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

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Question 1028801: Can you please look over my work? I am unsure. Thanks!

You were interested in how long the average psychology major at your college studies per night, so you asked 10 psychology majors to tell you the amount they study. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4.
(a) Find the 95% confidence interval on the population mean.
Sample mean = 2.25, n=10 and σ=1.0548. Using standard normal distribution and assuming that the population standard deciation is known , the 95% CI for the population mean is:
Sample mean ±1.96(σ/√n)
=2.25±1.96((1.10548)/√10)
=2.25±.6538
= (1.596,2.904)
(b) Find the 90% confidence interval on the population mean.
The 90% CI is:
Sample mean ±1.645(σ/√n)
=2.25±1.645((1.0548)/√10)
=2.25±.549
= (1.701, 2.799)

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

Question 1028823: Suppose a furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.

1. The probability of at least one sale out of three customers is?
A) .512 B) .488 C) .6 D) .841
2. The probability of exactly one sale out three customers is?
A) .2 B) .141 C) .8 D) .384 E) .128

Click here to see answer by Fombitz(32388) About Me 
Question 1028823: Suppose a furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.

1. The probability of at least one sale out of three customers is?
A) .512 B) .488 C) .6 D) .841
2. The probability of exactly one sale out three customers is?
A) .2 B) .141 C) .8 D) .384 E) .128

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

Question 1028799: ] The cumulative distribution function of the random variable X is given by:
F(x)={(1-9/(x^2 ) )for x<3 otherwise 0
Find the probability density function for the random variable X.
compute p(X≤ 5) and p( 8< X )
Find the expected value for the random variable X.


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

Question 1028808: The length of time patients must wait to see a doctor at an emergency room in a large hospital is uniformly between minutes and 3 hours.
What is the probability density function for this uniform distribution?
what is the probability that a patient would have to wait between 50 minutes and 2 hours?
what is the probability that a patient would have to wait exactly one hour?

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

Question 1028798: Let X be the random variable defined as follows: A fair coin is tossed three times. If all tosses yield tails, X=5. Otherwise X=n, where the n-th toss is the first toss that yields a head. Calculate and write down a probability table for X.
Click here to see answer by robertb(5830) About Me 

Question 1028854: how many 7 digit phone numbers are possible if consecutive digits must be different?
is the probability equation of nPr=n!/(n-r)! correct? please help

Click here to see answer by richard1234(7193) About Me 

Question 1028850: You draw two cards from a standard deck of playing cards without replacing the first one before drawing the second.
a. Are the two outcomes on the two cards independent? Why?
b. Find P(ace on 1st card and king on 2nd)
c. You repeat this problem but this time plan to put the first card back and reshuffle the deck before selecting the second card. Are the outcomes on the two cards independent?
d. Find P(ace on 1st card and king on 2nd).

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

Question 1028846: A certain furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.
1. The most likely outcome is?
A) YYY B)NNN C)YNY D) NNY E) YNN
I was thinking it might either be NNN or NNY because the percent is so low. Am I right?
2. The probability of NNY is?
A) .128 B) .6 C) .2 D) .5
How would you solve this?

Thanks in advance!

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

Question 1028832: Suppose a furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.
1. The most likely outcome is?
A) YYY B)NNN C)YNY D) NNY E) YNN
2. The probability of NNY is?
A) .128 B) .6 C) .2 D) .5
Thanks in adavance!

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

Question 1028816: Suppose a furniture store found that 20% of the people who enter buy something. Three potential customers walk in. Y means a sale, and N means no sale.
1. The most likely out come is?
a)YYY B)NNN C)YNY D) NNY E) YNN
This problem confused me because it seems there is more than 1 right answer?
2. The probability of NNY is?
This confused me because I don't know how to solve for it.


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

Question 1028897: What is the probability that you will get either a head or a tail when you flip a coin?
Click here to see answer by FrankM(1040) About Me 

Question 1028921: Under the standard normal curve what z-score divides the bottom 13% from the top 87% of data?
Click here to see answer by stanbon(75887) About Me 

Question 1028988: If you were to make up a random 13-digit number, what is the probability that it could pass as a legitimate ISBN based on the check digit?

