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

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Question 1161521: Professor Meredith from the University of North Dakota has been working on a new cholesterol medication that is being called TriglicoKiller. The university is now conducting studies to determine if there is a possible side effect of nose bleeds.
Placebo (Population Rate)
To help determine the usual rate of nose bleeds, the research team gave a placebo (sugar pill) to 1713 subjects. Of those 1713 subjects, 4 of them developed nose bleeds.
TriglicoKiller Trial
The TriglicoKiller drug was given to 2741 subjects. Of those 2741 subjects, 18 of them developed nose bleeds.
Question: If you had a sample size of 2741 that did NOT use TriglicoKiller, how many would expect to develop nose bleeds?

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

Question 1161570: Vince Showers, Managing Director for Sleaz Entertainment, claims that the average age of their customers is at least 23. If this is not the case, Showers will face charges of violating local ordinances regarding public decency. One hundred customers averaged 19.7 years with s=10.2. Set alpha at 1 percent. State and test the hypotheses. Must Showers appear in court?
Click here to see answer by Boreal(15235) About Me 

Question 1162168: a machine is packaging nominal weight is 800 grams packets and it has been found that over a long period the actual weights put in the packets has been normally distributed with a standard deviation of 5grams
Click here to see answer by ikleyn(52754) About Me 

Question 1162124: 1. A manager is keen to investigate about the smoking status in his company. He believes that 40% of his employees smoke. The manager survey 25 employs randomly.
a) What is the probability that 8 or more employees were smoker?
b) What is the probability that more than 8 employees were smoker?
2. Given the following z scores, find the area below z:
a) 1.68
b) -0.45
c) -1.96
d) -0.52
e) 2.58
Show calculations with explanation.

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

Question 1162198: Suppose the sample space of a statistical experiment is A, B, C where P(A) = 0.26 and P(B) = 0.73. Determine: p(c) ,p(a)
Click here to see answer by ikleyn(52754) About Me 

Question 1162115: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95​% confidence that the sample mean is within 6 IQ points of the true mean. Assume that sigmaequals17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Click here to see answer by Theo(13342) About Me 

Question 1162197: Suppose that I construct a confidence interval for the mean test grade on exam 1 using Statcrunch and get Upper Limit, 68.9 and a lower limit 76.3. State the conclusion for the confidence interval
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1162217: If a salesperson has gross sales of over​ $600,000 in a​ year, then he or she is eligible to play the​ company's bonus​ game: A black box contains 2 ​one-dollar bills, 1​ five-dollar bill and 1​ twenty-dollar bill. Bills are drawn out of the box one at a time without replacement until a​ twenty-dollar bill is drawn. Then the game stops. The​ salesperson's bonus is​ 1,000 times the value of the bills drawn. Complete parts​ (A) through​ (C) below.
Click here to see answer by ikleyn(52754) About Me 

Question 1161757: A researcher wishes to estimate within $25 the average cost of postage a community college spends in one year. If she wishes to be 90% confident, how large of a sample will be necessary if the population standard deviation is $80.

Click here to see answer by Lavanya gupta(1) About Me 

Question 1162234: Your friend offers you to play a game. To play it, you will roll two fair dice. If the sum of the two numbers obtained is 2,3,4,9,10,11,or 12, you will win RM20. However, if the sum of the two numbers is 5,6,7 or 8, you will pay your friend RM20. From this game, you observe that you have seven winning numbers and only four losing numbers. Should you play this game? To decide, provide appropriate calculations to support your reasons.
Click here to see answer by greenestamps(13195) About Me 

Question 1162233: Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 540 and a standard deviation of 250. The supermarket is open 13 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 7500? (Hint: Calculate the average hourly number of customers necessary to exceed 7500 in one 13-hour day.)
Click here to see answer by Theo(13342) About Me 

Question 1161964: A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability that the farmer will count 60 or more flights on average in the next 40 rows down which he drives his​ tractor? Round to four decimal places.
Click here to see answer by Boreal(15235) About Me 

Question 1162210: In a standard deck of 52 playing cards, two cards are known: the 2 of hearts, and the 2 of clubs.
If four cards are drawn from the remaining 50 cards in the deck, without replacement, what is the probability that at least one of the cards is a club OR a heart?

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

Question 1162229: When a hockey team gets possession of the puck, the following probabilities have been estimated:
They carry the puck over the opposing blue line 0.6
They get a shot on net 0.3
They get a shot and score 0.01
Cross the blue line and score 0.005
Determine the probability that they score given that they cross the blue line.

