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

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Question 1127765: In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
A. Obtaining data with a small P -value.
B. Using a large level of significance.
C. Using a small level of significance.
D. Obtaining data with a large P -value.

Click here to see answer by amarjeeth123(569) About Me 

Question 1127881: What percentage of the area of the standard normal distribution is between z = -1.00 and z = +1.00? How is this possible?
Click here to see answer by MathLover1(20849) About Me 

Question 1128036: P(x<5)
P(x greater than or equal to 4)

Click here to see answer by ikleyn(52754) About Me 

Question 1128051: The mean of four number a b c and d is 8 and the mean of six number a b c d x and y is 7 and the value of x is 8 and y is 7 find the value of y
Click here to see answer by Mtrkcrc(8) About Me 

Question 1128053: Sorry the question is......... "The mean of four number a b c and d is 8 and the mean of six number of a b c d x and y is 7 and the value of x is 8. Find the value of y

Click here to see answer by Mtrkcrc(8) About Me 

Question 1128064: Calculate the Binomial distribution for the number of cars recovered if the probability of recovery for
any given car is 40% and 5 cars are stolen

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

Question 1128035: A random sample of size 25 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 10.
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)

51

Correct: Your answer is correct.

(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)

2.00

Correct: Your answer is correct.

(d) What is the probability that this sample mean will be between 42 and 52? (Give your answer correct to four decimal places.)


Incorrect: Your answer is incorrect.

(e) What is the probability that the sample mean will have a value greater than 51? (Give your answer correct to four decimal places.)


(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)


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

Question 1128023: About 12.5% of restaurant bills are incorrect. If 200 bills are selected at random, find the probability that at least 22 will contain an error.
Click here to see answer by Boreal(15235) About Me 

Question 1128074: How many three​-digit numbers may be formed using elements from the set {1,2,3,4,5,67,8,9} if no element may be used more than once in a number and the number must be even?
Click here to see answer by KMST(5328) About Me 

Question 1128121: Two number cubes are rolled. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?

Put your answer, in simplest fraction form

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

Question 1128112: An auditor takes a random sample of size n = 36 from a population of 1,000 accounts receivable. The mean value of the accounts receivable for the population is N260:00, with the population standard deviation N45:00. What is the probability that the sample mean will be less than N250.00?
Click here to see answer by stanbon(75887) About Me 

Question 1128135: 6 people are sitting in a room. When an 80 year old enters the room, the average age of the people in the room doubles. What was the average age of the six people originally sitting in the room?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1128136: Jeff’s algebra test average will be an 88 if he gets a 72 on the next exam and a 91 if he gets a 90 on the next exam. If all exams are weighted the same, how many exams has Jeff taken so far?
Click here to see answer by stanbon(75887) About Me 

Question 1128134: 36 students took the ACT , with a mean score of 25.5. The boys had a mean score of 23.5 , while the girls had a mean score of 28. How many girls were in the group?
Thank you for your help

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

Question 1128133: Mr. Taylor gave his class a test the day after spring break. The average score for all students was 80. The average score for those who passed was 84 and for those that failed was 60. If there were 60 students in the class, how many failed?
Thank you for your help

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

Question 1128129: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Click here to see answer by Alan3354(69443) About Me 

Question 1128157: A class contains 12 female and 20 male students. Find the probability that when two students are chosen randomly from the class, the first student is male and the second student is female.
Write the probability as a fraction in simplest form.

Click here to see answer by ikleyn(52754) About Me 

Question 1128098: A company wants to determine the level of interest among its employees for an annual summer picnic.The company wants to survey 200 employees.
What is the best way to randomly choose these 200 employees?


a) Choose 50 people from 4 of the 7 divisions at the company.
b) Use employee identification numbers to randomly select 200 employees.
c) Select the first 200 employees to arrive at work Monday morning.
d) Survey the first 200 people to enter the company cafeteria.

