A to B without waiting for the traffic lights?

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

Question 1014641: six cions are flipped simultaneously. What is the probability that there are:
A) At least 5 heads?
B) At least 3 tails?
C) No heads?
D) at most 2 tails?

Click here to see answer by skippo(9) About Me 

Question 1014666: A building has 8 floors. Suppose 7 people got in the elevator on the ground floor and that each person gets off on the upper floors. What is the probability that they got off on different floors?
Click here to see answer by mathmate(429) About Me 

Question 1014639: six cions are flipped simultaneously. What is the probability that there are:
A.) At least 5 heads?
B.) At least 3 tails?
C.) No heads?
D.) At most 2 tails?

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

Question 1014556: Let Z be a standard normal random variable. Use the calculator provided to determine the value of C such that
P (C greater then or equal to Z greater then or = -1.19) = 0.0890
Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
Could really use your advice on this one! any help is greatly appreciated.

Click here to see answer by rothauserc(4718) About Me 

Question 1014721: A company selected 4000 households at random

Click here to see answer by macston(5194) About Me 
Question 1014721: A company selected 4000 households at random

Click here to see answer by fractalier(6550) About Me 

Question 1014770: A bank's loan officer rates applicants for credit approval. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 225 and 275.
Click here to see answer by stanbon(75887) About Me 

Question 1014767: Two-tailed test; 0.10
o Assume that the normal distribution applies and find the critical z values.
• Use the following information to find the P-value.
o The value of the test statistic for a right-tailed one mean z test is z = 2.50.
Use a 0.05 significance level and state the conclusion about the null hypothesis—reject the null hypothesis or fail to reject the null hypothesis.
• Test the claim: A simple random sample of 50 adults is obtained, and each person’s red blood cell count (in cells per micro-liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?
• Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and the conclusion that addresses the original claim. Use the P-value method.



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

Question 1014748: a study conducted revealed that 5% of those who visit a mall spend more than 4 hours there. if 1000 people are randomly selected from those who visit malls find the probability that at least 60 or more of them spend more than 4 hours there. If 1000 people are randomly selected from those who visit malls find the probability that at least 60 or more of them spend more than 4 hours there
Click here to see answer by robertb(5830) About Me 

Question 1014901: A card is chosen from a deck of cards and returned. In a total of 54 trials, 38 red cards were chosen.
a) Write the experimental probability of choosing a red card, expressed as a decimal
b) Write the Theoretical probability of choosing a red card, expressed as a decimal.
c) Explain how you might get the results from part a) closer to the results for part b)

Click here to see answer by robertb(5830) About Me 

Question 1014902: Eg. Of 200 seniors at a certain college, 98 are women, 34 are majoring in Biology, and 20 Biology majors are women. If one student is chosen at random from the senior class, what is the probability that the choice will be either a Biology major or a women).

Click here to see answer by robertb(5830) About Me 

Question 1014903: A basketball player made 28 of the 54 three point shots she took in 5 games.
a)How many shots will she make in her next game if she attempts 8 three point shots?
b) How many shots will she make this session, if she attempts 880 three points shots this season?

Click here to see answer by robertb(5830) About Me 

Question 1014945: If 4 factories in a group of 24 factories in a certain community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability ? a. none of the violators will be selected for inspection
b. all violators will be for inspection

Click here to see answer by robertb(5830) About Me 

Question 1014754: One investigating company tracked all credit card purchases during 2012 and measured two variables: (1) the type of credit card used (VISA, MasterCard, American Express, or Discover), and (2) the amount (in dollars) of each purchase. The data set collected represents data set, population, census, or sample?

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

Question 1014977: From the first 15 natural number, a number is chosen. Find the probability of getting a prime number or an odd number.
Click here to see answer by fractalier(6550) About Me 

Question 1014982: if there are 2 ducks in a watering hole and one has a 60 percent chance of being shot and the other has a 90 percent chance of being shot then what is the probability of both getting shot? Thank you!
Click here to see answer by LinnW(1048) About Me 

Question 1014971: Find the area under the standard normal curve between z = 0 and z = 1.95.
Click here to see answer by Fombitz(32388) About Me 

Question 1015043: 25 babies are born in a hospital in a week. Find the probability that
a) At least 12 are girls
b) At most 7 are girls
c) Exactly 8 are girls

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

Question 1014919: Draw the Venn diagram for the following information
Let U= {1,2,3,4,5,6,7,8}
A= {2,4,6}
B={1,2,5,8}
C={1,3,7}
Find
1. A^B
2. A^(BUC)
3. (AUC') U (BUA')

Click here to see answer by solver91311(24713) 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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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, 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