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

Question 1162254: The chance or probability of getting accepted is 0.85. The chance of getting accepted even when bad is 0 25. So therefore the chance of being bad and getting selected is
Click here to see answer by ikleyn(52754) About Me 

Question 1162250: The angle between the vectors (1, 0, −1, 3) and (1, √ 3, 3, −3) in R^4 is aπ. Find a.
Click here to see answer by ikleyn(52754) About Me 

Question 1162261: A television station claims that the amount of advertising per hour of broadcast time has an average of 17 minutes and a standard deviation equal to 2.2 minutes. You watch the station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 8 minutes. Calculate the​ z-score for this amount of advertising time
Click here to see answer by Boreal(15235) About Me 

Question 1162123: 1. 30 randomly selected students were asked how much TV they watched last night.
1, 3, 2, 0, 4, 1, 2, 1, 5, 3, 0, 4, 2, 3, 2, 3, 1, 0, 4, 5, 2, 1, 3, 3, 2, 4, 1, 5, 1, 0
a) What is single sample mean?
b) Average American teenager watches 4 hours with a standard deviation of 1.5. What is standard deviation of sample mean distribution?
2.Given that x has a Poisson distribution with μ = 5, what is the probability that x = 1?
3. You are a production manager for a newspaper. You want to find the percentage defective. Of 250 newspapers, 50 had defects. What is the 95% confidence interval estimate of the population proportion defective?

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

Question 1162271: the level of significance of statistical test indicates
Click here to see answer by MathLover1(20849) About Me 

Question 1162277: A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $16 to reach in and withdraw one bill. What is the expected value?
$

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

Question 1162282: by throwing 2 fair dice, what is the probability of getting two same faces when you get the sum of two dice is not greater than 3.
Click here to see answer by ikleyn(52754) About Me 

Question 1162285: In a study of 600 meals in 75 cafeterias, 141 had less than 10 grams of fat but not less than 350 calories. 123 had less than 350 calories but not less than 10 grams of fat; 174 had over 350 calories and over 10 grams of fat.
I first need to find the percentage of meals with less than 10 grams of fat and round my answer to the nearest tenth

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

Question 1162290: How to write an probability event for this sentence, 141 meals had less than 10 grams of fat but not less than 350 calories,
But implies intersection or union ?

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

Question 1162291: How to write an probability event for this sentence, 141 meals had less than 10 grams of fat but not less than 350 calories,
But implies intersection or union ?

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

Question 1162255: A boy goes to school either by bus or on foot. If one day he goes to the school by bus. Then the probability that he goes by bus the next day is 7/10. If one day he walks to school then the probability that he goes by bus the next day is 2/5.
1) Given that he walks to school on a particular Tuesday, find the probability that he will go to the school by bus on Thursday of that week.
2) Given that he boy walks to school on both Tuesday and Thursday of that week, find the probability that he will also walk to the school on Wednesday.

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

Question 1162279: In a random sample of 500 observations, we found the proportion of success to be 48%. Estimate with 95% confidence the population proportion success.
Click here to see answer by AnlytcPhil(1806) About Me 

Question 1162297: The access code consists of four digits. The first digit cannot be zero and the last digit must be odd. How many different codes
are available? Digits cannot repeat.
Here's my work so far....
4 digits total, 1st cannot be 0, last digit must be odd, no repeats allowed
1st digit cannot be 0, with no repeats allowed leaves (9) options
2nd Digit no repeats allowed but could be 0 which leaves (9) options again
3rd Digit no repeats allowed, which leaves (8) options
4th Digit must be odd, no repeats, 1,3,5,7,9 this leaves (5) options
Question does not mention if previous digits were odd numbers which would change values quite a bit, but this teacher is straightforward, not into complicate multi answer questions leading me to stick with 5 options for 4th digit
This leads me to take values and multiply 9x9x8x5=3,240 possible combinations. I'm just not sure if this is right or if I'm missing something. Thanks for your help!

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

Question 1162298: A license plate has three letters and two digits. How many
plates can you have if the first digit cannot be zero and the
digits cannot repeat?
Think I've got it but am not sure Here's my Work
License plates = 3Letters, 2 Digits, 1st Digit can't be 0, Digits no Repeats
Each Letter(L)has 26 possible options so first set this up L(26)L(26)L(26)
Now Digits (D)
1st Digit (D) cannot be 0 which leaves (9) options
2nd Digit (D) no repeats allowed but could be 0 which brings back to (9) options
Problem now looks line L(26)L(26)L(26) D(9)D(9)
I multiply out 26x26x26x9x9= 1,423,656 possible combinations
Is this correct?

Click here to see answer by Alan3354(69443) About Me 
Question 1162298: A license plate has three letters and two digits. How many
plates can you have if the first digit cannot be zero and the
digits cannot repeat?
Think I've got it but am not sure Here's my Work
License plates = 3Letters, 2 Digits, 1st Digit can't be 0, Digits no Repeats
Each Letter(L)has 26 possible options so first set this up L(26)L(26)L(26)
Now Digits (D)
1st Digit (D) cannot be 0 which leaves (9) options
2nd Digit (D) no repeats allowed but could be 0 which brings back to (9) options
Problem now looks line L(26)L(26)L(26) D(9)D(9)
I multiply out 26x26x26x9x9= 1,423,656 possible combinations
Is this correct?