Click here to see answer by mathmate(429) About Me 

Question 1028909: how can i get standard deviation and sample size from the following data
Data from five paediatric centres were compared in children
who received 0.05 (41 episodes) or 0.1 units/kg/h (52 episodes)
In the low vs. standard dose group, at 6 h following admission,
the fall in blood glucose levels [11.3 (95% confidence interval 8.6 to 13.9) vs. 11.8 (8.4 to 15.2) mmol/L, p = 0.86] and rise in pH [0.13 (0.09 to 0.18) vs.
0.11 (0.07 to 0.15), p = 0.78] were similar
it's not home work it's a research

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

Question 901356: Question 1 - Consider two urns. Urn 1 contains 4 red balls and 2 white balls, and urn 2 contains 3 balls of each color. If 2 balls are drawn from urn 1 without replacement and transferred to urn 2 and then a ball is drawn from urn 2, what is the probability that the ball drawn from urn 2 will be red . Given that the ball drawn from urn 2 was red, what is the conditional probability that (a) 0 (b) 1 (c) 2 red balls are transfered
Question 2- Let urn 1 contains 4 red balls and 2 white balls, and let the urn 2 contain 3 balls of each color. If a ball is drawn at random from urn 1 and transferred to urn 2 and then a ball is drawn at random from urn 2, what is the probability that the second ball drawn will be red

Click here to see answer by Natolino1983(23) About Me 

Question 1029061: An Epson inkjet printer advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume this claim is accurate and that the standard deviation for this population is 15 pages. A random sample of 33 customers was surveyed about the number of pages they were able to print with their black ink cartridges. What the probability that the sample mean will be 246 pages or less?
A. 0.8729
B. 0.6480
C. 0.3520
D. 0.1093

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

Question 1028981: Thirty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50
Click here to see answer by Alan3354(69443) About Me 

Question 1029050: A group of students from a college are expressing some concern with the amount of coffee that is being dispensed from a certain machine. The standard deviation for the population of fills is .24 oz.
1. If a margin of error of .08 is wanted for a 95% confidence interval, what sample size should be used?
2. If each of 100 students take a sample of 100 fills from the machine, and calculates the 95% confidence interval for the population mean fill, how many intervals are expected to have the value of the mean?
A) 38 B) 2 C) 5 D) 76 E) 95

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

Question 1029069: Suppose you take a sample of 20 individuals who took this IQ test. What are the mean and the standard deviation of the sampling distribution of the average score of this size sample?
Click here to see answer by stanbon(75887) About Me 

Question 1028117: The question is:
how many different numbers can be created by selecting 4 of the digits from the number 8712395

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

Question 1029077: Suppose a truck company takes 31 hours of labor to build a car and the labor time is distributed with standard deviation 2 hours. y means the sample space for a sample of 25 trucks.
What is the mean and standard deviation for Y?

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

Question 1029127: Let x be a random variable that represents the commute time of teachers in a large urban area. If x is normally distributed with a mean of 46 minutes and a standard deviation of 5 minutes, find the commute time which is at the top of the bottom 25%.

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

Question 1029117: There are 10 ball in a bag 3 of them are red. If one ball is chosen,what is the probability that it will be red.
Click here to see answer by Boreal(15235) About Me 

Question 1029091: A bag contains 7 red marbles,2 blue marbles and 3 green marbles.what is the probability that a randomly selected marble is blue
Click here to see answer by robertb(5830) About Me 

Question 1029162: A shipment of 100 tape recorders contain 30 that are defective. if 10 of them are randomly chosen for inspection.what z d probability that 2 of the 10 will be defective
Click here to see answer by mathmate(429) About Me 

Question 1029031: A gambler in Las Vegas Is cutting a deck of cards for $1,000. What is the probability that the card for the gambler will be the following?
a. A face card
b. A queen
c. a spade
d. A jack of spades

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

Question 1028794: A Box Contains 2 Red Discs And 3 Blue Discs. Two Disks Are Drawn At Random, One At A Time And Placed Side By Side On A Table
i)In How Many Ways Can This Be Done
ii) what is the probability of choosing a blue first and then a red
iii)what is the probability of choosing a pair of the same color
iv)what is the probability of not choosing a red at all

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

Question 1029226: If you roll two fair six-sided dice, what is the probability that at least one die shows a 3?
Thanks so much!

Click here to see answer by Fombitz(32388) About Me 
Question 1029226: If you roll two fair six-sided dice, what is the probability that at least one die shows a 3?
Thanks so much!