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

Question 1128176: assume that a box contains three red jelly beans and two green ones. We consider the event that a red bean is drawn. Suppose I pick a jelly bean from the box without looking, and I do not put the bean back in the box. Then I choose again. What is the probability of getting two red beans
Click here to see answer by Boreal(15235) About Me 
Question 1128176: assume that a box contains three red jelly beans and two green ones. We consider the event that a red bean is drawn. Suppose I pick a jelly bean from the box without looking, and I do not put the bean back in the box. Then I choose again. What is the probability of getting two red beans
Click here to see answer by ikleyn(52754) About Me 

Question 1128173: You play two unrelated games, one after the other. There is a 35% chance of winning the first game, and 40% chance of winning the second game. Use the product formula for independent events to find the probability that you win both games. P=_____%
Click here to see answer by Boreal(15235) About Me 

Question 1128169: The average salary of merchandisers is $45,000 per year with a standard deviation of $6000.. What is the average salary below which 20% of the merchandisers earn? What is the average salary above which the top 10% of the merchandisers earn?
Click here to see answer by Boreal(15235) About Me 

Question 1127908: 11. Breakfast Survey A dietitian read in a survey that at least 55% of adults do not eat breakfast at least 3 days a week. To verify this, she selected a random sample of 80 adults and asked them how many days a week they skipped breakfast. A total of 50% responded that they skipped breakfast at least 3 days a week. At a _ 0.10, test the claim.
Click here to see answer by Boreal(15235) About Me 

Question 1128226: A bag contains different colored beads. The probability of drawing two black beads from the bag without replacement is 335 , and the probability of drawing one black bead is 310 .
What is the probability of drawing a second black bead, given that the first bead is black?

Click here to see answer by ikleyn(52754) About Me 
Question 1128226: A bag contains different colored beads. The probability of drawing two black beads from the bag without replacement is 335 , and the probability of drawing one black bead is 310 .
What is the probability of drawing a second black bead, given that the first bead is black?

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

Question 1128245: Seven peas are generated from parents having the​ green/yellow pair of​ genes, so there is a 0.75 probability that an individual pea will have a green pod. Find the probability that among the 7 offspring​ peas, at least 6 have green pods. Is it unusual to get at least 6 peas with green pods when 7 offspring peas are​ generated? Why or why​ not?
Click here to see answer by greenestamps(13195) About Me 

Question 1128231: A sinusoidal function whose period is 12 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.
What is the equation of the function described?


f(x)=7cos(4x)+3
f(x)=7cos(4πx)+3
f(x)=7sin(4πx)+3
f(x)=7sin(4x)+3

Click here to see answer by greenestamps(13195) About Me 

Question 1127971: inside a dark closet are 5 hats;3 blue and 2 red. knowing this 3 mengo into the closet and each select a hat in the dark and places it unseen upon his head. once outside the closet,no men can see his hat.The first man looks at other 2 and thinks, and says, "I cannot tell what colour my hat is." the second man hears this, looks at the other two and says,"I cannot tell what colour my hat is either.".The 3rd man is blind and says,"well,I know what colour my hat is". What colour is his hat?
Click here to see answer by ikleyn(52754) About Me 

Question 1128186: A room has three lightbulbs. Each has a 10% probability of burning out within the month. What is the probability that all three will burn out within the month?

Click here to see answer by Quadratic1600(28) About Me 
Question 1128186: A room has three lightbulbs. Each has a 10% probability of burning out within the month. What is the probability that all three will burn out within the month?

Click here to see answer by ikleyn(52754) About Me 

Question 1128289: 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course
Click here to see answer by Alan3354(69443) About Me 

Question 1127739: Dunwich Hamlet A young and purely fictitious football team Dunwich Hamlet 1 has two types of fans. One type is a hardcore football aficionado, who buys season tickets and rarely misses games. The other type is a typical resident of Dunwich village, who supports his local team but does not go to the games very often himself. Dunwich is a family-friendly club and each ticket holder is allowed to bring a family member for free. Now the first season comes to an end and the club chairman would like to thank season ticket holders and invite them to a party. But alas the club accounting is not very mature: the database on season ticket sales was lost in an unfortunate accident2 and no one has ever counted tickets sold on the day
. 1Not to be confused with Dulwich Hamlet or Dunwich Dynamo.
2Dog ate chairman’s notebook
However, the chairman holds every copy of Non League Paper which covers Dunwich games and the paper accurately reports the number of spectators for each game. Can he get a good estimate of how many season ticket holders there are from these data? The model and questions. There are a season ticket holders and b “normal” fans. For each game each fan independently decides whether to go to this game or not. The probability for the season ticket holder to attend the game is pa and for the “normal” fan it is pb. The prior distributions on a and b are uniform distributions on [amin, amax] and [bmin, bmax] respectively. Let cn be the total number of ticket holders for the n-th game.
(a) Describe the distribution of the number of ticket holders attending the n-th game p(cn|a, b). What are its mean and variance?
(b) Each ticket holder (independently) with probability pd brings a family member. Let dn be the total number of fans at n-th game (this is the number reported in the paper). What is the mean of the distribution p(dn|cn)?
(c) Draw the graphical model corresponding to this setup (the variables are a, b, c1, c2, . . . , cN , d1, d2, . . . , dN ).