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

Question 1162300: A company is selling raffle tickets for $4. The first prize is $3500,
and the second prize is $500. The company manages to sell 5000 tickets.
X 3496 496 -4
P(x) 1/5000 1/5000 4998/5000
What is the Expected Value?

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

Question 1162301: Leave answers as fractions. Indicate whether it is an add or
multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.
Find the probability of selecting a three or a club?

Click here to see answer by greenestamps(13195) About Me 
Question 1162301: Leave answers as fractions. Indicate whether it is an add or
multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.
Find the probability of selecting a three or a club?

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

Question 1162302: Leave answers as fractions. Indicate whether it is an add or
multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.

Find the probability of selecting a two and a heart?

Click here to see answer by greenestamps(13195) About Me 
Question 1162302: Leave answers as fractions. Indicate whether it is an add or
multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.

Find the probability of selecting a two and a heart?

Click here to see answer by ikleyn(52754) About Me 
Question 1162302: Leave answers as fractions. Indicate whether it is an add or
multiply.
You are dealt a hand of five cards from a standard deck of 52 cards.

Find the probability of selecting a two and a heart?

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

Question 1162125: J.J. Thomson (1856 - 1940) discovered the electron by negatively charged particles for which he could measure the mass - change ratio. The ratio appeared to be constant over a wide range of experimental conditions and consequently could be characteristics of a new particle. His observations from two cathode ray tubes that used air as the gas are
Tube 1 0.57 0.34 0.43 0.32 0.48 0.40 0.40
Tube 2 0.53 0.47 0.47 0.51 0.63 0.61 0.48
(i) Draw dot diagram with solid dots for Tube 1 observations and circles for Tube 2 observations.
(ii) Calculate the mean and standard deviation for the Tube 1 observations.
(iii) Calculate the mean and standard deviation for the Tube 2 observations.

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

Question 1162339: A business employs 300 men and 200 women. Five percent of the men and ten percent of the
women have been working there form more than 25 years. If an employee is selected by chance,
what is the probability that the employee is a male given that the length of employment is more
than 25 years?

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

Question 1162322: i. Two examples of a hypothesis are: 1) mean monthly income from all sources for senior citizens is $841 and 2) twenty percent of juvenile offenders ultimately are caught and sentenced to prison.
ii. Hypothesis testing is a procedure based on sample evidence and probability theory to decide whether the hypothesis is a reasonable statement.
iii. The test statistic for a problem involving an unknown population standard deviation is the Student's t distribution.
Multiple Choice

(i) and (iii) are correct statements but not (ii).

(i), (ii), and (iii) are all false statements.

(i) and (ii) are correct statements but not (iii).

(i) is a correct statement but not (ii) or (iii).

(i), (ii), and (iii) are all correct statements.

Click here to see answer by solver91311(24713) About Me 

Question 1162347: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. A fourth card is flipped, and known: the 6 of clubs.
The three cards are played in order. What is the probability that the first card played is the 2 of hearts, the second card played is the 3 of hearts, and the third card played is neither a club nor a heart.

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

Question 1162348: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. A fourth card is flipped, and known: the 6 of clubs.
The three cards are played in order. What is the probability that the first card played is either the 2 of hearts, 2 of spades or 2 of diamonds; the second card played is the 3 of the same suit as the first card played, and the third card played is neither a club nor a heart.
Would the answer be: (3/51)*(1/50)*(26/49) = 0.00062425
Thanks

Click here to see answer by solver91311(24713) About Me 

Question 1162354: Among the class of 100 students, 75 studied Botany, 55 studied Biology and 40 students
studied both of the subjects. A student is selected at random from this class what is the
probability that
i) student studied at least one subject
ii) student studied Botany but not Biology
iii) student studied Biology but not Botany
iv) student studied none of the subjects

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

Question 1162357: There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?

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

Question 1162364: The coach of a college basketball team is in charge of selecting a team for the upcoming season. The coach has hosted try-outs and has cut the possible player list down to 20 players. The coach has to select 12 players from this list of 20 possible players. Suppose that 15 of these 20 players have played at the college level before. Create the probability distribution for the number of experienced players selected for this team.
Click here to see answer by solver91311(24713) About Me 

Question 1162381: Please help me solve this problem :
A school's faith awareness group consists of 15 students and 3 teachers. If four members of the groups are randomly chosen to go to a retreat, determine the probability of selecting three students.

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

Question 1162362: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. A fourth card is flipped, and known: the 6 of clubs.
The three cards are played in order. What is the probability that the first card played is either the 2 of hearts, 2 of spades or 2 of diamonds; the second card played is the 3 of the same suit as the first card played, and the third card played is neither a club nor a heart.
Would the answer be: (3/51)*(1/50)*(26/49) = 0.00062425 ?
Thanks

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

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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, 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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, 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