Click here to see answer by Natolino1983(23) About Me 

Question 1029221: A math teacher gives two different tests to measure students’ aptitude for math. Scores on the first test are normally distributed with a mean of 24 and a standard deviation of 4.5. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11.3. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1029232: Assume that you toss a fair six-faced die two times.
What is the probability that you get an even number at the first toss? (Show work and write the answer in simplest fraction form)

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

Question 1029248: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed. If a sample of 10 dinners is selected, find the probability that the mean of the sample will be larger than 670 mg.
Click here to see answer by stanbon(75887) About Me 

Question 1029247: In a survey, 40% of the voters support Mr. Smith as a candidate for presidency. If 8 voters are chosen at random, then let X = number of voters who support Mr. Smith.
a. What is the distribution of X?

b. What are the possible values of X (range)?
c. What is the expectation (mean) of X?

d. What is the variance of X?

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

Question 1029241: A quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.30 with a sample standard deviation of 1.55. Assume the underlying population is normally distributed.
Please calculate margin of error with steps.

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

Question 1029293: A and B are two disjoint events. If P(A) = 0.5, and P(B) = 0.4, then P(A AND B) is:
Please show work.
(a) 0.9
(b) 0.2
(c) 0
(d) cannot be determined

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1029293: A and B are two disjoint events. If P(A) = 0.5, and P(B) = 0.4, then P(A AND B) is:
Please show work.
(a) 0.9
(b) 0.2
(c) 0
(d) cannot be determined

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

Question 1028488: Hello!
I am doing probability distributions and finding the mean and standard deviation of a binomial distribution at the moment and have a multiple step question i need help on.
It is: Find the mean and standard deviation for each of the following binomial random variables.
A.) the number of tails seen in 50 tosses of a quarter
B.) the number of aces seen in 100 draws from a well-shuffled bridge deck( without replacement)
C.) the number of cars found to have unsafe tires among the 400 cars stopped for inspection. Assume 6% of all cars have one or more unsafe tires.
D.) The number of melon seeds that germinate when a pack of 50 seeds is planted. The probability of germination is .88.
I know how to get to the binomalpdf on the calculator, i am just having trouble knowing what information to put in where. Any help would be greatly appreciated. Thank you!!!

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

Question 1027798: Q1
Suppose that the random variable X has the following cumulative distribution function:
x -1 1 3 5
F(x) 1/4 1/2 3/4 1
Find the probability distribution of this random variable.
Find p(x<3),p(x ≥1 )
Find the mean of the random variable X.
Find the standard deviation of the random variable X.



Q2


The cumulative distribution function of the random variable X is given by:
F(x)={0(1- 9/x^2 ) for3 Find the probability density function for the random variable X.
compute p(X≤ 5) and p( 8< X )
Find the expected value for the random variable X.



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

Question 1027979: The random variable x represents the number of cars per household in a town of 1000 households. Find the
probability of randomly selecting a household that has less than two cars.
Cars Households
0 125
1 428
2 256
3 108
4 83

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

Question 1029327: A population consists of 15 items, 10 of which are acceptable.

In a sample of four items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement. (Round your answer to 4 decimal places.)

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

Question 1029372: A cereal company has been running a radio advertisement for a new cereal. A marketing research firm determined that probability that an individual has heard the advertisement is 0.5, the probability that an individual bought the cereal is 0.2 , and the probability that an individual has heard the advertisement and bought the cereal is 0.1.
a) What is the probability that an individual will purchase the product, given that the person has heard the advertisement?
b) What is the probability that an individual has heard the advertisement, given that the person purchased the product?
c) Are the two events, the person purchased the product, and an individual has heard the advertisement independent events? Justify your answer.

Click here to see answer by mathmate(429) About Me 

Question 1029370: The cumulative distribution function of the random variable X is given by:
F(x)={(1- 9/x^2 ) for( 3 < x )otherwise0
Find the probability density function for the random variable X.
compute p(X≤ 5) and p( 8< X )
Find the expected value for the random variable X.

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

Question 1029276: Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Ashley and her merciless band of thieves.
The Captain has probability 3/4 of hitting the pirate ship. The pirate only has one good eye, so she hits the Captain's ship with probability 1/4.
If both fire their cannons at the same time, what is the probability that the pirate hits the Captain's ship, but the Captain misses?

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

Question 1029390: If you toss the coin 100 times, how many times would you expect to get a head?
Click here to see answer by fractalier(6550) 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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