Click here to see answer by ikleyn(52754) About Me 

Question 1127735: Dunwich Hamlet A young and purely fictitious football team Dunwich Hamlet 1 has two types of fans. One type is a hardcore football aficionado, who buys season tickets and rarely misses games. The other type is a typical resident of Dunwich village, who supports his local team but does not go to the games very often himself. Dunwich is a family-friendly club and each ticket holder is allowed to bring a family member for free. Now the first season comes to an end and the club chairman would like to thank season ticket holders and invite them to a party. But alas the club accounting is not very mature: the database on season ticket sales was lost in an unfortunate accident2 and no one has ever counted tickets sold on the day.
11\rot to be confused with Dulwich Hamlet or Dunwich Dynamo. 2 Dog ate chairman's notebook 1
However, the chairman holds every copy of Non League Paper which covers Dunwich games and the paper accurately reports the number of spectators for each game. Can he get a good estimate of how many season ticket holders there are from these data?
The model and questions. There are a season ticket holders and b "normal" fans. For each game each fan independently decides whether to go to this game or not. The probability for the season ticket holder to attend the game is pa and for the "normal" fan it is pb. The prior distributions on a and b are uniform distributions on [amin, aniax] and bmax] respectively. Let cn be the total number of ticket holders for the n-th game.
(a) Describe the distribution of the number of ticket holders attending the n-th game p(cn la, b). What are its mean and variance?
(b) Each ticket holder (independently) with probability pd brings a fam-ily member. Let c10 be the total number of fans at n-th game (this is the number reported in the paper). What is the mean of the dis-tribution p(dnIcn)?
(c) Draw the graphical model corresponding to this setup (the variables are a, b, c1 , c2, . . • , cN, di, d2, • • • , dN)?

Click here to see answer by ikleyn(52754) About Me 

Question 1128376: Several students are unprepared for multiple choice quiz with 10 questions and all their answers are guesses each question has five possible answers and only one of them is correct
A) find the mean and standard deviation for the number of correct answers for such students
B) would it be unusual such a student to pass by guessing and getting at least 7 correct answers

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

Question 1128316: What height is at the 90th percentile?
Click here to see answer by greenestamps(13195) About Me 

Question 1128375: 9% of men in 1/4 of women cannot distinguish between the colors red and green a six-man a randomly-selected find the probability exactly two of them could not tell red from green
Click here to see answer by ikleyn(52754) About Me 

Question 1128396: Two good dice are rolled simultaneously.
Let A denoted "the sum show is 8" and B the event "two show same number".
Find p(A), p(B), p(A ᑎ B) and p(A ᑌ B)?

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

Question 1128409: if 2 percent of elective bulbs manufactured by a certain company are defective,
find the probability that in a sample space of 200 bulbs less than 2 are
defective.

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

Question 1128415: A bird breeder has a total of 50 canaries, 21 are male and 29 are female. a pet shop randomly selects 8 of them.
1. probability that none of the eight are female?
2. probability that five of the eight are male?
3. probability that at least 6 of the 8 are female?
4. probability that at least two of the eight are males?

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

Question 1128414: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.6 cm.
a. Find the probability that an individual distance is greater than
210.00cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 196.00 cm.
A. 0.0735 I got this one.
B. Need help with this and please show work so I can understand.

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

Question 1128427: A class of 12 eggs in a refrigerator,2 are bad.from these 4 chosen at random to make a cake.what is the probability that at least one is good
Click here to see answer by ikleyn(52754) About Me 

Question 1128395: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to wear with his new polo shirt?
Click here to see answer by Alan3354(69443) About Me 

Question 1128426: Find the probability that three positive integer can be formed with six digit 0,1,2,3,4,5 if(1)repetition are not allowed(2) repetition are allowed(3) the last digit must be zero and repetition are not allowed(4) integer are greater than 220 and repetition are not allowed
Click here to see answer by ikleyn(52754) About Me 

Question 1128372: When you give a casino $5 for a bet in the game of craps there is a 244 / 495 probability that you will win $5 and a 251 / 495 probability that you lose $5 what is the expected value of your $5 bet?
Click here to see answer by htmentor(1343) About Me 

Question 1128429: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 9.1 hours.

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

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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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